← GATE 2026
GATE · Environmental Science Engineering (ES)

GATE Environmental Science Engineering (ES) 2026

2026 · 65 questions · First 10 Solutions Free
Questions 1–10 have full step-by-step solutions visible. Sign in to unlock all 65 →
Q1 mcq
Suresh said, “I did it yesterday.” Which one of the following options is the correct form of this sentence in indirect speech?
a.
Suresh said that I did it yesterday.
b.
Suresh says I did it yesterday.
c.
Suresh says that he did it the day before.
d.
Suresh said that he had done it the day before. Correct Answer

No explanation saved for this question yet.

Q2 mcq
To continue the sequence of tiles shown, the tile indicated by the question mark should be
Question 2 image
a.
Choice A image
b.
Choice B image
c.
Correct Answer Choice C image
d.
Choice D image

No explanation saved for this question yet.

Q3 mcq
Consider an art gallery whose walkways are shown as lines in the diagram. A black dot represents a junction of two walkways. A guard may be placed at a junction to watch over the walkways that join at that junction. The minimum number of guards needed to watch all the walkways is ________.
Question 3 image
a.
2
b.
3 Correct Answer
c.
4
d.
5

No explanation saved for this question yet.

Q4 mcq
The 2 nd of June is a Thursday in a certain year. Which day of the week is the 3 rd of July in that year?
a.
Thursday
b.
Friday
c.
Saturday
d.
Sunday Correct Answer

No explanation saved for this question yet.

Q5 mcq
A coin with heads facing up is shown as and a coin with tails facing up is shown as. Six coins are placed in the Starting Arrangement, as shown in the figure below. A “step” is defined as interchanging a pair of adjacent coins without flipping them. The minimum number of steps needed to go from the Starting Arrangement to the Final Arrangement, as shown in the figure, is ________.
a.
3
b.
6
c.
9 Correct Answer
d.
12

No explanation saved for this question yet.

Q6 mcq
Exacerbate: Mitigate:: ___________ Choose the option with the correct pair of words to fill the blank.
a.
Aggravate: Alleviate Correct Answer
b.
Alleviate: Precipitate
c.
Aggravate: Precipitate
d.
Emancipate: Exonerate

No explanation saved for this question yet.

Q7 mcq
A paper shown in Panel I is folded along the dashed lines (- - -) to construct a cube. The shaded regions shown in Panel I appear on the outer surface of the cube. Referring to cubes shown in Panel II, which one of the options is correct?
Question 7 image
a.
Only (i) can correspond to the unfolded cube in Panel I.
b.
Only (ii) can correspond to the unfolded cube in Panel I. Correct Answer
c.
Both (i) and (ii) can correspond to the unfolded cube in Panel I.
d.
Neither (i) nor (ii) can correspond to the unfolded cube in Panel I.

No explanation saved for this question yet.

Q8 mcq
In a population, patients who have high cholesterol also have high blood-pressure (BP). Some patients with high BP also have diabetes. There are no patients who have both high cholesterol and diabetes. Furthermore, 1. the total number of patients with at least one of these conditions is 75, 2. the number of patients with high cholesterol is 10, 3. the number of patients with high BP is 45, and 4. the number of patients with only high BP and no other conditions is 20. Then the number of patients who have both diabetes and high BP is _______
a.
0
b.
15 Correct Answer
c.
20
d.
10

No explanation saved for this question yet.

Q9 mcq
Four people P, Q, R, and S, of different ages, make the following observations. P – I am younger than S. Q – I am neither the youngest nor the oldest. R – P is older than me. Based on these observations, the youngest person is ______.
a.
P
b.
Q
c.
R Correct Answer
d.
S

No explanation saved for this question yet.

Q10 mcq
Circles $C$, $C$, and $C$, with centers $O$, $O$, and $O$, and radii $r$, $r$, and $r$, 1 2 3 1 2 3 1 2 3 respectively, touch each other as shown in the following figure. Given cm, $r$ 1 = 2 $r$ 2 = 1 cm and the angle $∠O$ 1 $O$ 3 $O$ 2 is 90°, $r$ 3 = _____ cm.
Question 10 image
a.
1 (-3 + $\sqrt{17}$) 2 Correct Answer
b.
1 (3 + $\sqrt{17}$) 2
c.
1 (-2 + $\sqrt{17}$) 2
d.
1 (-3 + $2\sqrt{17}$) 2

No explanation saved for this question yet.

