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JEE Main MCQ questions — Mathematics, Physics, Chemistry for engineering entrance.

89 Q 3 Subjects 12th (PCM)
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Q.1 Hard JEE Chemistry Chemical Kinetics
A reaction has Eₐ = 60 kJ/mol. How many times faster will it be at 327°C compared to 27°C? (R = 8.314 J/mol·K, assume A constant)
A 100 times
B 256 times
C 500 times
D 1000 times
Correct Answer:  C. 500 times
EXPLANATION

Using ln(k₂/k₁) = (Eₐ/R)[(T₂-T₁)/(T₁T₂)]; ln(k₂/k₁) = (60000/8.314)[(300)/(600×300)] ≈ 6.2; k₂/k₁ ≈ 500

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Q.2 Hard JEE Chemistry Chemical Kinetics
For the reaction: (1) Cl₂ ⇌ 2Cl (fast), (2) Cl + H₂ → HCl + H (slow), (3) H + Cl₂ → HCl + Cl (fast). The overall reaction is:
A Cl₂ + H₂ → 2HCl
B 2Cl₂ + H₂ → 2HCl + Cl
C H₂ + Cl₂ → 2HCl
D Cl + H₂ → HCl + H
Correct Answer:  A. Cl₂ + H₂ → 2HCl
EXPLANATION

Adding all steps and canceling intermediates (Cl, H): Cl₂ + H₂ → 2HCl

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Q.3 Hard JEE Chemistry Chemical Kinetics
For a reaction with Eₐ = 50 kJ/mol and A = 2 × 10¹³ s⁻¹ (Arrhenius pre-exponential factor), calculate k at 300K (R = 8.314 J/mol·K)
A 2.3 × 10⁻² s⁻¹
B 1.8 × 10⁻¹ s⁻¹
C 3.4 × 10⁻³ s⁻¹
D 5.1 × 10⁻² s⁻¹
Correct Answer:  C. 3.4 × 10⁻³ s⁻¹
EXPLANATION

k = A·exp(-Eₐ/RT) = 2 × 10¹³ × exp(-50000/8.314×300) = 2 × 10¹³ × exp(-20.03) ≈ 3.4 × 10⁻³ s⁻¹

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Q.4 Hard JEE Chemistry Chemical Kinetics
In the complex reaction: A + B → I (fast equilibrium), I + B → C (slow), the rate law derived from this mechanism is:
A Rate = k[A][B]
B Rate = k[A][B]²
C Rate = k[I][B]
D Rate = k[A][B]²[I]⁻¹
Correct Answer:  B. Rate = k[A][B]²
EXPLANATION

Rate = k₂[I][B]. From equilibrium: [I] = K₁[A][B]. Therefore: Rate = k₂K₁[A][B]², which is second-order in B

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Q.5 Hard JEE Chemistry Chemical Kinetics
In the reaction mechanism: (1) A + B ⇌ AB (fast), (2) AB + C → ABC (slow), the order predicted from this mechanism is:
A First order overall
B Second order overall
C Third order overall
D Fourth order overall
Correct Answer:  C. Third order overall
EXPLANATION

Rate = k₂[AB][C]. From fast equilibrium: [AB] = K₁[A][B]. So Rate = k₂K₁[A][B][C], making it third-order overall

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Q.6 Hard JEE Chemistry Chemical Kinetics
The rate constant for a reaction at 298 K is 2 × 10⁻⁵ s⁻¹ with Ea = 80 kJ/mol. What is the frequency factor (A) if rate = Ae^(-Ea/RT)?
A 1.5 × 10⁻² s⁻¹
B 8.0 × 10⁸ s⁻¹
C 3.2 × 10¹¹ s⁻¹
D 5.6 × 10¹³ s⁻¹
Correct Answer:  D. 5.6 × 10¹³ s⁻¹
EXPLANATION

A = k/e^(-Ea/RT) = (2 × 10⁻⁵)/e^(-80000/2.478) ≈ 5.6 × 10¹³ s⁻¹

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Q.7 Hard JEE Chemistry Chemical Kinetics
For a pseudo-first-order reaction where [B]₀ >> [A]₀, the rate law simplifies to first-order even though the actual order is higher. This is because:
A [B] remains essentially constant throughout the reaction
B [A] is in large excess
C The reaction temperature is constant
D The rate constant becomes independent of [B]
Correct Answer:  A. [B] remains essentially constant throughout the reaction
EXPLANATION

When [B]₀ >> [A]₀, the concentration of B doesn't change significantly during the reaction, so it can be incorporated into the rate constant, making the reaction appear first-order in A only.

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Q.8 Hard JEE Chemistry Chemical Kinetics
In the Lindemann mechanism for unimolecular reactions, A* represents an activated molecule. The rate-determining step is:
A A + A ⇌ A* + A (fast equilibrium)
B A* → products (slow)
C A → A* (slow)
D A* + A → products (slow)
Correct Answer:  B. A* → products (slow)
EXPLANATION

In the Lindemann mechanism: Step 1 (fast equilibrium): A + A ⇌ A* + A, Step 2 (slow): A* → products. The slow step is rate-determining.

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Q.9 Hard JEE Chemistry Chemical Kinetics
For the consecutive reaction A → B → C, if the rate constants are k₁ = 0.1 s⁻¹ and k₂ = 0.05 s⁻¹, and k₁ > k₂, which statement is true?
A B is consumed faster than it is formed
B B accumulates and then decreases
C B is immediately consumed after formation
D No B is formed in the reaction
Correct Answer:  B. B accumulates and then decreases
EXPLANATION

Since k₁ > k₂, A converts to B faster than B converts to C, so B accumulates initially and then decreases as it slowly converts to C.

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Q.10 Hard JEE Chemistry Chemical Kinetics
In a reaction, the rate increases by a factor of 8 when [A] doubles and by a factor of 2 when [B] doubles. What is the overall order of the reaction?
A 2
B 3
C 4
D 5
Correct Answer:  C. 4
EXPLANATION

When [A] doubles, rate increases by 8 = 2³, so order w.r.t. A = 3. When [B] doubles, rate increases by 2 = 2¹, so order w.r.t. B = 1. Overall order = 3 + 1 = 4.

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