The decomposition of dimethyl ether leads to the formation of `CH_4, H_2 and CO` and the reaction rate is given by rate `= k [CH_(3) OCH_(3) ]^(3//2)`. The rate of reaction is followed by increase in pressure in a closed vessel, so the rate can also be expressed in terms of the partial pressure of dimethyl ether, i.e. rate `=k (P_(CH_3 OCH_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")/( (P_(CH_(3) OCH_(3) )^(3//2))) =" bar"^(-1//2)" min"^(-1)`