What will be the correct unit of rate constant k for a reaction whose order is three ?

Question

What will be the correct unit of rate constant k for a reaction whose order is three ? (A) mole -1 lit sec -1  (B) mole 2 lit sec -1  (C) sec -1  (D) mole -2 lit 2 sec -1

Tardigrade Admin · Accepted Answer

For third order reaction: Rate =k[A]3 Mol L-1 sec-1=k[Mol L-1]3 K=(Mol L-1 sec-1/Mol3L-3) =Mol-2 L2 sec-1

Q. What will be the correct unit of rate constant $k$ for a reaction whose order is three ?

mole $^{- 1}$ lit sec $^{- 1}$

mole $^{2}$ lit sec $^{- 1}$

sec $^{- 1}$

mole $^{- 2}$ lit $^{2}$ sec $^{- 1}$

For third order reaction : Rate $= k [A]^{3}$
$M o l L^{- 1} se c^{- 1} = k [M o l L^{- 1}]^{3}$
$K = \frac{M o l L ^{- 1} se c ^{- 1}}{M o l ^{3} L ^{- 3}}$
$= M o l^{- 2} L^{2} se c^{- 1}$

Q. What will be the correct unit of rate constant k for a reaction whose order is three ?

mole −1 lit sec −1

mole 2 lit sec −1

sec −1

mole −2 lit 2 sec −1