🎉 10 Free Sample Solutions Completed

Unlock All 65 Questions & Solutions

Sign up free in seconds to unlock step-by-step AI answers for the remaining 55 questions.

Q11 mcq
If $2X$ + [
a.
[ ] 2 5 5 3
b.
[ ] -1 3 2 -1
c.
[ ] 1 3 2 -1
d.
[ ] 1 0 0 1
Correct Answer & Step-by-Step Solution Locked

Sign in free to reveal the correct answer and AI explanation for this question.

Q12 mcq
The correct integral of $\int$
a.
$x$ $-2\sqrt{2}$ sin + $c$ 2
b.
$x$ $-2\sqrt{2}$ cos + $c$ 2
c.
Choice C image
d.
- sin $+c$ 1 $x$ $\sqrt{2}$ 2
Correct Answer & Step-by-Step Solution Locked

Sign in free to reveal the correct answer and AI explanation for this question.

Q13 mcq
Given $f(x)$ = $3x$ 4 + $4x$ 3 - $12x$ 2 + 6, the minimum value of $f(x)$ is ______.
a.
-6
b.
-36
c.
-26
d.
-46
Correct Answer & Step-by-Step Solution Locked

Sign in free to reveal the correct answer and AI explanation for this question.

Q14 mcq
A box contains 26 cards with all English alphabets from A to Z. The probability of randomly choosing the card with either ‘E’ or ‘S’ from this box is ______.
a.
2/26
b.
1/26
c.
3/26
d.
4/26
Correct Answer & Step-by-Step Solution Locked

Sign in free to reveal the correct answer and AI explanation for this question.

Q15 mcq
Which ONE of the following options is the CORRECT formula for Chi-Square (χ 2) test? Given, $O$, $O$, ….. $O$ are the observed values, $E$, $E$, ….. $E$ are the corresponding 1 2 $n$ 1 2 $n$ expected values, $O̅$ is the mean of observed values,, n is the number of observations, µ is the mean of $E i$, $i$ = 1, …, $n, σ o$ is the standard deviation of observed values, and $σ E$ is the standard deviation of expected values $E i$, $i$ = 1, …, $n.$
a.
Choice A image
b.
Choice B image
c.
$O̅ -μ$ χ 2 = $σ o \sqrt{n}$
d.
$(σ$) 2 χ 2 = $o$ $(σ$) 2 $E$
Correct Answer & Step-by-Step Solution Locked

Sign in free to reveal the correct answer and AI explanation for this question.

Q16 mcq
In the reversible reaction shown below, $k$ is the forward reaction rate constant and $f$ $k r$ is the reverse reaction rate constant. The CORRECT expression representing the reaction equilibrium constant is ______.
a.
$k f$ + $k r$
b.
$k f \times k r$
c.
$k f$ $k r$
d.
$k r$ $k f$
Correct Answer & Step-by-Step Solution Locked

Sign in free to reveal the correct answer and AI explanation for this question.

Q17 mcq
The major class of enzymes catalyzing the cleavage of $C$ - $C, C$ - $O, C$ - $N,$ or other bonds by elimination, leaving double bonds or rings, or addition of groups to double bonds in any biochemical reactions is ______.
a.
lyases
b.
transferases
c.
oxidoreductases
d.
hydrolases
Correct Answer & Step-by-Step Solution Locked

Sign in free to reveal the correct answer and AI explanation for this question.

Q18 mcq
Malaria is caused by pathogenic _____.
a.
bacteria
b.
fungi
c.
protozoa
d.
viruses
Correct Answer & Step-by-Step Solution Locked

Sign in free to reveal the correct answer and AI explanation for this question.

