The decomposition of dimethyl ether leads to 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 an 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[pCH 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?

The decomposition of dimethyl ether leads to formation of CH₄, H₂ and CO and the reaction rate is given by,
Rate = k[CH₃OCH₃]^3/2. The rate of reaction is followed by an 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[pCH₃OCH₃]^3/2. If the pressure is measured in bar and time in minutes, then what are the units of rate and rate constants?

Rate of given chemical reaction will be represented as

.

Hence units of rate is bar min^-1

To find units of K, K = rate/[pCH₃OCH₃]^3/2

The unit of k = bar ^-1/2min^-1.

Units of Rate- bar min^-1. and Units of Rate constant K : bar ^-1/2min ^-1

5