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^-4s^-1`
`N_2 O_5(G)rarr2NO_2(g)+1/2O_2(g)`
What concentration of `N_2 O_5` would give a rate of `4.2xx10^-3 mol L^-1 s^-1`?

Explanation

`N_2O_5 to 2NO_2 + 1/2 O_2`
(i) Rate = `k [N_2O_5]`
`= 6.2 xx 10^(-4) xx 2.5`
`= 1.55 xx 10^(-3) mol l^(-1)s^(-1)`
(ii) Rate = `k [H_2O_5]`
`= 6.2 xx 10^(-4) xx 0.5 `
`= 3.1 xx 10^(-4) mol l^(-1) sec^(-1)`
(iii) Rate = `k [H_2O_3]`
`4.2 xx 10^(-3) = 6.2 xx 10^(-4) [W_2O_5]`
`[W_2O_5] = 6.77 mol l^(-1)`