The decomposition of `N_2 O_5` in carbon tetrachloride solution has been found to be first order with respect to `N_2 O_5` with rate constant, `k-6.2xx10^-4s6-1`
`N_2 O_5(G)rarr2NO_2(g)+1/2O_2(g)`
Calculate the rate of reaction when
`[N_2 O_5]=2.50mol L^-1`

Explanation

For the reaction ,
`N_2O_5 overset(CCl_4)(rarr)2NO_2+1//2O_2`
rate law expression is,
rate=k `[N_2O_5]`
rate=`6.2xx10^(-4)s^(-1)[N_2O_5]" "[becausek=6.2xx10^(-4)s^(-1)]`
(i) `[N_2O_5]=2.50" mol L"^(-1)`
`therefore` rate=`(6.2xx10^(-4)s^(-1))xx(2.5" mol L"^(-1))`
`=1.55xx10^(-3)" mol L"^(-1)s^(-1)`
(ii) `[N_2O_5]=1/5xx2.5" mol L"^(-1)`
`=0.5" mol L"^(-1)`
`therefore` rate=`(6.2xx10^(-4)s^(-1))xx(0.5" mol L"^(-1))`
`=3.1xx10^(-4)" mol L"^(-1)s^(-1)`