Q19 mcq
Consider the following statements regarding the pressure measured at a point in a fluid. S1: Absolute pressure is gauge pressure plus atmospheric pressure. S2: Gauge pressure is measured by considering absolute zero pressure as datum. S3: Absolute pressure is measured by considering atmospheric pressure as datum. S4: Vacuum pressure is negative pressure obtained by subtracting absolute pressure from atmospheric pressure. Which ONE of the following options lists all the TRUE statements?
a.
S1 and S2
b.
S2 and S3
c.
S1 and S4
d.
S1, S2, and S4
Correct Answer & Step-by-Step Solution Locked

Sign in free to reveal the correct answer and AI explanation for this question.

Q20 mcq
Which ONE of the following options CORRECTLY matches the processes associated with the growth condition given in the table? Process Growth Condition (P) Activated sludge process (i) Anaerobic suspended growth (Q) Anaerobic filter (ii) Anaerobic attached growth (R) Trickling filter (iii) Aerobic suspended growth (S) Anaerobic digestion (iv) Aerobic attached growth
a.
(P) - (ii); (Q) - (iii); (R) - (iv); (S) - (i)
b.
(P) - (iii); (Q) - (ii); (R) - (iv); (S) - (i)
c.
(P) - (iii); (Q) - (i); (R) - (iv); (S) - (ii)
d.
(P) - (iv); (Q) - (iii); (R) - (ii); (S) - (i)
Correct Answer & Step-by-Step Solution Locked

Sign in free to reveal the correct answer and AI explanation for this question.

Q21 mcq
In the design of air pollution control devices, size of the particles that are removed with 50% efficiency is termed as ______.
a.
mean size
b.
mode size
c.
cut size
d.
median size
Correct Answer & Step-by-Step Solution Locked

Sign in free to reveal the correct answer and AI explanation for this question.

Q22 mcq
The general atmospheric composition of gases in the decreasing order is ______.
a.
N 2 > O 2 > CO > CO 2 > NH 3
b.
N 2 > O 2 > CO 2 > CO > NH 3
c.
N 2 > CO 2 > O 2 > NH 3 >CO
d.
N 2 > CO 2 > NH 3 > CO > O 2
Correct Answer & Step-by-Step Solution Locked

Sign in free to reveal the correct answer and AI explanation for this question.

Q23 mcq
Which ONE of the following options is NOT a parameter as a part of proximate analysis of municipal solid waste?
a.
Volatile matter
b.
Ash content
c.
Carbon to nitrogen ratio
d.
Moisture content
Correct Answer & Step-by-Step Solution Locked

Sign in free to reveal the correct answer and AI explanation for this question.

Q24 mcq
A species whose impact on an ecosystem is disproportionately large in comparison to its population is called ______ species.
a.
dominant
b.
keystone
c.
apex predator
d.
endemic
Correct Answer & Step-by-Step Solution Locked

Sign in free to reveal the correct answer and AI explanation for this question.

Q25 mcq
Which ONE of the following principles is directly related to environmental compensation?
a.
Intergenerational equity principle
b.
Precautionary principle
c.
Subsidiarity principle
d.
Polluter-pay principle
Correct Answer & Step-by-Step Solution Locked

Sign in free to reveal the correct answer and AI explanation for this question.

Q26 mcq
As per the United Nations General Assembly resolution adopted in 2015 “Transforming Our World: The 2030 Agenda for Sustainable Development”, the number of sustainable development goals (SDGs) is ______.
a.
4
b.
15
c.
17
d.
11
Correct Answer & Step-by-Step Solution Locked

Sign in free to reveal the correct answer and AI explanation for this question.

Q27 mcq
Which ONE of the following options CORRECTLY matches the ISO series with their usages in environmental management system (EMS) given in the table? ISO Series Environmental Management System (P) ISO 14001 (i) Environmental labeling (Q) ISO 14020 (ii) Evaluation of environmental management system (R) ISO 14040 (iii) Addressing environmental aspects of products (S) ISO 14060 (iv) Life cycle assessment procedure
a.
(P) - (i); (Q) - (ii); (R) - (iii); (S) - (iv)
b.
(P) - (ii); (Q) - (i); (R) - (iv); (S) - (iii)
c.
(P) - (iii); (Q) - (iv); (R) - (i); (S) - (ii)
d.
(P) - (iv); (Q) - (iii); (R) - (ii); (S) - (i)
Correct Answer & Step-by-Step Solution Locked

Sign in free to reveal the correct answer and AI explanation for this question.

