Q.1: For the reaction rate = k[A]2[B], the overall order is:
- (a) 1
- (b) 2
- (c) 3
- (d) 0
Show Answer ⯆
Answer: (c)
Explanation:
Sum of powers = 2 + 1 = 3, so overall order is 3.
Q.2: Unit of the rate constant k for a first-order reaction is:
- (a) mol L−1 s−1
- (b) s−1
- (c) L mol−1 s−1
- (d) mol2 L−2 s−1
Show Answer ⯆
Answer: (b)
Explanation:
First order has k with dimension of time−1.
Q.3: Half-life (t1/2) of a first-order reaction depends on:
- (a) Initial concentration only
- (b) Rate constant only
- (c) Both initial concentration and rate constant
- (d) Temperature only
Show Answer ⯆
Answer: (b)
Explanation:
For first order, t1/2 = 0.693/k, independent of initial concentration.
Q.4: For a zero-order reaction, the plot of concentration [A] vs time (t) is:
- (a) Straight line with negative slope
- (b) Straight line with positive slope
- (c) Exponential curve
- (d) Parabolic curve
Show Answer ⯆
Answer: (a)
Explanation:
[A] = [A]0 − kt gives a straight line decreasing with t.
Q.5: The slope of ln [A] vs time for a first-order reaction equals:
- (a) k
- (b) −k
- (c) k/2.303
- (d) −k/2.303
Show Answer ⯆
Answer: (b)
Explanation:
ln[A] = ln[A]0 − kt ⇒ slope = −k.
Q.6: In the Arrhenius equation k = A e−Ea/(RT), A represents:
- (a) Activation energy
- (b) Frequency factor
- (c) Rate constant at 0 K
- (d) Collision energy
Show Answer ⯆
Answer: (b)
Explanation:
A is the pre-exponential/frequency factor related to collision frequency and orientation.
Q.7: If the rate doubles when temperature increases by 10 °C, the temperature coefficient (Q10) is:
- (a) 0.5
- (b) 1
- (c) 2
- (d) 10
Show Answer ⯆
Answer: (c)
Explanation:
Q10 = Rate at (T+10)/Rate at T ≈ 2 for many reactions.
Q.8: The unit of k for a second-order reaction (with rate = k[A]2) is:
- (a) s−1
- (b) L mol−1 s−1
- (c) mol L−1 s−1
- (d) L2 mol−2 s−1
Show Answer ⯆
Answer: (b)
Explanation:
For second order, k has unit (concentration)−1 time−1 = L mol−1 s−1.
Q.9: Pseudo-first order kinetics is observed when:
- (a) All reactants are in equal concentrations
- (b) One reactant is in large excess and treated as constant
- (c) Catalyst is absent
- (d) Reaction is zero-order
Show Answer ⯆
Answer: (b)
Explanation:
Excess of one reactant makes its concentration effectively constant, reducing the rate law to first order.
Q.10: Molecularity of a reaction step is defined for:
- (a) Overall reaction only
- (b) Elementary reaction only
- (c) Complex reaction only
- (d) Any integrated reaction
Show Answer ⯆
Answer: (b)
Explanation:
Molecularity refers to the number of species colliding in a single elementary step.
Q.11: For a first-order reaction, the time required to complete 75% of the reaction is:
- (a) t1/2
- (b) 2 t1/2
- (c) 3 t1/2
- (d) t1/2/2
Show Answer ⯆
Answer: (b)
Explanation:
75% complete ⇒ 25% left = (1/4). For first order, time to reduce to 1/4 is 2 half-lives.
Q.12: In a plot of ln k vs 1/T, the slope equals:
- (a) Ea/R
- (b) −Ea/R
- (c) −R/Ea
- (d) 1/Ea
Show Answer ⯆
Answer: (b)
Explanation:
Arrhenius form ln k = ln A − (Ea/R)(1/T) ⇒ slope = −Ea/R.
