Summary Chemical Kinetics Numericals Part 1

CHEMICAL KINETICS 1
NUMERICALS
1. The rate of a chemical reaction is given by the equation: Rate = k[A][B]^2, where [A]
and [B] are the concentrations of reactants A and B respectively, and k is the rate
constant. If the concentration of A is 0.2 M and the concentration of B is 0.5 M, and
the rate constant is 0.1 M^-2 min^-1, what is the rate of the reaction?

Solution:
Rate = k[A][B]^2
Plugging in the given values:
[A] = 0.2 M
[B] = 0.5 M
k = 0.1 M^-2 min^-1

Rate = 0.1 * (0.2) * (0.5)^2
Rate = 0.025 M/min

2. For a certain reaction, the rate law is given by the equation: Rate = k[C]^2[D], where
[C] and [D] are the concentrations of reactants C and D respectively, and k is the rate
constant. If the concentration of C is 0.1 M and the concentration of D is 0.2 M, and
the rate constant is 0.05 M^-2 min^-1, what is the rate of the reaction?

Solution:
Rate = k[C]^2[D]
Plugging in the given values:
[C] = 0.1 M
[D] = 0.2 M
k = 0.05 M^-2 min^-1

Rate = 0.05 * (0.1)^2 * (0.2)
Rate = 0.001 M/min

3. The rate of a chemical reaction is given by the equation: Rate = k[A]^0.5[B]^2, where
[A] and [B] are the concentrations of reactants A and B respectively, and k is the rate
constant. If the concentration of A is 0.4 M and the concentration of B is 0.3 M, and
the rate constant is 0.02 M^-0.5 min^-1, what is the rate of the reaction?

Solution:
Rate = k[A]^0.5[B]^2
Plugging in the given values:
[A] = 0.4 M
[B] = 0.3 M
k = 0.02 M^-0.5 min^-1

Rate = 0.02 * (0.4)^0.5 * (0.3)^2
Rate = 0.00816 M/min