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Chemistry Question on Chemical Kinetics

For a reaction, r=k(CH3COCH3)3/2r = k(CH_3COCH_3)^{3/2} then unit of rate of reaction and rate constant respectively is

A

mol L−1s−1,mol−1/2L1/2s−1mol\, L^{-1} s^{-1}, mol^{-1/2} L^{1/2} s^{-1}

B

mol−1L−1s−1,mol−1/2L−1/2s−1mol^{-1} L^{-1} s^{-1}, mol^{-1/2} L^{-1/2} s^{-1}

C

mol L−1s−1,mol+1/2L1/2s−1mol\, L^{-1} s^{-1}, mol^{+1/2} L^{1/2} s^{-1}

D

mol L s,mol+1/2L1/2smol\, L \,s, mol^{+1/2} L^{1/2} s

Answer

mol L−1s−1,mol−1/2L1/2s−1mol\, L^{-1} s^{-1}, mol^{-1/2} L^{1/2} s^{-1}

Explanation

Solution

Rate=concentrationtime=molL−1sRate =\frac{concentration}{time}=\frac{mol L^{-1}}{s} \quad\quad= mol L s The units of rate constant for the reaction of the nth order = (mol L) s here, n=32n=\frac{3}{2} ? Unit of rate constant = (mol L) s \quad\quad\quad\quad\quad\quad\quad\quad\quad= (mol L) s \quad\quad\quad\quad\quad\quad\quad\quad\quad= mol L s