Q.13: The average rate between t = 0 and t = 10 s is defined as:
- (a) −d[A]/dt at t = 0
- (b) Δ[A]/Δt over the interval
- (c) k[A] at t = 10 s
- (d) Instantaneous rate at t = 5 s
Show Answer ⯆
Answer: (b)
Explanation:
Average rate uses finite change: Δ[A]/Δt (with sign as per definition).
Q.14: A catalyst increases the reaction rate by:
- (a) Increasing Ea
- (b) Decreasing Ea
- (c) Increasing ΔG of reaction
- (d) Increasing equilibrium constant
Show Answer ⯆
Answer: (b)
Explanation:
Catalysts provide an alternative pathway with lower activation energy; Keq is unchanged.
Q.15: For the reaction A → Products (first order), 80% completes in t seconds. The fraction remaining after time t is:
- (a) 0.8
- (b) 0.2
- (c) 0.5
- (d) 0.1
Show Answer ⯆
Answer: (b)
Explanation:
80% reacted ⇒ 20% left ⇒ fraction remaining = 0.2.
Q.1: The rate constant of a reaction depends on
(a) temperature
(b) pressure
(c) concentration
(d) volume
Explanation: The rate constant of a reaction varies with temperature and is described by the Arrhenius equation.
Q.2: For a first-order reaction, the half-life period is
(a) directly proportional to the initial concentration
(b) inversely proportional to the initial concentration
(c) independent of the initial concentration
(d) directly proportional to the square of the initial concentration
Explanation: The half-life of a first-order reaction is a constant and does not depend on the initial concentration of the reactants.
Q.3: The activation energy of a reaction can be determined by
(a) Vant Hoff equation
(b) Arrhenius equation
(c) Kirchhoff’s equation
(d) Gibbs-Helmholtz equation
Explanation: The activation energy can be determined using the Arrhenius equation which relates the rate constant to temperature.
Q.4: In a zero-order reaction, the rate of reaction is
(a) proportional to the concentration of reactants
(b) inversely proportional to the concentration of reactants
(c) independent of the concentration of reactants
(d) proportional to the square of the concentration of reactants
Explanation: In a zero-order reaction, the rate is constant and does not depend on the concentration of reactants.
Q.5: The unit of rate constant for a second-order reaction is
(a) s⁻¹
(b) L mol⁻¹ s⁻¹
(c) mol L⁻¹ s⁻¹
(d) L² mol⁻² s⁻¹
Explanation: For a second-order reaction, the unit of the rate constant (k) is L mol⁻¹ s⁻¹.
Q.6: For a reaction with the following mechanism:
Step 1: A + B → C (slow)
Step 2: C + D → E (fast)
The rate-determining step is
(a) Step 1
(b) Step 2
(c) Both steps
(d) Neither step
Explanation: The rate-determining step is the slowest step in the reaction mechanism, which limits the overall reaction rate.
Q.7: If the concentration of reactants is increased, the rate of reaction
(a) increases
(b) decreases
(c) remains the same
(d) may increase or decrease
Explanation: Generally, an increase in the concentration of reactants leads to an increase in the rate of reaction due to more frequent collisions.
Q.8: The Arrhenius equation is given by k = Ae^(-Ea/RT). In this equation, Ea stands for
(a) rate constant
(b) frequency factor
(c) activation energy
(d) gas constant
Explanation: Ea represents the activation energy in the Arrhenius equation.
Q.9: The half-life of a reaction is 50 minutes at a certain initial concentration. If the reaction follows first-order kinetics, what will be the half-life if the initial concentration is doubled?
(a) 25 minutes
(b) 50 minutes
(c) 100 minutes
(d) 200 minutes
Explanation: For a first-order reaction, the half-life is independent of the initial concentration.
Q.10: For a reaction, the rate constant doubles when the temperature is increased from 300 K to 310 K. The activation energy of the reaction is approximately
(a) 48.3 kJ/mol
(b) 53.6 kJ/mol
(c) 41.5 kJ/mol
(d) 58.0 kJ/mol
Explanation: Using the Arrhenius equation and the given temperature change, the activation energy can be calculated to be approximately 48.3 kJ/mol.