Q28 msq
Which of the following chemical reactions is/are related to smog formation in the troposphere?
a.
$CFCl$ 3 + $hυ \to CFCl$ 2 + $Cl∙$
b.
$CH$ 3 $O$ 2 + $NO$ + $O$ 2 $\to HCHO$ + $HO$ 2 + $NO$ 2
c.
$M$ $NO$ 2 + $O$ 2 + $hν \to O$ 3 + $NO$
d.
$CH$ 4 + $8O$ 2 $\to CO$ + $H$ 2 $O$ + $2OH∙$ + $4O$ 3
Correct Answer & Step-by-Step Solution Locked

Sign in free to reveal the correct answer and AI explanation for this question.

Q29 msq
Which of the following processes is/are primarily used to remove the organic matter in sludge?
a.
Digestion
b.
Incineration
c.
Magnetic separation
d.
Wet-oxidation
Correct Answer & Step-by-Step Solution Locked

Sign in free to reveal the correct answer and AI explanation for this question.

Q30 msq
Which of the following options is/are CORRECTLY listing the species included in Total Kjeldahl Nitrogen (TKN) estimation of an aqueous sample?
a.
Ammoniacal - N
b.
Nitrite - N
c.
Nitrate - N
d.
Organic - N
Correct Answer & Step-by-Step Solution Locked

Sign in free to reveal the correct answer and AI explanation for this question.

Q31 msq
Which of the following statements is/are CORRECT in the context of hazardous waste management and its risk assessment?
a.
Risk is estimated based on the probability of an action occurring multiplied by the severity of damage.
b.
High octanol water constant $(K$) is indicative of lower accumulation of an $OW$ organic chemical in body tissue.
c.
Pump and treat is an example of contaminated groundwater remediation.
d.
Biological treatment processes are never applied for hazardous waste management.
Correct Answer & Step-by-Step Solution Locked

Sign in free to reveal the correct answer and AI explanation for this question.

Q32 msq
Which of the following statements is/are TRUE about global warming?
a.
Interception of incoming solar radiation by greenhouse gases in earth’s atmosphere is responsible for global warming.
b.
Interception of outgoing longwave radiation by greenhouse gases in earth’s atmosphere is responsible for global warming.
c.
Global warming can cause sea level rise.
d.
Carbon dioxide is one of the major greenhouse gases in earth’s atmosphere responsible for global warming.
Correct Answer & Step-by-Step Solution Locked

Sign in free to reveal the correct answer and AI explanation for this question.

Q33 msq
Which of the following options is/are directly associated with the steps involved in carrying out life cycle assessment (LCA)?
a.
Determination of functional unit
b.
Defining goal and scope
c.
Defining technology readiness level
d.
Listing out inventory of inputs and outputs
Correct Answer & Step-by-Step Solution Locked

Sign in free to reveal the correct answer and AI explanation for this question.

Q34 nat
A 6-hour rainfall of 6 cm at a station was found to have a return period of 40 years. The probability that a 6-hour rainfall of this or larger magnitude will occur at least once in 20 successive years at that station is ______ (rounded off to three decimal places).
Numerical answer locked.
Correct Answer & Step-by-Step Solution Locked

Sign in free to reveal the correct answer and AI explanation for this question.

Q35 nat
Water is flowing at the rate of 15 m 3 /s through a rectangular channel of 5 m width. If the acceleration due to gravity (g) is 9.81 m/s 2, the critical velocity for the flow is ______m/s (rounded off to three decimal places).
Numerical answer locked.
Correct Answer & Step-by-Step Solution Locked

Sign in free to reveal the correct answer and AI explanation for this question.

Q36 mcq
A first-order ordinary differential equation is given as follows: $dy$ $dx$ + $x$ 2 $y$ = 0 Which ONE of the following options CORRECTLY represents the characteristics of this equation?
a.
Linear, homogeneous, and exact
b.
Nonlinear, nonhomogeneous, and exact
c.
Linear, homogeneous, and non-exact
d.
Nonlinear, nonhomogeneous, and non-exact
Correct Answer & Step-by-Step Solution Locked

Sign in free to reveal the correct answer and AI explanation for this question.

