For the gas phase decomposition of nitrosyl chloride at 400 K, the rate of the reaction is determined by measuring the appearance of Cl2. 2 NOCl = 2 NO + Cl2 At the beginning of the reaction, the concentration of Cl2 is 0 M. After 1.64*103 min the concentration has increased to 3.39*10-3 M. What is the rate of the reaction?

2.067 x 10⁻⁷ M/min.

Explanation:

Knowing that the rate of the reaction is the change in the concentration of reactants (decrease) or the products (increase) with time.

For the reaction: 2NOCl ⇄ 2NO + Cl₂,

Rate of the reaction = - 1/2 d[NOCl]/dt = 1/2 d[NO]/dt = d[Cl₂]/dt

∵ d[Cl₂] = 3.39 x 10⁻³ M, dt = 1.64 x 10³ min.

∴ Rate of the reaction = d[Cl₂]/dt = (3.39 x 10⁻³ M) / (1.64 x 10³ min) = 2.067 x 10⁻⁷ M/min.