Zero and first order integrated rate laws

28 questions on Zero and first order integrated rate laws from the Chemical Kinetics chapter: 6 NEET level, 11 JEE Main, 11 JEE Advanced. Each one opens with its answer and solution.

• The unit of the rate constant of a first order reaction is NEET level
• A first order reaction has k = 0.0231 min^-1. Using ln 2 = 0.693, its half-life is NEET level
• For a zero order reaction A -> products, a plot of [A] against time t is a straight line whose slope is NEET level
• A zero order reaction has k = 0.02 mol L^-1 min^-1 and [A]_0 = 0.8 mol L^-1. The time taken for A to be completely consumed is NEET level
• The percentage of a reactant remaining after three half-lives of a first order reaction is NEET level
• Which plot is a straight line for a first order reaction A -> products? NEET level
• A first order reaction has k = 0.00693 s^-1 (ln 2 = 0.693). The time required for 87.5% of the reactant to react is JEE Main level
• A zero order reaction has a half-life of 20 min when [A]_0 = 0.50 M. The half-life when [A]_0 = 2.0 M is JEE Main level
• The plot of log_10[A] against time for a first order reaction is a straight line of slope -0.0125 min^-1. The rate constant is (use 2.303) JEE Main level
• The decomposition of a gas on a metal surface is zero order with k = 1.5x10^-3 mol L^-1 min^-1. The time for the concentration to fall from 0.10 to 0.04 mol L^-... JEE Main level
• A first order reaction has a half-life of 10 min. The percentage of the reactant left after 25 min is closest to JEE Main level
• A first order reaction takes 20 min for [A] to fall from 0.50 to 0.125 M. Find k in units of 10^-2 min^-1 (two decimals; use 2.303 and log 4 = 0.6020). JEE Main level
• A zero order reaction has k = 3.6x10^-3 M s^-1 and [A]_0 = 1.20 M. Calculate [A] after 4.5 min in units of 10^-2 M (two decimals). JEE Main level
• A radioactive-like first order decay of a drug follows [A] propto mass. A 8.0 g sample has a half-life of 10 min. Find the mass remaining after 45 min in grams ... JEE Main level
• A first order reaction has a half-life of 30 min. Find the time for 99% completion in minutes (nearest integer; use ln 2 = 0.693 and ln 10 = 2.303). JEE Main level
• Select the correct statements for a first order reaction A -> products (use ln 2 = 0.693 and ln 1000 = 6.908 where needed). JEE Main level
• Select the correct statements for a zero order reaction A -> products with rate constant k and initial concentration [A]_0. JEE Main level
• A first order reaction has [A] = 0.54 M at t = 10 min and [A] = 0.18 M at t = 30 min. The initial concentration is JEE Advanced level
• In a first order reaction, 75% of the reactant is decomposed in 40 min. The percentage decomposed in 100 min is JEE Advanced level
• The gas-phase decomposition A(g) -> B(g) + 2C(g) is first order in A. Starting with pure A at 100 mmHg, the total pressure is 200 mmHg after 20 min. The total p... JEE Advanced level
• A reaction of zero order has a half-life of 25 min at [A]_0 = 0.50 M. The time needed for [A] to fall from 0.50 to 0.10 M is JEE Advanced level
• A zero order reaction (rate constant k_0) and a first order reaction (rate constant k_1) have the same initial concentration [A]_0 and the same initial rate. Th... JEE Advanced level
• The hydrolysis of an ester in dilute acid is first order in the ester. The titre (mL of NaOH) is V_0 = 20 at t=0, V_t = 44 at t = 30 min and V_infty = 80 at com... JEE Advanced level
• The first order gas reaction A(g) -> 2B(g) starts with pure A at 80 mmHg. After 25 min the total pressure is 110 mmHg. Find k in units of 10^-2 min^-1 (two deci... JEE Advanced level
• A first order reaction has a half-life of 60 min and an initial rate of 4.0x10^-3 M min^-1. Find its rate after 150 min, in units of 10^-4 M min^-1 (two decimal... JEE Advanced level
• The decomposition of a gas on a catalyst surface is zero order, and the pressure of the gas falls at a constant 8.0x10^-3 atm min^-1 at 400 K. Treating the gas ... JEE Advanced level
• A reaction A -> products with [A]_0 = 1.000 M gave [A] = 0.6065, 0.3679, 0.1353 M at t = 10, 20, 40 min respectively. Select the correct statements (use ln 2 = ... JEE Advanced level
• Two reactions start with [A]_0 = 1.00 M and both have a half-life of 10 min (the first is zero order, the second is first order, ln 2 = 0.693). Select the corre... JEE Advanced level