From the rate expression for the following reactions, determine their order of reaction and the dimensions of the rate constants: `CH_3CHO (g) rarr CH_4 (g) + CO(g) Rate = k[CH_3CHO]^(3/2)`

Explanation

For the reaction
`CH_3CHO(g)rarrCH_4(g)+CO(g)`
`therefore` Order w.r.t `CH_3CHO=3/2`
Overall order =`3/2`
To find under of k
`k=("rate")/([CH_3CHO]^(3//2))`
Unit of k=`(mol L^(-1)s^(-1))/((mol L^(-1))^(3//2))`
`=mol^(1-3//2)L^(3//2-1)s^(-1)`
`=mol^(-1//2)L^(1//2)s^(-1)`