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Q.For the reaction 2H2 + 2NO -> 2H2O + N2, the rate law is: Rate = K[H2][NO]^2. The unit of the rate constant K for this reaction is –

(a) mol L^-1 s^-1
(b) s^-1
(c) mol^-2 L^2 s^-1
(d) mol L^-1
Tripura TbseHigher Secondary (+2 Stage) Examination 2023MCQ· 1mImportance★★★★★
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Rate = K[H2][NO]^2 is a third-order reaction overall (1+2=3); working out the units from Rate = K[conc]^3 gives K in mol^-2 L^2 s^-1.

Rate law: Rate = K[H2]^1[NO]^2, so the overall order = 1 + 2 = 3 (third order).

Units: Rate has units of mol L^-1 s^-1 (concentration change per time). Concentration [H2][NO]^2 has units of (mol L^-1)^3 = mol^3 L^-3.

K = Rate / ([H2][NO]^2) = (mol L^-1 s^-1) / (mol^3 L^-3) = mol^(1-3) L^(-1+3) s^-1 = mol^-2 L^2 s^-1

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