Q.11: Which of the following statements is true for a zero-order reaction?
(a) The rate is proportional to the concentration of reactants.
(b) The rate is independent of the concentration of reactants.
(c) The rate decreases with time.
(d) The rate increases with time.
Explanation: For a zero-order reaction, the rate is constant and does not depend on the concentration of reactants.
Q.12: The rate law for a reaction is given by rate = k[A]²[B]. If the concentration of A is doubled and the concentration of B is halved, the rate of the reaction will
(a) remain the same
(b) be halved
(c) be doubled
(d) be quadrupled
Explanation: According to the rate law, if [A] is doubled, the rate increases by a factor of 4 (since it is squared), and if [B] is halved, the rate decreases by a factor of 2. The net effect is an increase by a factor of 4/2 = 2.
Q.13: The units of the rate constant for a first-order reaction are
(a) mol L⁻¹ s⁻¹
(b) L mol⁻¹ s⁻¹
(c) s⁻¹
(d) no units
Explanation: For a first-order reaction, the rate constant has units of inverse time (s⁻¹).
Q.14: A reaction has a rate constant of 2.0 x 10⁻³ s⁻¹ at 25°C and an activation energy of 50 kJ/mol. What will be the rate constant at 35°C?
(a) 4.0 x 10⁻³ s⁻¹
(b) 2.4 x 10⁻³ s⁻¹
(c) 3.4 x 10⁻³ s⁻¹
(d) 1.0 x 10⁻³ s⁻¹
Explanation: Using the Arrhenius equation, the rate constant at the higher temperature can be calculated.
Q.15: The rate of a reaction is given by rate = k[A][B]². If the concentration of B is doubled, the rate of the reaction will increase by a factor of
(a) 2
(b) 4
(c) 8
(d) 16
Explanation: The rate law shows that the rate is proportional to the square of [B]. Doubling [B] increases the rate by a factor of 4.
Q.16: Which of the following statements is correct for a first-order reaction?
(a) The rate of reaction is proportional to the concentration of reactant.
(b) The rate of reaction is proportional to the square of the concentration of reactant.
(c) The rate of reaction is independent of the concentration of reactant.
(d) The rate of reaction is inversely proportional to the concentration of reactant.
Explanation: For a first-order reaction, the rate is directly proportional to the concentration of the reactant.
Q.17: The half-life of a zero-order reaction is directly proportional to
(a) initial concentration of the reactant
(b) square of initial concentration of the reactant
(c) reciprocal of initial concentration of the reactant
(d) independent of initial concentration of the reactant
Explanation: For a zero-order reaction, the half-life is directly proportional to the initial concentration of the reactant.
Q.18: For the reaction A → B, the rate law is rate = k[A]⁰. This implies
(a) the reaction is first-order with respect to A
(b) the reaction is second-order with respect to A
(c) the reaction is zero-order with respect to A
(d) the rate of the reaction is independent of the concentration of A
Explanation: A zero-order reaction means that the rate is independent of the concentration of the reactant.
Q.19: The activation energy for a chemical reaction can be lowered by
(a) increasing the temperature
(b) increasing the concentration of reactants
(c) adding a catalyst
(d) changing the pressure
Explanation: A catalyst provides an alternative pathway with lower activation energy for the reaction.
Q.20: For the reaction 2A + B → products, the following data were obtained:
[A] (M) [B] (M) Initial rate (M/s)
0.1 0.1 2.0 x 10⁻³
0.2 0.1 4.0 x 10⁻³
0.1 0.2 4.0 x 10⁻³
The rate law for the reaction is
(a) rate = k[A]²[B]
(b) rate = k[A][B]
(c) rate = k[A][B]²
(d) rate = k[A]²[B]²
Explanation: Doubling [A] doubles the rate, and doubling [B] also doubles the rate, indicating first-order dependence on both [A] and [B].
