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Chemistry Question on Chemical Kinetics

The unit of rate constant for the reaction, 2H2+2NO?2H2O+N2{2H_2 + 2NO ? 2H_2O + N_2} which has rate = k[H2][NO]2k[H_2] [NO]^2, is

A

mol L−1 s−1{mol\, L^{-1}\, s^{-1}}

B

s−1{s^{-1}}

C

mol−2 L2 s−2{mol^{-2}\, L^{2}\, s^{-2}}

D

mol L−1{mol\, L^{-1}}

Answer

mol−2 L2 s−2{mol^{-2}\, L^{2}\, s^{-2}}

Explanation

Solution

Unit of rate constant for the reaction is
k=rate[H2][NO]2=mol L−1 s−1(mol L−1)(mol L−1)k = { \frac{rate}{[H_2][NO]^2} = \frac{mol\, L^{-1} \, s^{-1}}{(mol\, L^{-1})(mol\, L^{-1})}}
=mol−2 L2 s−1{ = mol^{-2} \, L^{2} \, s^{-1}}