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

Question

For a reaction, r = k(CH3COCH3)3/2 then unit of rate of reaction and rate constant respectively is (A) mol L-1 s-1, mol-1/2 L1/2 s-1 (B) mol-1 L-1 s-1, mol-1/2 L-1/2 s-1 (C) mol L-1 s-1, mol+1/2 L1/2 s-1 (D) mol L s, mol+1/2 L1/2 s

Tardigrade Admin · Accepted Answer

Rate =(concentration/time)=(mol L-1/s) = mol L-1 s-1 The units of rate constant for the reaction of the nth order = (mol L-1)1-n s-1 here, n=(3/2) â´ Unit of rate constant = (mol L-1)1-3/2 s-1 = (mol L-1)-1/2 s-1 = mol-1/2 L1/2 s-1

Q. For a reaction, $r = k (C H_{3} COC H_{3})^{3/2}$ then unit of rate of reaction and rate constant respectively is

$m o l L^{- 1} s^{- 1}, m o l^{- 1/2} L^{1/2} s^{- 1}$

$m o l^{- 1} L^{- 1} s^{- 1}, m o l^{- 1/2} L^{- 1/2} s^{- 1}$

$m o l L^{- 1} s^{- 1}, m o l^{+ 1/2} L^{1/2} s^{- 1}$

$m o l L s, m o l^{+ 1/2} L^{1/2} s$

$R a t e = \frac{co n ce n t r a t i o n}{t im e} = \frac{m o l L ^{- 1}}{s}$
= mol L^-1 s^-1
The units of rate constant for the reaction of the nth order = (mol L^-1)^1-n s^-1
here, $n = \frac{3}{2}$
∴ Unit of rate constant = (mol L^-1)^1-3/2 s^-1
= (mol L^-1)^-1/2 s^-1
= mol^-1/2 L^1/2 s^-1

Q. For a reaction, r=k(CH3​COCH3​)3/2 then unit of rate of reaction and rate constant respectively is

molL−1s−1,mol−1/2L1/2s−1

mol−1L−1s−1,mol−1/2L−1/2s−1

molL−1s−1,mol+1/2L1/2s−1

molLs,mol+1/2L1/2s