Q37 mcq
2 2 3 Consider the matrix $A$ = [ 2 5 6 ]. 3 4 10 Which ONE of the following options CORRECTLY lists the eigenvalues of $A?$
a.
1; 8 - $\sqrt{37};$ -8 + $\sqrt{37}$
b.
2; 8 - $\sqrt{37};$ -8 + $\sqrt{37}$
c.
1; 8 + $\sqrt{37};$ 8 - $\sqrt{37}$
d.
2; 8 + $\sqrt{37};$ 8 + $\sqrt{37}$
Correct Answer & Step-by-Step Solution Locked

Sign in free to reveal the correct answer and AI explanation for this question.

Q38 mcq
Which ONE of the following options is CORRECT with respect to sequential breakdown of deoxyribonucleic acid (DNA) into lower-molecular weight compounds?
a.
Choice A image
b.
Choice B image
c.
Choice C image
d.
Choice D image
Correct Answer & Step-by-Step Solution Locked

Sign in free to reveal the correct answer and AI explanation for this question.

Q39 mcq
Which ONE of the following options CORRECTLY matches the Criteria Air Pollutants with measurement methods used in Continuous Ambient Air Quality Monitoring Stations (CAAQMS) operated by Central Pollution Control Board (CPCB) given in the table? Criteria Air Pollutants Measurement Methods (P) Sulphur Dioxide (SO 2, in µg/m 3) (i) Chemiluminescence (Q) Nitrogen Dioxide (NO 2, in µg/m 3) (ii) Non Dispersive Infra Red (NDIR) spectroscopy (R) Particulate Matter (PM 2.5, in µg/m 3) (iii) Ultraviolet fluorescence (S) Carbon Monoxide (CO, in mg/m 3) (iv) Beta attenuation
a.
(P) - (i); (Q) - (ii); (R) - (iii); (S) - (iv)
b.
(P) - (iv); (Q) - (iii); (R) - (ii); (S) - (i)
c.
(P) - (iii); (Q) - (i); (R) - (iv); (S) - (ii)
d.
(P) - (ii); (Q) - (iii); (R) - (i); (S) - (iv)
Correct Answer & Step-by-Step Solution Locked

Sign in free to reveal the correct answer and AI explanation for this question.

Q40 mcq
Which ONE of the following options CORRECTLY matches the atmospheric stability conditions with plume conditions/ behaviours given in the table?
Atmospheric Stability Plume Conditions/
Conditions
(P) Strong (i) Fanning plume
(Q) Neutral stability (ii) Fumigation
(R) Surface inversion (iii) Coning plume
(S) Aloft (iv) Looping plume
a.
(P) - (i); (Q) - (ii); (R) - (iii); (S) - (iv)
b.
(P) - (iv); (Q) - (iii); (R) - (i); (S) - (ii)
c.
(P) - (iii); (Q) - (iv); (R) - (ii); (S) - (i)
d.
(P) - (ii); (Q) - (i); (R) - (iv); (S) - (iii)
Correct Answer & Step-by-Step Solution Locked

Sign in free to reveal the correct answer and AI explanation for this question.

Q41 mcq
The analysis of a water sample is shown in the table. The hardness of the water sample is ______ mg/L as CaCO 3. Atomic weight (g/mol): Ca = 40; Mg = 24; Na = 23; Cl = 35.5; S = 32; O = 16; N = 14 Species Concentration (mg/L)
Question 41 image
a.
87.5
b.
62.5
c.
25.5
d.
47.5
Correct Answer & Step-by-Step Solution Locked

Sign in free to reveal the correct answer and AI explanation for this question.

Q42 msq
A system of linear equations is given as $AX$ = $B,$ 2 where 7 5 and is the solution vector. $A$ = [ ], $B$ = [ ], $X$ 5 3 -2 Which of the following statements is/are TRUE for this system?
a.
Matrix $A$ is skew-symmetric.
b.
Eigenvalues of matrix $A$ are real.
c.
The system is homogeneous.
d.
The system is singular.
Correct Answer & Step-by-Step Solution Locked

Sign in free to reveal the correct answer and AI explanation for this question.

