From the rate expression for the following reactions, determine their order of reaction and the dimensions of the rate constants:
(i) `3NO(g) to N_(2)O(g), "Rate"=k[NO]^(2)`
(ii) `H_(2)O_(2)(aq)+3I^(-)(aq)+2H^(+) to 2H_(2)O(l)+I_(3)^(-), "Rate"=k[H_(2)O_(2)][I^(-)]`
(iii) `CH_(3)CHO(g) to CH_(4)(g)+CO(g) , "Rate"=k[CH_(3)CHO]^(3//2)`
(iv) `C_(2)H_(5)Cl(g) to C_(2)H_(4)(g)+HCl (g) , "Rate"=k[C_(2)H_(5)Cl]`

Explanation

(i) Order = 2, Dimensions of `k=("Rate")/([NO]^(2))=("mol L"^(-1)s^(-1))/(("mol L"^(-1))^(2))="L mol"^(-1)s^(-1)`
(ii) Order = 2, Dimensions of k = Same as in (i)
(iii) Order `=(3)/(2)`, Dimensions of `k=("Rate")/([CH_(3)CHO]^(3//2))=("mol L"^(-1)s^(-1))/(("mol L"^(-1))^(3//2))=L^(1//2)"mol"^(-1//2)s^(-1)`
(iv) Order = 1, Dimensions of `k=("Rate")/([C_(2)H_(5)Cl])=("mol L"^(-1)s^(-1))/("mol L"^(-1))=s^(-1)`.