Q.21: The pre-exponential factor (A) in the Arrhenius equation is
(a) related to the frequency of collisions
(b) the same for all reactions
(c) dependent on temperature
(d) dependent on the activation energy
Explanation: The pre-exponential factor (A) is related to the frequency of collisions and the orientation of reacting molecules.
Q.22: The rate of reaction is given by rate = k[A][B]. If the concentration of both A and B is doubled, the rate of the reaction will
(a) remain the same
(b) be doubled
(c) be quadrupled
(d) be halved
Explanation: Doubling both [A] and [B] will increase the rate by a factor of 4 (2 x 2).
Q.23: For the reaction A + 2B → C, the following data were obtained:
[A] (M) [B] (M) Initial rate (M/s)
0.1 0.2 0.02
0.2 0.2 0.04
0.1 0.4 0.08
The rate law for the reaction is
(a) rate = k[A][B]²
(b) rate = k[A]²[B]
(c) rate = k[A][B]
(d) rate = k[A][B]³
Explanation: The rate doubles when [A] is doubled and quadruples when [B] is doubled, indicating first-order dependence on [A] and second-order dependence on [B].
Q.24: Which of the following is a characteristic of a zero-order reaction?
(a) The rate of reaction is proportional to the concentration of reactants.
(b) The rate of reaction is independent of the concentration of reactants.
(c) The rate of reaction decreases as the concentration of reactants decreases.
(d) The rate of reaction increases as the concentration of reactants increases.
Explanation: In a zero-order reaction, the rate remains constant regardless of changes in the concentration of reactants.
Q.25: The rate constant for a first-order reaction is 0.693 min⁻¹. The time required to reduce the concentration of the reactant to half of its initial value is
(a) 1 min
(b) 10 min
(c) 0.693 min
(d) 2 min
Explanation: For a first-order reaction, the half-life (t₁/₂) is given by 0.693/k. Here, t₁/₂ = 0.693/0.693 = 1 min.
Q.26: For the reaction 2A → B, the rate law is rate = k[A]². If the concentration of A is tripled, the rate of the reaction will
(a) remain the same
(b) be tripled
(c) be nine times
(d) be six times
Explanation: According to the rate law, if [A] is tripled, the rate increases by a factor of 3² = 9.
Q.27: For the reaction A → B, the rate law is rate = k[A]². The unit of rate constant k is
(a) s⁻¹
(b) L mol⁻¹ s⁻¹
(c) L² mol⁻² s⁻¹
(d) mol L⁻¹ s⁻¹
Explanation: For a second-order reaction, the unit of the rate constant (k) is L mol⁻¹ s⁻¹.
Q.28: For a reaction, the rate constant (k) is 2.5 x 10⁻² s⁻¹. What is the order of the reaction?
(a) zero
(b) first
(c) second
(d) third
Explanation: The unit of the rate constant (s⁻¹) indicates that the reaction is first-order.
Q.29: Which of the following is the rate-determining step in a multi-step reaction?
(a) The fastest step
(b) The slowest step
(c) The step with the highest energy barrier
(d) The step with the lowest energy barrier
Explanation: The rate-determining step is the slowest step in a multi-step reaction, as it limits the overall rate of the reaction.
Q.30: For a first-order reaction, the plot of ln[A] vs. time is
(a) a straight line with a positive slope
(b) a straight line with a negative slope
(c) a curve
(d) a horizontal line
Explanation: For a first-order reaction, a plot of ln[A] vs. time gives a straight line with a slope of -k.
Q.31: The rate of a reaction increases with temperature because
(a) the activation energy increases
(b) the number of effective collisions increases
(c) the frequency factor decreases
(d) the rate constant decreases
Explanation: Increasing the temperature increases the kinetic energy of molecules, leading to more effective collisions and a higher reaction rate.
