From the rate expression for the following reactions, determine their order of reaction and the admensions 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) `C_(2) H_(5)Cl(g) to C_(2) H_(4)(g) +CO(g)" "Rate =k[CH_(3)CHO]^(3//2)`
iv) `C_(2) H_()5) Cl (g) to C_(2)H_(2) to C_(2)H_(4) (g) + HCl(g)" "Rate =k [C_(2)H_(5)Cl]`

Explanation

Rate `=k [NO]^(2)`
order of reaction =2
units (dimensions) of rate constant
`[k] =(Rate)/([NO]^(2))=(mol L^(-1)s^(-1))/((mol L ^(-1))^(2))= mol ^(-1) L s^(-1)`
ii) Rate `=k[H_(2)O _(2)] [I^(-)]`
order of reaction `=1+1=2`
Dimensions of `k =(Rate)/([H_(2)O_(2)][I^(-)])=(mol L^(-1)s^(-1))/((mol L ^(-1))[mol L ^(-1]))= mol ^(-1) L s^(-1)`
iii) Rate ` =k [CH_(3) CHO]^(3//2)`
order of reaction `=3/2`
Dimensions of `k=(Rate)/([CH_(3)CHO]^(3//2))=(mol L ^(-1)s^(-1))/((mol L ^(-1))^(3//2))= mol ^(-1//2)L ^(1//2)s^(-1)`
iv) Rate `=k [C_(2) H_(5)Cl]`
order of reaction =1
Dimensions of `k=(Rate)/(C_(2) H_(5)Cl)=(mol L ^(-1)s^(-1))/(mol L ^(-1))=s^(-1)`