The thermal decomposition of dimethyl ether as measured by finding the increase in pressure of the reaction.
`(CH_(3))_(2) O(g) rarr CH_(4)(g) +H_(2)(g) +CO(g)`
At `500^(@)C` is as follows :
Time (sec.) `390 1195 3155 prop`
Pre. increase (mm Hg) 96 250 467 619 the initial pressure of ether was 312 mm Hg. Write the rate equation for this reaction and determine the rate constant of reaction.

Explanation

(i) `r=K[(CH_(3))_(2)O], 0.000428" sec"^(-1)`