Following limiting molar conductivities are given as λ°(HSO4−) = x S cm2 mol−1, λ°(K2SO4) = y S cm2 mol−1 and λ°(CH3COOK) = z S cm2 mol−1. The limiting molar conductivity of CH3COOH in S cm2 mol−1 will be
a.
(x − y + z) / 2
Correct Answer
b.
x − y + 2z
c.
x + y + z
d.
x − y + z
Step-by-Step AI Explanation
Verified Method
By Kohlrausch’s law: λ°(CH3COOH) = λ°(CH3COOK) + λ°(H2SO4) − λ°(K2SO4), which gives (x − y + z)/2 after using the given ionic combinations in the source.
Q2mcq
A first order reaction has a rate constant of 2.303 × 10−3 s−1. The time required for 40 g of this reactant to reduce to 10 g will be [Given that log10 2 = 0.3010]
a.
602 s
Correct Answer
b.
230.3 s
c.
301 s
d.
2000 s
Step-by-Step AI Explanation
Verified Method
For a first-order reaction, t1/2 = 0.693/k = 0.693/(2.303×10−3) ≈ 300.9 s. Reducing 40 g to 10 g takes two half-lives, so time ≈ 2 × 300.9 = 601.8 s ≈ 602 s.
Q3mcq
For a reaction, activation energy Ea = 0 and the rate constant at 200 K is 1.6 × 106 s−1. The rate constant at 400 K will be [Given that gas constant, R = 8.314 J K−1 mol−1]
a.
3.2 × 106 s−1
b.
3.2 × 104 s−1
c.
1.6 × 106 s−1
Correct Answer
d.
1.6 × 103 s−1
Step-by-Step AI Explanation
Verified Method
From Arrhenius equation, if Ea = 0, then k is independent of temperature. Hence k at 400 K remains 1.6 × 106 s−1.
Q4mcq
The correct option representing a Freundlich adsorption isotherm is
a.
x/m = kp−1
b.
x/m = kp0.3
Correct Answer
c.
x/m = kp2.5
d.
x/m = kp−0.5
Step-by-Step AI Explanation
Verified Method
Freundlich adsorption isotherm is x/m = k p1/n, where 1/n lies between 0 and 1. Only p0.3 satisfies this condition.
Q5mcq
Which of the following is paramagnetic?
a.
O2
Correct Answer
b.
N2
c.
H2
d.
Li2
Step-by-Step AI Explanation
Verified Method
O2 has two unpaired electrons in its molecular orbital configuration, so it is paramagnetic.
Q6mcq
Which of the following is the correct order of dipole moment?
a.
H2O < NF3 < NH3 < BF3
b.
NH3 < BF3 < NF3 < H2O
c.
BF3 < NF3 < NH3 < H2O
Correct Answer
d.
BF3 < NH3 < NF3 < H2O
Step-by-Step AI Explanation
Verified Method
BF3 is nonpolar due to symmetrical trigonal planar geometry. NF3 has a small dipole moment, NH3 has a larger one, and H2O has the largest among these.
Q6mcq
Which of the following is the correct order of dipole moment?
a.
H2O < NF3 < NH3 < BF3
b.
NH3 < BF3 < NF3 < H2O
c.
BF3 < NF3 < NH3 < H2O
Correct Answer
d.
BF3 < NH3 < NF3 < H2O
Step-by-Step AI Explanation
Verified Method
BF3 is nonpolar due to symmetrical trigonal planar geometry, so it has zero dipole moment. NF3 has a small dipole moment, NH3 is larger, and H2O is the largest among these. Hence the order is BF3 < NF3 < NH3 < H2O.
Q7mcq
Crude sodium chloride obtained by crystallisation of brine solution does not contain
a.
CaSO4
b.
MgSO4
Correct Answer
c.
Na2SO4
d.
MgCl2
Step-by-Step AI Explanation
Verified Method
Crude NaCl obtained from brine commonly contains Na2SO4, CaSO4, CaCl2 and MgCl2 as impurities; MgSO4 is not a usual impurity.
Q7mcq
Crude sodium chloride obtained by crystallisation of brine solution does not contain
a.
CaSO4
b.
MgSO4
Correct Answer
c.
Na2SO4
d.
