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NEET Chemistry: Chemical Kinetics questions with solutions

102 questions with worked solutions.

Questions

Q1. Why is catalyst added while preparing oxygen from decomposition of \( K C l O_{3} ? \)

  1. to increase the rate of reaction
  2. \( K C l O_{3} \) decomposes at lower temperature
  3. catalyst undergoes no change chemically or in mass
  4. all of the above

Answer: to increase the rate of reaction

In the decomposition of potassium chlorate, a catalyst is added to speed up the reaction. It helps the oxygen be produced more quickly, but it is not the reason the substance changes chemically or the main point of the process.

Q2. In the Arrhenius equation \( k=A e^{E / R T} \) rate will be constant at:

  1. infinite \( T \) or zero \( E_{a} \)
  2. infinite \( E_{a} \) or zero \( T \)
  3. infinite \( E_{a} \) and zero \( T \)
  4. none of these

Answer: infinite \( T \) or zero \( E_{a} \)

In the Arrhenius form, the temperature dependence comes from the exponential term. If temperature becomes extremely large, or if the activation energy is zero, the exponential factor becomes constant, so the rate constant no longer changes with temperature.

Q3. As the concentration of reactants increases:

  1. rate of the reaction decreases
  2. rate of the reaction increases
  3. rate of the reaction remains the same
  4. reaction stops

Answer: rate of the reaction increases

When reactant concentration increases, there are more reactant particles in the same volume, so collisions happen more often. More frequent effective collisions increase the reaction rate.

Q4. Assertion The rate of reaction can also increase w.r.t its product if one of the product act as catalyst. Reason A catalyst lowers the activation energy of reactions. Read the above assertion and reason and choose the correct option regarding ¡t.

  1. Both Assertion and Reason are true Reason is the correct explanation to Assertion
  2. Both Assertion and Reason are true but Reason is not the correct explanation to Assertion
  3. Assertion is true but Reason is false
  4. Both Assertion and Reason are false

Answer: Both Assertion and Reason are true but Reason is not the correct explanation to Assertion

The assertion is true because a product can act as a catalyst and increase the reaction rate. The reason is also true, but it only states the general effect of a catalyst; it does not specifically explain why a product acting as a catalyst makes the rate increase with respect to the product.

Q5. Assertion Chlorine reacts more rapidly with \( \boldsymbol{H}_{2}, \) in comparision to \( \boldsymbol{O}_{\mathbf{2}} \) Reason \( D-C l \) bond is stronger in comparison to \( H-C l \) bond

  1. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
  2. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
  3. Assertion is correct but Reason is incorrect
  4. Both Assertion and Reason are incorrect

Answer: Assertion is correct but Reason is incorrect

Chlorine reacts faster with H2 than with O2 because the H–H bond is relatively easier to break than the very strong O=O bond, so the H2 reaction has a lower activation barrier. The reason is incorrect because the Cl–Cl bond is not stronger than the H–Cl bond; in fact, H–Cl is stronger.

Q6. In the Haber process for the industrial manufacturing of ammonia involving the reaction \( N_{2}(g)+3 H_{2}(g) \rightleftharpoons 2 N H_{3}(g) \) at 200atm pressure in the presence of a catalyst, a temperature of about \( 500^{\circ} \mathrm{C} \) is used. This is considered as optimum temperature for the process because:

  1. yield is maximum at this temperature
  2. catalyst is active only at this temperature
  3. energy needed for the reaction is easily obtained at this temperature
  4. rate of the catalytic reaction is fast enough while the yield is also appreciable for this exothermic reaction at this temperature

Answer: rate of the catalytic reaction is fast enough while the yield is also appreciable for this exothermic reaction at this temperature

The Haber process uses a temperature that balances two competing effects: lower temperatures favor ammonia formation at equilibrium, but they make the reaction too slow. Around 500°C, the catalyst gives a fast enough rate while the equilibrium yield remains acceptable.

Q7. A chemical reaction was carried out at \( 300 \mathrm{K} \) and \( 280 \mathrm{K} \). The rate constants were found to be \( K_{1} \) and \( K_{2} \) at \( 300 \mathrm{K} \) and \( 280 \mathrm{K} \) respectively. Then which of the following is true?

