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From the rate expression for the following reactions,determine their order of reaction and the dimensions of the rate constants. (i)3NO_((g))toN_(2)O_((g)) ""Rate=K[NO]^(2) (ii)H_(2)O_(2_((aq)))+3I_((aq))^(-)+2H_((aq))^(+)to2H_(2)O_((l))+l_(3)^(-) "" Rate = k [ H_2O_2][I^-] (iii)CH_(3)CHO_((g)toCH_(4(g))+CO_((g)) Rate=K[CH_(3)CHO]^((3)/(2)) (iv)C_(2)H_(5)Cl_((g))toC_(2)H_(4(g))+HCl_((g)) Rate =k[C_(2)H_(5)Cl] |
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Answer» Solution :Gvien reaction :`3NO_((g))toN_(2)O_((g))` Rate of reaction =`k[NO]^(2)` is GIVEN `THEREFORE` Order of reaction =Power=2 DIMENSION of rate constant: Rate of reaction =`k[NO]^(2)` `therefore k=("Rate")/([NO]^(2))` The unit of second order reaction is `mol^(-1) Ls^(-1)` The unit of rate is always mol `L^(-1) s^(-1)` (ii)Given reaction :`H_(2)O_(2(aq))+3I_((aq))^(-)to2H_(2)O_((l))+I_(3)^(-)` Rate of reaction =`k[H_(2)O_(2)][I]` so with respect to `H_(2)O_(2)` order is =1 With respect to `I^(-)` order is =1 `therefore` overal order of reaction =I+I=2 Dimension of k: Rate of reaction =`k[H_(2)O_(2)][I^(-)]` `therefore` Dimension of k=`("Dimension of rate")/([H_(2)O_(2)][I^(-)])` `=(mol L^(-1) s^(-1))/((mol L^(-1)) (mol s^(-1)))` (iii)Gicen reaction :`CH_(3)CHO_((g))toCH_((g))+CO_((g))` Rate of this reaction k=`[CH_(3)CHO]^((3)/(2))` Order of this reaction =Power of reactant in the equation =`(3)/(2)` Dimension of k: `therefore` Dimension of k(unit) Rate of reaction (r)=`k[C_(2)H_(5)Cl]` Rate of reaction (n)=(Sum of power in rate equation)=1 Dimension of rate constant k: Dimension of k=`("Dimension Rate (r)")/("dimension of reactant in rate equation ")` `(mol L^(-1)S^(-1))/(mol L^(-1))` `=s^(-1)` |
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