Q43 msq
Which of the following statements is/are CORRECT based on the electron donor (ED) and electron acceptor (EA) used in various bacterial mediated reactions in wastewater treatment?
a.
In anaerobic heterotrophic acid fermentation, organic compounds are used as both ED and EA.
b.
In anaerobic heterotrophic methanogenesis, volatile fatty acids and CO 2 are used as ED and EA, respectively.
c.
In denitrification process by denitrifiers, organic compounds and CO 2 are used as ED and EA, respectively.
d.
In aerobic autotrophic iron oxidation, Fe(II) and O 2 are used as ED and EA, respectively.
Correct Answer & Step-by-Step Solution Locked

Sign in free to reveal the correct answer and AI explanation for this question.

Q44 msq
Which of the following options is/are TRUE about reverse osmosis process?
a.
Reverse osmosis is used as a pretreatment for microfiltration process.
b.
Ultrafiltration is used as a pretreatment for reverse osmosis process.
c.
Membrane fouling occurs in microfiltration and reverse osmosis processes.
d.
Concentration polarization does not occur in reverse osmosis process.
Correct Answer & Step-by-Step Solution Locked

Sign in free to reveal the correct answer and AI explanation for this question.

Q45 msq
Which of the following options is/are TRUE about coagulation-flocculation process?
a.
Collision of colloidal particles due to their Brownian motion results in orthokinetic flocculation.
b.
Collision of colloidal particles due to the external mixing of bulk medium results only in perikinetic flocculation.
c.
In an electric double layer model of a colloidal particle, Stern layer is more compact than the diffuse layer.
d.
The zeta potential is also called Stern potential.
Correct Answer & Step-by-Step Solution Locked

Sign in free to reveal the correct answer and AI explanation for this question.

Q46 msq
Which of the following options is/are CORRECT assumption(s) in the Gaussian plume dispersion model?
a.
The concentration of pollutants emitting from stack is continuous.
b.
The process is under steady state.
c.
The pollutants emitted are non-conservative.
d.
The diffusion of pollutants is dominant in comparison with advection in the direction of wind.
Correct Answer & Step-by-Step Solution Locked

Sign in free to reveal the correct answer and AI explanation for this question.

Q47 nat
The sound level measured at various locations in an urban area is given in the table. The average sound level for that area is ______ dBA (rounded off to two decimal places). Location A B C D Sound level 40 55 65 75 (dBA)
Numerical answer locked.
Correct Answer & Step-by-Step Solution Locked

Sign in free to reveal the correct answer and AI explanation for this question.

Q48 nat
Standard deviation for the particulate matter (PM) concentrations listed in the table is ______ µg/m 3 (rounded off to one decimal place). Location No. 1 2 3 4 5 6 7 PM concentration 45 40 55 65 60 35 50 (µg/m 3)
Numerical answer locked.
Correct Answer & Step-by-Step Solution Locked

Sign in free to reveal the correct answer and AI explanation for this question.

Q49 nat
The mixing ratio of CO 2 at a pressure of 1 atm and at 300K is reported as 340 ppmv. Considering ideal gas conditions, the equivalent concentration of CO 2 in air is ______ mg/m 3 (rounded off to two decimal places). The molecular weight of CO 2 = 44 g/mol Universal gas constant = 8.314 J/mol-K
Numerical answer locked.
Correct Answer & Step-by-Step Solution Locked

Sign in free to reveal the correct answer and AI explanation for this question.

Q50 nat
Reaction A $$ B follows first-order elementary kinetics and the reaction rate constant for A is 0.01 per min. The time taken to reduce the concentration of A from 100 M to 10 M in a batch reactor is ______min (rounded off to one decimal place).
Numerical answer locked.
Correct Answer & Step-by-Step Solution Locked

Sign in free to reveal the correct answer and AI explanation for this question.