  1. \( K_{1}=4 K_{1} \)
  2. \( K_{2}=2 K_{1} \)
  3. \( K_{2}=0.25 K_{1} \)
  4. \( K_{2}=0.5 K_{1} \)

Answer: \( K_{2}=0.5 K_{1} \)

For most reactions, the rate constant increases with temperature according to the Arrhenius equation. Since 280 K is lower than 300 K, the rate constant at 280 K must be smaller than at 300 K, matching the given relation.

Q8. Assertion For the reaction \( R C l+N a O H(a q) \rightarrow \) ROH \( + \) Na \( C l \), the rate of reaction is reduced to half on reducing the concentration of RCl to half. Reason The rate of the reaction is represented by k[RCl], i.e., it is a first order reaction.

  1. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
  2. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
  3. Assertion is correct but Reason is incorrect
  4. Assertion is incorrect but Reason is correct

Answer: Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

If the rate is proportional to [RCl], then reducing [RCl] by half reduces the rate by half. That makes both statements true, and the reason directly explains the assertion.

Q9. Assertion The reaction of zinc with hydrochloric acid goes to completion in an open container. Reason Hydrogen gas is evolved from the reaction of zinc and hydrochloric acid.

  1. Statement 1 and Statement 2 are correct and Statement 2 is the correct explanation of Statement
  2. Both the Statement 1 and Statement 2 are correct and Statement 2 is not the correct explanation of Statement 1.
  3. statement 1 is correct but Statement 2 is not correct
  4. Statement 1 is not correct but Statement 2 is correct

Answer: Statement 1 and Statement 2 are correct and Statement 2 is the correct explanation of Statement

Zinc reacts with hydrochloric acid to form zinc chloride and hydrogen gas. In an open container, the hydrogen escapes, so the reaction is driven forward and effectively goes to completion. Thus both statements are true, and the gas evolution explains why the reaction proceeds to completion.

Q10. For the reaction: \( 2 H I \rightarrow H_{2}+I_{2} \). the expression \( \frac{-1}{2} \frac{d(H I)}{d t} \) represents:

  1. the rate of formation of \( H I \)
  2. the rate of disappearance of \( H I \)
  3. the instantaneous rate of the reaction
  4. the average rate of reaction

Answer: the rate of disappearance of \( H I \)

In a reaction rate expression, a negative sign is used for reactants because their concentration decreases with time. The factor of 1/2 comes from the stoichiometric coefficient in 2 HI → H2 + I2, so this term gives the rate at which HI disappears.

Q11. If the rate constant for a first order reaction is k, the time (t) required for the completion of 99% of the reaction is given by:

  1. t = 0.693/k
  2. t = 6.909/k
  3. t = 4.606/k
  4. t = 2.303/k

Answer: t = 6.909/k

For a first-order reaction, the time for 99% completion is derived using the integrated rate law and the natural logarithm of the remaining 1%.

Q12. The rate constant for a first order reaction is 4.606 × 10⁻³ s⁻¹. The time required to reduce 2.0 g of the reactant to 0.2 g is:

  1. 200 s
  2. 500 s
  3. 1000 s
  4. 100 s

Answer: 500 s

For a first-order reaction, the time can be calculated using the formula t = (2.303/k) * log10([R]₀/[R]). Substituting k = 4.606 × 10⁻³ s⁻¹, [R]₀ = 2.0 g, and [R] = 0.2 g, we get t = (2.303 / 4.606 × 10⁻³) * log10(2.0 / 0.2) = 500 s.

Q13. The rate of the reaction 2N₂O₅ → 4NO₂ + O₂ can be written in three ways : -d[N₂O₅]/dt = k [N₂O₅] d[NO₂]/dt = k' [N₂O₅] d[O₂]/dt = k'' [N₂O₅] The relationship between k and k' and k'' are :

  1. k' = 2k ; k'' = k
  2. k' = k ; k'' = k/2
  3. k' = 2k ; k'' = 2k
  4. k' = k ; k'' = k

Answer: k' = 2k ; k'' = k

The stoichiometric coefficients in the reaction dictate the relationship between the rate constants. For NO₂, the coefficient is 4, so k' = 2k. For O₂, the coefficient is 1, so k'' = k.

Q14. In reaction, A + B → Product, rate is doubled when the concentration of B is doubled, and rate increases by a factor of 8 when the concentrations of both the reactants (A and B) are doubled. Rate law for the reaction can be written as :

  1. Rate = k[A][B]²
  2. Rate = k[A]²[B]
  3. Rate = k[A][B]
  4. Rate = k[A]²[B]²

Answer: Rate = k[A]²[B]

When [B] is doubled, the rate doubles, indicating the reaction is first order with respect to B. When both [A] and [B] are doubled, the rate increases by a factor of 8, implying the reaction is second order with respect to A. Thus, the rate law is Rate = k[A]²[B].

