Second order and pseudo first order reactions

28 questions on Second order and pseudo first order reactions 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 second order reaction, with concentration in mol L^-1 and time in seconds, is NEET level
• Acid-catalysed hydrolysis of ethyl acetate in dilute aqueous solution, CH3COOC2H5 + H2O -> CH3COOH + C2H5OH, is bimolecular but is found to follow first order k... NEET level
• For the reaction 2A -> products with -(d[A])/(dt) = k[A]^2, a straight line with slope k is obtained by plotting NEET level
• The rate of a reaction is given by rate = k[A]^2. If the concentration of A is tripled at constant temperature, the rate becomes NEET level
• For 2A -> P with -d[A]/dt = k[A]^2, the quantity 1/[A] rises from 2.0 L mol^-1 to 2.5 L mol^-1 in 100 s. The value of k is NEET level
• Which of the following is a pseudo first order reaction? NEET level
• For 2A -> P with -d[A]/dt = k[A]^2, k = 0.020 L mol^-1 s^-1 and [A]_0 = 0.50 mol L^-1. The time needed for 75% of A to react is JEE Main level
• A second order reaction 2A -> P obeys -d[A]/dt = k[A]^2 with k = 0.025 L mol^-1 s^-1. Starting from [A]_0 = 0.80 mol L^-1, the concentration of A after 60 s is JEE Main level
• For A + B -> P the rate law is rate = k[A][B] with k = 6.0x10^-3 L mol^-1 s^-1. A run uses [A]_0 = 2.0x10^-3 mol L^-1 and [B]_0 = 0.50 mol L^-1. Using ln 2 = 0.... JEE Main level
• A gas-phase reaction 2A(g) -> products is second order in A. The volume of the container is reduced isothermally to one quarter of its original value (no reacti... JEE Main level
• The rate constant of a second order reaction is 2.5x10^-3 L mol^-1 s^-1. Expressed in m^3 mol^-1 min^-1 (use 1 L = 10^-3 m^3) it is JEE Main level
• A reaction 2A -> P is second order with -d[A]/dt = k[A]^2 and k = 0.032 L mol^-1 s^-1. How long (in seconds, nearest integer) does it take for [A] to fall from ... JEE Main level
• The reaction A + B -> P is first order in each reactant. With [B]_0 = 0.50 mol L^-1 in large excess over A, the observed first order rate constant for the disap... JEE Main level
• For A + B -> P with rate = k[A][B] and k = 0.45 L mol^-1 min^-1, both reactants start at 0.10 mol L^-1. Find [A] after 20 min in units of 10^-2 mol L^-1 (two de... JEE Main level
• For the reaction 2A -> P with -d[A]/dt = k[A]^2, select the correct statement(s). JEE Main level
• Which of the following are pseudo first order under the conditions stated? Select the correct option(s). JEE Main level
• A reaction 2A -> P follows -d[A]/dt = k[A]^2 with k = 0.040 L mol^-1 s^-1 and [A]_0 = 0.50 mol L^-1. Select the correct statement(s). JEE Main level
• For A + B -> P, rate = k[A][B] with k = 0.0462 L mol^-1 min^-1. A mixture is prepared with [A]_0 = 0.010 mol L^-1 and [B]_0 = 1.0 mol L^-1. Using ln 2 = 0.693, ... JEE Advanced level
• Equal initial concentrations (0.20 mol L^-1 each) of A and B react as A + B -> P with rate = k[A][B], k = 0.30 L mol^-1 min^-1. The percentage of A converted in... JEE Advanced level
• For the reaction 2A -> P the rate of reaction is defined as r = -(1)/(2)(d[A])/(dt) and r = k[A]^2 with k = 5.0x10^-3 L mol^-1 s^-1. For [A]_0 = 0.80 mol L^-1 t... JEE Advanced level
• The hydrolysis of an ester in a large excess of dilute acid is followed by titrating equal samples with alkali. The titre volumes are V_0 = 12.0 mL at t = 0, V_... JEE Advanced level
• A second order reaction 2A -> P (-d[A]/dt = k[A]^2) has k = 2.0x10^-3 L mol^-1 s^-1 at 300 K and E_a = 60 kJ mol^-1 (independent of temperature). Take R = 8.314... JEE Advanced level
• The gas-phase reaction 2A(g) -> 3B(g) is second order in A. Starting with pure A at 400 mmHg (constant volume and temperature), the total pressure is 520 mmHg a... JEE Advanced level
• For A + B -> P, rate = k[A][B]. With [B]_0 = 0.80 mol L^-1 (large excess), the half-life of A is 12.0 min. In a second run [B]_0 = 0.20 mol L^-1 (still in large... JEE Advanced level
• A reaction 2A -> P is second order in A. It is 30% complete in 20 min. Calculate the time (in minutes, two decimals) required, from the start, for the reaction ... JEE Advanced level
• For A + B -> P (rate = k[A][B], k = 0.50 L mol^-1 s^-1) the initial concentrations are [A]_0 = 0.30 mol L^-1 and [B]_0 = 0.20 mol L^-1. Using kt = (1)/(a-b)ln(b... JEE Advanced level
• For A + B -> P, rate = k[A][B] with k = 0.30 L mol^-1 s^-1. A run has [A]_0 = 1.0x10^-3 mol L^-1 and [B]_0 = 0.60 mol L^-1. Take ln 2 = 0.693 and treat [B] as c... JEE Advanced level
• For 2A -> P the rate of reaction is defined as r = -(1)/(2)(d[A])/(dt) = k[A]^2 with k = 0.010 L mol^-1 s^-1 and [A]_0 = 0.50 mol L^-1. Select the correct state... JEE Advanced level