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Question 73 of 80

Q.The rate constant of a reaction is 5.8×10−2 s−15.8 \times 10^{-2}\,s^{-1}. The order of the reaction is :

(a) Second order
(b) First order
(c) Third order
(d) Zero order
Tamil Nadu DgeTamil Nadu HSC (DGE) Board 2024MCQ· 1mImportance★★★★★
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The general unit of a rate constant is (mol L−1)1−n s−1(\text{mol L}^{-1})^{1-n}\,s^{-1} for a reaction of order nn; this reduces to plain s−1s^{-1} (no concentration term at all) only when n=1n=1, i.e. for a first-order reaction.

For a reaction of order nn, rate =k[conc]n=k[\text{conc}]^n; since rate always has units of mol L−1s−1\text{mol L}^{-1}s^{-1}, rearranging gives kk's units as (mol L−1)1−ns−1(\text{mol L}^{-1})^{1-n}s^{-1}. Checking each order: zero order (n=0n=0) gives kk units of mol L−1s−1\text{mol L}^{-1}s^{-1}; first order (n=1n=1) gives (mol L−1)0s−1=s−1(\text{mol L}^{-1})^0s^{-1}=s^{-1} (concentration term vanishes entirely); second order (n=2n=2) gives mol−1Ls−1\text{mol}^{-1}Ls^{-1}; third order (n=3n=3) gives mol−2L2s−1\text{mol}^{-2}L^2s^{-1}. Since the given rat …

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