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Chemistry Question on Chemical Kinetics

The rate of reaction CCl3CHO+NO→CHCl3+NO+COCC{{l}_{3}}CHO+NO\xrightarrow[{}]{{}}CHC{{l}_{3}}+NO+CO Is equal to rate =k[CCl3CHO][NO]=k[CC{{l}_{3}}CHO][NO]. If concentration is expressed in mol L−1,mol\text{ }{{L}^{-1}}, the unit of kk is

A

L mol−1s−1L\,mo{{l}^{-1}}{{s}^{-1}}

B

mol L−1s−1mol\text{ }{{L}^{-1}}{{s}^{-1}}

C

L2mol−2s−1{{L}^{2}}mo{{l}^{-2}}{{s}^{-1}}

D

s−1{{s}^{-1}}

Answer

L mol−1s−1L\,mo{{l}^{-1}}{{s}^{-1}}

Explanation

Solution

Rate =dxdt=k[CCl3CHO][NO]=\frac{dx}{dt}=k[CC{{l}_{3}}CHO][NO] k=dxdt×[CCl3CHO][NO]k=\frac{dx}{dt\times [CC{{l}_{3}}CHO][NO]} =mol L−1s−1×mol L−1×mol L−1=\frac{mol\,{{L}^{-1}}}{{{s}^{-1}}\times mol\,{{L}^{-1}}\times mol\,{{L}^{-1}}} =L mol−1s−1=L\,mo{{l}^{-1}}{{s}^{-1}}