Q.32: For a reaction, the rate law is given by rate = k[A][B]. What is the overall order of the reaction?
(a) zero
(b) first
(c) second
(d) third
Explanation: The overall order is the sum of the exponents in the rate law, which is 1 + 1 = 2.
Q.33: For a reaction A + B → C, the rate law is rate = k[A][B]. If the concentration of A is doubled and the concentration of B is kept constant, the rate of the reaction will
(a) remain the same
(b) be doubled
(c) be quadrupled
(d) be halved
Explanation: According to the rate law, doubling [A] while keeping [B] constant will double the rate.
Q.34: For the reaction 2A + B → C, the rate law is rate = k[A]²[B]. If the concentration of B is doubled, the rate of the reaction will
(a) remain the same
(b) be doubled
(c) be quadrupled
(d) be halved
Explanation: According to the rate law, doubling [B] will double the rate of the reaction.
Q.35: The rate constant of a reaction increases by a factor of 4 when the temperature is increased by 20°C. The activation energy of the reaction is
(a) 46.2 kJ/mol
(b) 58.0 kJ/mol
(c) 34.5 kJ/mol
(d) 41.5 kJ/mol
Explanation: Using the Arrhenius equation, the activation energy can be calculated as approximately 41.5 kJ/mol.
Q.36: The rate of a reaction is given by rate = k[A]²[B]. If the concentration of A is halved and the concentration of B is kept constant, the rate of the reaction will
(a) remain the same
(b) be halved
(c) be reduced to one-fourth
(d) be doubled
Explanation: According to the rate law, halving [A] will reduce the rate by a factor of (1/2)² = 1/4.
Q.37: The activation energy of a reaction is the energy required to
(a) break all the bonds in the reactants
(b) form the products
(c) form an activated complex
(d) form the reactants
Explanation: The activation energy is the energy required to form the activated complex or transition state during a reaction.
Q.38: The rate of a reaction is given by rate = k[A][B]. If the concentration of both A and B is increased by a factor of 2, the rate of the reaction will
(a) remain the same
(b) be doubled
(c) be quadrupled
(d) be halved
Explanation: Doubling both [A] and [B] will increase the rate by a factor of 4 (2 x 2).
Q.39: For a first-order reaction, the time taken for 99.9% completion is approximately
(a) 3.3 times the half-life
(b) 6.6 times the half-life
(c) 10 times the half-life
(d) 1.1 times the half-life
Explanation: For a first-order reaction, the time taken for 99.9% completion is approximately 10 times the half-life.
Q.40: The temperature coefficient of a reaction is defined as
(a) the ratio of rate constants at two different temperatures
(b) the ratio of activation energies at two different temperatures
(c) the ratio of the rate of reaction at two different temperatures
(d) the ratio of the rate of reaction to the activation energy
Explanation: The temperature coefficient is the ratio of the rate of reaction at two temperatures differing by 10°C.
Q.41: For the reaction A + B → C, the rate law is rate = k[A]²[B]. If the concentration of A is doubled and the concentration of B is also doubled, the rate of the reaction will
(a) remain the same
(b) be doubled
(c) be quadrupled
(d) be increased eight times
Explanation: According to the rate law, doubling both [A] and [B] will increase the rate by a factor of 2² x 2 = 8.
Q.42: Which of the following factors does not affect the rate of a reaction?
(a) Temperature
(b) Pressure
(c) Catalyst
(d) Color of the reactants
Explanation: The color of the reactants does not influence the rate of a reaction.
Q.43: For a reaction, the rate law is given by rate = k[A]²[B]. If the concentration of A is tripled and the concentration of B is kept constant, the rate of the reaction will
(a) remain the same
(b) be tripled
(c) be nine times
(d) be six times
Explanation: According to the rate law, tripling [A] will increase the rate by a factor of 3² = 9.
Q.44: The activation energy of a reaction is 50 kJ/mol and the rate constant at 300 K is 2 x 10⁻³ s⁻¹. What will be the rate constant at 320 K?
