Question

Rate law expression of a reaction is:
Rate $=k{\left[A\right]}^{2/3}\left[B\right]$
Which of the following are correct about the corresponding reaction?

• A. Order of reaction $=\frac{2}{3}+1=\frac{5}{3}$
• B. Unit of rate constant $=L^{2/3}{mol}^{-2/3}{sec}^{-1}$
• C. Unit of rate constant $={atm}^{-2/3}{sec}^{-1}$
• D. Unit of rate constant $=mol$ $L^{-1}{sec}^{-1}$

Answer 1

Answer: (A), (B), (C)

The correct options are
A Order of reaction $=\frac{2}{3}+1=\frac{5}{3}$
B Unit of rate constant $=L^{2/3}{mol}^{-2/3}{sec}^{-1}$
C Unit of rate constant $={atm}^{-2/3}{sec}^{-1}$

Overall order=$\frac{2}{3}+1=\frac{5}{3}$

Unit of rate constant=$mo{l}^{1-n}{L}^{n-1}se{c}^{-1}$

where n=order of reaction

For given reaction, unit of rate constant=$mo{l}^{1-5/3}{L}^{5/3-1}se{c}^{-1}$

=$L^{2/3}mo{l}^{-2/3}se{c}^{-1}$

For gaseous reaction, concentration term= pressure in atm

unit of rate constant=$at{m}^{-2/3}se{c}^{-1}$