From the rate expression for the following reactions, determine their order of reaction and the dimensions of the rate constants.

From the rate expression for the following reactions, determine their order of reaction and the dimensions of the rate constants.
(i) 3 NO(g) → N₂O (g)                                          Rate = k[NO]²
(ii) H₂O₂ (aq) + 3 I⁻ (aq) + 2 H⁺ → 2 H₂O+ (I^-) ₃ Rate = k[H₂O₂][I⁻]
(iii) CH₃CHO(g) → CH₄(g) + CO(g)                     Rate = k [CH₃CHO]^3/2
(iv) C₂H₅Cl(g) → C₂H₄(g) + HCl(g)                      Rate = k [C₂H₅Cl]
Answer
(i)
Given that
Rate = k [NO]²
Order of the reaction = 2
Use formula

Dimension of rate = mol L^-1 s^-1
Dimension of concentration = mol L^-1
Plug the values
Dimension of k

(ii)
Given that
Rate = k [H₂O₂] [I⁻]
Order of the reaction = 2
Use formula

Dimension of rate = mol L^-1 s^-1
Dimension of concentration = mol L^-1
Plug the values
Dimension of k

(iii)
Given that
Rate = k [CH₃CHO]^3/2
Order of reaction = 3/2
Use formula

Dimension of rate = mol L^-1 s^-1
Dimension of concentration = mol L^-1
Plug the values
Dimension of k

(iv)
Given that
Rate = k [C₂H₅Cl]
Order of the reaction = 1
use formula

Dimension of rate = mol L^-1 s^-1
Dimension of concentration = mol L^-1
Plug the values
Dimension of k