From the rate expression for the following reactions, determine their order of reaction and dimensions of the rate constants.
`a. 3NO(g) rarr N_(2)O(g),` Rate`=k[NO]^(2)`
`b. H_(2)O_(2)(aq)+3I^(c-)(aq)+2H^(o+) rarr 2H_(2)O(l)+I_(3)^(c-),` Rate`=k[H_(2)O_(2)][I^(c-)]`
`c. CH_(3)CHO(g)rarr CH_(4)(g)+CO(g),` Rate`=k[CH_(3)CHO]^(3//2)`
`d. C_(2)H_(5)Cl(g) rarr C_(2)H_(4)(g)+HCl(g),` Rate `k[C_(2)H_(5)Cl]`

Explanation

(i) Order = 2, Dimensions of `k=("Rate")/([NO]^(2))=(molL^(-1)s^(-1))/((molL^(-1))^(2))=Lmol^(-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))=(molL^(-1)s^(-1))/((molL^(-1))^(3//2))=L^(1//2)mol^(-1//2)s^(-1)`
(iv) Order = 1, Dimensions of `k=("Rate")/([C_(2)H_(5)Cl])=(molL^(-1)s^(-1))/(molL^(-1))=s^(-1).`