From the rate expression for the following reactions, determine their order of reaction and the dimensions of the rate constants.
(i) 3NO(g) → N2O(g) Rate = k[NO]2
(ii) H2O2(aq) + 3I-(aq) + 2H+ → 2H2O (l) + I3- 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]
(i) Given rate = k[NO]2
Therefore, order of the reaction = 2
Dimension of k = \(\frac{Rate}{[NO]^2}\)
= \(\frac{mol\; L^{-1} s^{-1}}{(mol \;L^{-1})^2}\)
= \(\frac{mol\; L^{-1} s^{-1}}{mol^2 \;L^{-1}}\)
= L mol-1 s-1
(ii) Given rate = k[H2O2][I-]
Therefore, order of the reaction = 2
Dimension of k = \(\frac{Rate}{[H_2O_2][I^-]}\)
= \(\frac{mol\; L^{-1} s^{-1}}{(mol \;L^{-1})(mol \;L^{-1})}\)
= L mol-1 s-1
(iii) Given rate = k[CH3CHO]3/2
Therefore, order of reaction = \(\frac{3}{2}\)
Dimension of k = \(\frac{Rate}{[CH_3CHO]^{\frac{3}{2}}}\)
= \(\frac{mol\; L^{-1} s^{-1}}{(mol \;L^{-1})^{\frac{3}{2}}}\)
= \(\frac{mol\; L^{-1} s^{-1}}{mol^{\frac{3}{2}}L^{\frac{3}{2}}}\)
= \(L^{\frac{1}{2}}mol^{\frac{1}{2}} s^{-1}\)
(iv) Given rate = k [C2H5Cl]
Therefore, order of the reaction = 1
Dimension of k = \(\frac{Rate}{[C_2H_5Cl]}\)
= \(\frac{mol\; L^{-1} s^{-1}}{mol \;L^{-1}}\)
= s-1