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Question: The unit of rate constant for the reaction, \[2H_{2} + 2NO \rightarrow 2H_{2}O + N_{2}\] Which has...

The unit of rate constant for the reaction,

2H2+2NO→2H2O+N22H_{2} + 2NO \rightarrow 2H_{2}O + N_{2}

Which has rate =k[H2][NO]2= k\lbrack H_{2}\rbrack\lbrack NO\rbrack^{2}, is

A

molL−1s−1molL^{- 1}s^{- 1}

B

s−1s^{- 1}

C

mol−2L2s−1mol^{- 2}L^{2}s^{- 1}

D

molL−1molL^{- 1}

Answer

mol−2L2s−1mol^{- 2}L^{2}s^{- 1}

Explanation

Solution

Unit of rate constant for the reaction is

k=rate[H2][NO]2=molL−1s−1(molL−1)(molL−1)2=mol−2L2s−1k = \frac{rate}{\lbrack H_{2}\rbrack\lbrack NO\rbrack^{2}} = \frac{molL^{- 1}s^{- 1}}{(molL^{- 1})(molL^{- 1})^{2}} = mol^{- 2}L^{2}s^{- 1}