Carbonyl chloride gas decomposes to give carbon monoxide gas and chlorine gas
` COCl_2(g) to CO (g) +Cl_2 (g)`
It follows the rate law: rate. `=K[COCI_2]^(1//3)` Calculate the units of its rate constant.

Answer

(atm)`""^(-1//2) s^(-)`

Explanation

rate `=k[COCl_2 ]^(3//2)`. Hence, order of reaction, n = 3/2.
To find units of rate constant, k, we have :
`k= ( mol L^(-1) ) ^(1-n) s^(-1)`
Substituting the value of n = 3/2, we get
` k= [mol L^(-1) ]^(1-3//2) s^(-1) = ( mol L^(-1))^(-1//2) s^(-1) or (atm )^(-1//2) s^(-1)`