Problem 90c

Given information

The reaction in which the rate of reaction is directly proportional to the concentration of only one reactant. The formula for the first-order rate equation is,

Step-by-step explanation

The initial pressure of the system containing   is  .

The change in pressure of the system containing of   is supposed to be .

The given constant time is .

The rate constant for the first-order decomposition of   to   and  is .

The relation between the rate constant and pressure at a given constant time is expressed by the formula,

Where,

•   is the initial pressure of the system.

•   is the change in pressure of the system.

•   is the rate constant.

•   is the constant time.

Substitute the respective values pressure and rate constant in the above expression.