Q51 nat
The following two reactions describe the chemistry of S(IV) in an aquatic system. Under ideal conditions, the equilibrium constants for reactions (i) and (ii) are 1.3 $\times$ 10 -2 M (K S1) and 6.6 $\times$ 10 -8 M (K S2), respectively. If the pH of the system is 4.0 and the equilibrium concentration of SO is 1.0 M, 2(aq) the equilibrium concentration of SO 2- is ______ mM (rounded off to one decimal 3 place). $SO 2(aq)$ ⇌ $H$ + + $HSO$ 3- (i) $HSO$ 3- ⇌ $H$ + + $SO$ 32- (ii)
Numerical answer locked.
Correct Answer & Step-by-Step Solution Locked

Sign in free to reveal the correct answer and AI explanation for this question.

Q52 nat
The calibration graph between absorbance and the concentration of chromate (CrO 42-) in a water sample is shown in the figure. For an absorbance of 0.35 in a water sample, the estimated Cr(VI) concentration is ______ mg/L (rounded off to two decimal places). Use the atomic weight (g/mol) of Cr and O as 52 and 16, respectively.
Question 52 image
Numerical answer locked.
Correct Answer & Step-by-Step Solution Locked

Sign in free to reveal the correct answer and AI explanation for this question.

Q53 nat
In a batch culture experiment, 2 cells of a microorganism were added to a growth medium. During the experiment, a lag phase of 1 hour was first experienced by the added cells, in which no cell multiplication occurred. Afterwards, cells started multiplying exponentially with a doubling time of 1 hour. After total 8 hours of experiment, the number of cells present in the growth medium was ______ (answer in integer).
Numerical answer locked.
Correct Answer & Step-by-Step Solution Locked

Sign in free to reveal the correct answer and AI explanation for this question.

Q54 nat
A thermal process, at a specific temperature, results in 2-log 10 removal of non- thermotolerant pathogenic microorganisms from a water sample in 20 min. The time needed to achieve 99.999% removal of these microorganisms under similar condition is ______ min (answer in integer).
Numerical answer locked.
Correct Answer & Step-by-Step Solution Locked

Sign in free to reveal the correct answer and AI explanation for this question.

Q55 nat
A cylindrical roller gate of diameter 6.0 m and length 10.0 m is placed on a dam to store water behind it, as shown in figure. The magnitude of the resultant force due to water acting on that gate when the water is about to spill is _______ $\times$ 10 6 N (rounded off to two decimal places). Consider acceleration due to gravity (g) = 9.81 m/s 2; density of water (ρ) = 1000 kg/m 3; and π = 3.14.
Question 55 image
Numerical answer locked.
Correct Answer & Step-by-Step Solution Locked

Sign in free to reveal the correct answer and AI explanation for this question.

Q56 nat
The mass curve of a rainfall event of 100 min duration over a catchment is given in the table. If the initial loss is 0.6 cm and $φ-index$ is 0.6 cm/hour, the total surface runoff from the catchment is ______ cm (rounded off to one decimal place). Time from start of 0 20 40 60 80 100 rainfall (min) Cumulative rainfall (cm) 0 0.5 1.2 2.6 3.3 3.5
Numerical answer locked.
Correct Answer & Step-by-Step Solution Locked

Sign in free to reveal the correct answer and AI explanation for this question.

Q57 nat
A well penetrates an unconfined aquifer. The water level (i.e., head) in the well prior to pumping is 25 m. After a long period of pumping at a constant rate of 0.05 m 3 /s, the drawdowns at distances of 50 m and 150 m from the well are observed to be 3 m and 1.2 m, respectively. The hydraulic conductivity of the unconfined aquifer is ______ $\times$ 10 -4 m/s (rounded off to two decimal places). Consider π = 3.14.
Numerical answer locked.
Correct Answer & Step-by-Step Solution Locked

Sign in free to reveal the correct answer and AI explanation for this question.