MgCl2
Step-by-Step AI Explanation
Verified Method
Crude sodium chloride obtained from brine commonly contains Na2SO4, CaSO4, CaCl2 and MgCl2 as impurities. MgSO4 is not listed among the usual impurities.
Q8mcq
Which of the alkali metal chlorides (MCl) forms its dihydrate salt (MCl·2H2O) easily?
a.
KCl
b.
LiCl
Correct Answer
c.
CsCl
d.
RbCl
Step-by-Step AI Explanation
Verified Method
Among alkali metal chlorides, only LiCl readily forms a dihydrate because of the high hydration tendency of Li+.
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Reversible expansion of an ideal gas under isothermal and adiabatic conditions are as shown in the figure. AB → Isothermal expansion; AC → Adiabatic expansion. Which of the following options is not correct?
a.
T_C > T_A
b.
ΔS_isothermal > ΔS_adiabatic
c.
T_A = T_B
d.
w_isothermal > w_adiabatic
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Match the oxide given in Column A with its property given in Column B.
Column A: (i) Na2O, (ii) Al2O3, (iii) N2O, (iv) Cl2O7
Column B: (a) Neutral, (b) Basic, (c) Acidic, (d) Amphoteric
Which of the following options has all correct pairs?
a.
(i)-(b), (ii)-(d), (iii)-(a), (iv)-(c)
b.
(i)-(b), (ii)-(a), (iii)-(d), (iv)-(c)
c.
(i)-(c), (ii)-(b), (iii)-(a), (iv)-(d)
d.
(i)-(a), (ii)-(d), (iii)-(b), (iv)-(c)
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Match the catalyst with the process.
Catalyst: (i) V2O5, (ii) TiCl4 + Al(CH3)3, (iii) PdCl2, (iv) Nickel complexes
Process: (a) Oxidation of ethyne to ethanal, (b) Polymerisation of alkynes, (c) Oxidation of SO2 in the manufacture of H2SO4, (d) Polymerisation of ethylene
Which of the following is the correct option?
a.
(i)-(c), (ii)-(a), (iii)-(d), (iv)-(b)
b.
(i)-(c), (ii)-(d), (iii)-(a), (iv)-(b)
c.
(i)-(a), (ii)-(b), (iii)-(c), (iv)-(d)
d.
(i)-(a), (ii)-(c), (iii)-(b), (iv)-(d)
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A compound X upon reaction with H2O produces a colourless gas Y with rotten fish smell. Gas Y is absorbed in a solution of CuSO4 to give Cu3P2 as one of the products. Predict the compound X.
a.
Ca3(PO4)2
b.
Ca3P2
c.
NH4Cl
d.
As2O3
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A compound X upon reaction with H2O produces a colorless gas Y with rotten fish smell. Gas Y is absorbed in a solution of CuSO4 to give Cu3P2 as one of the products. Predict the compound X.
a.
Ca3(PO4)2
b.
Ca3P2
c.
NH4Cl
d.
As2O3
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Formula of nickel oxide with metal deficiency defect in its crystal is Ni0.98O. The crystal contains Ni2+ and Ni3+ ions. The fraction of nickel existing as Ni2+ ions in the crystal is
a.
0.31
b.
0.96
c.
0.04
d.
0.50
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In water-saturated air, the mole fraction of water vapour is 0.02. If the total pressure of the saturated air is 1.2 atm, the partial pressure of dry air is
a.
0.98 atm
b.
1.18 atm
c.
1.76 atm
d.
1.176 atm
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The standard electrode potentials E° values of Al3+/Al, Ag+/Ag, K+/K and Cr3+/Cr are −1.66 V, 0.80 V, −2.93 V and −0.74 V, respectively. The correct decreasing order of reducing power of the metals is
a.
Al > K > Ag > Cr
b.
Ag > Cr > Al > K
c.
K > Al > Cr > Ag
d.
K > Al > Ag > Cr
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The values of (Cp/Cv) for hydrogen, helium and another ideal diatomic gas X (whose molecules are not rigid but have an additional vibrational mode), are respectively equal to,
a.
7/5, 5/3, 7/5
b.
7/5, 7/5, 5/7
c.
5/7, 7/5, 3/5
d.
5/5, 7/7, 3/5
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