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The decomposition of dimethyl ether lead...

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 constants?

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bar^(-1//2) "min"^(-1)`
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