Q58 nat
A sewage treatment plant employing activated sludge process is operated under the following conditions: Wastewater flow rate into the aeration tank = 0.150 m 3 /s Soluble BOD 5 in the influent = 84 mg/L Soluble BOD 5 in the effluent = 11 mg/L Mean cell residence time = 5 days Total yield co-efficient = 0.5 kg of MLVSS/kg BOD 5 removed Decay rate of microorganism = 0.050/day The net waste activated sludge produced in the plant is ______ kg of VSS/day (rounded off to two decimal places).
Numerical answer locked.
Correct Answer & Step-by-Step Solution Locked

Sign in free to reveal the correct answer and AI explanation for this question.

Q59 nat
A continuous flow stirred tank reactor (CSTR) operates under a steady-state condition with a flow rate of 300 L per hour. The influent concentration of a substrate entering the reactor is 150 mg/L. To give a treatment efficiency of 76% for the substrate that decays according to half- order kinetics with a rate constant of 0.05 (mg/L) 1/2 per hour, the required volume of the reactor is ______ m 3 (answer in integer).
Numerical answer locked.
Correct Answer & Step-by-Step Solution Locked

Sign in free to reveal the correct answer and AI explanation for this question.

Q60 nat
In a stack emission measurement at an industry, the stack cross-sectional area at 30 m height was divided into four equal sectors. The measured velocities and SO 2 concentrations through these sectors at this height are given in the table. The mean SO 2 concentration from the stack is ______ mg/m 3 (rounded off to two decimal places).
Sector Velocity 2 Concentration
Number (m/s) (mg/m
1 15 1000
2 17 1150
3 19 1250
4 21 1275
Numerical answer locked.
Correct Answer & Step-by-Step Solution Locked

Sign in free to reveal the correct answer and AI explanation for this question.

Q61 nat
An anaerobic digestion system is operated for methane gas generation from organic fraction of municipal solid waste (OFMSW). The moisture content and volatile solids (VS) content of OFMSW are 20% and 90%, respectively. The biodegradable volatile solids (BVS) in the VS is 70%, and the BVS conversion efficiency to methane gas is 85%. If the methane gas generation in the system is 12 m 3 per kg of BVS converted, the total volume of gas produced from one kilogram of OFMSW is _______ m 3 (rounded off to two decimal places).
Numerical answer locked.
Correct Answer & Step-by-Step Solution Locked

Sign in free to reveal the correct answer and AI explanation for this question.

Q62 nat
The characteristics of two types of solid waste are given in the table. The quantity of sludge to be added to leaves to achieve a C/N ratio of 25 (on dry basis) for the mixed waste is ______ kg of sludge/kg of leaves (rounded off to three decimal places). Characteristics of the solid waste (weight/weight) Type of solid waste
Numerical answer locked.
Correct Answer & Step-by-Step Solution Locked

Sign in free to reveal the correct answer and AI explanation for this question.

Q63 nat
Moisture Nitrogen Carbon to Nitrogen content (%) content (%) (C/N) ratio Leaves 50 0.7 50 Sludge 75 5.6 6.3 The concentration of chemical A in ambient air is 50 $g/m$ 3 and the toxicological index limit for a threshold health effect for this chemical is 5 mg. If the average breathing rate is 4 L/min, the minimum time of exposure that can lead to any health effect is ______ days (rounded off to one decimal place).
Numerical answer locked.
Correct Answer & Step-by-Step Solution Locked

Sign in free to reveal the correct answer and AI explanation for this question.

Q64 nat
The area in the first quadrant bounded by the function $y$ = (8 - $x)$ and the coordinate axes is ______ square units (answer in integer).
Numerical answer locked.
Correct Answer & Step-by-Step Solution Locked

Sign in free to reveal the correct answer and AI explanation for this question.

Q65 nat
An agricultural land can support energy crops yield to produce 7000 L of bioethanol per hectare and energy content of bioethanol is 21 MJ/L. This bioethanol displaces fossil-based petrol. The CO 2 offset potential of land used for growing energy crops as a bioethanol feedstock is ______ $\times$ 10 6 g of CO 2 /hectare (rounded off to one decimal place). Consider CO 2 footprints of 10 g and 80 g of CO 2 per MJ for bioethanol and petrol, respectively.
Numerical answer locked.
Correct Answer & Step-by-Step Solution Locked

Sign in free to reveal the correct answer and AI explanation for this question.