The rate expression for the decomposition of dimethyl ether in terms of partial pressures is given as Rate ` =k (pCH_(3) O CH_(3)) ^(3//2) .` If the pressure is measured in bar and time in minutes, then what are the units of rate and rate constant ?

Explanation

Unit of rate = bar `min ^(-1)`
unit of `k=(Rate)/([(PCH_(3)OCH_(3))]^(3//2))`
`=("bar min"^(-1))/(["bar"])^(3//2)="bar"^(-1//2)"min"^(-1).`