(a) 4 x 10⁻³ s⁻¹
(b) 6 x 10⁻³ s⁻¹
(c) 8 x 10⁻³ s⁻¹
(d) 10 x 10⁻³ s⁻¹
Explanation: Using the Arrhenius equation, the rate constant approximately doubles for every 10°C increase in temperature.
Q.45: For a reaction, the rate law is rate = k[A][B]. If the concentration of B is halved and the concentration of A is kept constant, the rate of the reaction will
(a) remain the same
(b) be halved
(c) be doubled
(d) be quadrupled
Explanation: According to the rate law, halving [B] will halve the rate of the reaction.
Q.46: The Arrhenius equation is given by k = Ae^(-Ea/RT). What does Ea represent in this equation?
(a) Activation energy
(b) Frequency factor
(c) Rate constant
(d) Temperature
Explanation: Ea represents the activation energy in the Arrhenius equation.
Q.47: For a reaction 2A → B, the rate law is rate = k[A]². If the concentration of A is doubled, the rate of the reaction will
(a) remain the same
(b) be doubled
(c) be quadrupled
(d) be halved
Explanation: According to the rate law, doubling [A] will increase the rate by a factor of 2² = 4.
Q.48: The unit of the rate constant for a first-order reaction is
(a) s⁻¹
(b) L mol⁻¹ s⁻¹
(c) L² mol⁻² s⁻¹
(d) mol L⁻¹ s⁻¹
Explanation: For a first-order reaction, the unit of the rate constant (k) is s⁻¹.
Q.49: The rate constant for a second-order reaction is 0.2 L mol⁻¹ s⁻¹. What is the rate of reaction when the concentration of the reactant is 0.5 M?
(a) 0.05 M/s
(b) 0.1 M/s
(c) 0.2 M/s
(d) 0.4 M/s
Explanation: For a second-order reaction, rate = k[A]² = 0.2 x (0.5)² = 0.2 x 0.25 = 0.05 M/s.
Q.50: For a reaction, the rate law is given by rate = k[A]²[B]. If the concentration of A is doubled and the concentration of B is halved, the rate of the reaction will
(a) remain the same
(b) be doubled
(c) be halved
(d) be quadrupled
Explanation: Doubling [A] increases the rate by a factor of 4, and halving [B] decreases the rate by a factor of 2. Thus, the overall rate is doubled.
Q.51: The activation energy of a reaction is 60 kJ/mol. The rate constant at 300 K is 1.5 x 10⁻³ s⁻¹. What will be the rate constant at 320 K?
(a) 3.0 x 10⁻³ s⁻¹
(b) 6.0 x 10⁻³ s⁻¹
(c) 1.2 x 10⁻³ s⁻¹
(d) 2.0 x 10⁻³ s⁻¹
Explanation: Using the Arrhenius equation, the rate constant approximately doubles for every 10°C increase in temperature.
Q.52: The rate constant for a zero-order reaction is 0.1 mol L⁻¹ s⁻¹. What is the half-life of the reaction when the initial concentration of the reactant is 1 M?
(a) 5 s
(b) 10 s
(c) 15 s
(d) 20 s
Explanation: For a zero-order reaction, t₁/₂ = [A]₀ / (2k). Here, t₁/₂ = 1 / (2 x 0.1) = 5 s.
Q.53: For a reaction, the rate law is rate = k[A][B]². What is the order of the reaction with respect to B?
(a) zero
(b) first
(c) second
(d) third
Explanation: The order with respect to B is 2, as indicated by the exponent in the rate law.
Q.54: For a reaction 2A → B, the rate law is rate = k[A]². If the concentration of A is increased by a factor of 4, the rate of the reaction will
(a) remain the same
(b) be doubled
(c) be quadrupled
(d) be increased sixteen times
Explanation: According to the rate law, increasing [A] by a factor of 4 will increase the rate by a factor of 4² = 16.