1.

The decomposition of dimethyl ether is a fractional order reaction. The rate of reaction is givenby 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 constant?

Answer»

<P>BAR `"min"^(-1), "bar"^(2) "min"^(-1)`
bar `"min"^(-1), "bar"^(2), "min"^(-1)`
`"bar"^(-1//2) "min"^(-1),"bar"^(2),"min"^(-1)`
bar `"min"^(-1), "bar"^(1//2) "min"^(-1)`

Solution :In TERMS of pressure
Rate `k = (P_(CH_(3)OCH_(3))^(3//2))`
Unit of rate = bar `"min"^(-1)`
Unit of rate constant = `("rate")/((p_(CH_(3)OCH_(3))^(3//2))`
`= ("bar" "min"^(-1))/("bar"^(3//2)) = "bar"^(-1//2) "min"^(-1)`


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