Q15. The rate constant of the reaction A → B is 0.6 × 10⁻³ mol per sec. If the concentration of A is 5 M then concentration of B after 20 minutes is :

  1. 1.08 M
  2. 3.60 M
  3. 0.36 M
  4. 0.72 M

Answer: 0.72 M

The reaction follows first-order kinetics. Using the integrated rate law for first-order reactions, the concentration of B can be calculated as: [B] = [A]₀(1 - e^(-kt)). Substituting k = 0.6 × 10⁻³ s⁻¹, [A]₀ = 5 M, and t = 20 × 60 s, we get [B] ≈ 0.72 M.

Q16. The rate constants k₁ and k₂ for two different reactions are 10¹⁶ e⁻²⁰⁰⁰/T and 10¹⁵ e⁻¹⁰⁰⁰/T, respectively. The temperature at which k₁ = k₂ is:

  1. 1000 K
  2. 2000 K
  3. 2000 K / 2.303
  4. 1000 K / 2.303

Answer: 1000 K

Equating the two rate constants, k₁ = k₂, and solving for T using the Arrhenius equation, we find T = 1000 K. This involves equating the exponential terms and simplifying.

Q17. The temperature dependence of rate constant (k) of a chemical reaction is written in terms of Arrhenius equation, k = Ae⁻Ea/RT. Activation energy (Ea) of the reaction can be calculated by plotting:

  1. log k vs 1/log T
  2. k vs T
  3. k vs 1/log T
  4. log k vs 1/T

Answer: log k vs 1/T

The Arrhenius equation can be linearized as log k = -Ea/(2.303R)(1/T) + log A. A plot of log k vs 1/T gives a straight line with slope -Ea/(2.303R), allowing the calculation of Ea.

Q18. The activation energy for a simple chemical reaction A → B is Ea in forward direction. The activation energy for reverse reaction:

  1. Is always double of Ea
  2. Is negative of Ea
  3. Is always less than Ea
  4. Can be less than or more than Ea

Answer: Can be less than or more than Ea

The activation energy for the reverse reaction depends on the enthalpy change (ΔH) of the reaction. It can be less than or more than Ea depending on whether the reaction is exothermic or endothermic.

Q19. For the reaction [N₂O₅(g) → 2NO₂(g) + 1/2 O₂(g)] the value of rate of disappearance of N₂O₅ is given as 6.25 × 10⁻³ mol L⁻¹ s⁻¹. The rate of formation of NO₂ and O₂ is given respectively as :

  1. 6.25 × 10⁻³ mol L⁻¹ s⁻¹ and 6.25 × 10⁻³ mol L⁻¹ s⁻¹
  2. 1.25 × 10⁻² mol L⁻¹ s⁻¹ and 3.125 × 10⁻³ mol L⁻¹ s⁻¹
  3. 1.25 × 10⁻² mol L⁻¹ s⁻¹ and 6.25 × 10⁻³ mol L⁻¹ s⁻¹
  4. 6.25 × 10⁻³ mol L⁻¹ s⁻¹ and 3.125 × 10⁻³ mol L⁻¹ s⁻¹

Answer: 1.25 × 10⁻² mol L⁻¹ s⁻¹ and 3.125 × 10⁻³ mol L⁻¹ s⁻¹

The stoichiometry of the reaction shows that 1 mole of N₂O₅ produces 2 moles of NO₂ and 0.5 moles of O₂. Thus, the rate of formation of NO₂ is twice the rate of disappearance of N₂O₅, and the rate of formation of O₂ is half the rate of disappearance of N₂O₅. Therefore, the rates are 1.25 × 10⁻² mol L⁻¹ s⁻¹ for NO₂ and 3.125 × 10⁻³ mol L⁻¹ s⁻¹ for O₂.

Q20. Activation energy of a chemical reaction can be determined by:

  1. evaluating rate constant at standard temperature
  2. evaluating velocities of reaction at two different temperatures
  3. evaluating rate constants at two different temperatures
  4. changing concentration of reactants

Answer: evaluating rate constants at two different temperatures

Activation energy can be determined using the Arrhenius equation by evaluating the rate constants at two different temperatures and plotting or calculating accordingly.

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