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Chemical Kinetics and Nuclear Chemistry question

2021 · 26 Aug · Shift 1 · Q19
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Chemical Kinetics and Nuclear Chemistry question

2021 · 26 Aug · Shift 1 · Q19

JEE MainChemistryChemical Kinetics and Nuclear ChemistryNumerical+4 / −1
The following data was obtained for chemical reaction given below at 975 K. 2NONONO(g) + 2H2H_2H2​(g) →\to→ N2N_2N2​(g) + 2H2OH_2OH2​O(g) JEE Main 2021 (Online) 26th August Morning Shift Chemistry - Chemical Kinetics and Nuclear Chemistry Question 100 English The order of the reaction with respect to NONONO is ‾\underline{\hspace{2cm}}​. [Integer answer]
Numerical answer
View written solutionFree

Correct answer: 2

To find the order with respect to NONONO, we need the experimentally observed rate dependence on [NO][NO][NO].

For the reaction 2NO(g)+2H2(g)→N2(g)+2H2O(g)2NO(g)+2H_2(g) \to N_2(g)+2H_2O(g)2NO(g)+2H2​(g)→N2​(g)+2H2​O(g) we use the known experimental rate law for this reaction: Rate=k[NO]2[H2]\text{Rate}=k[NO]^2[H_2]Rate=k[NO]2[H2​]

So, the exponent of [NO][NO][NO] in the rate law gives the order with respect to NONONO.

Step-by-step

  1. Write the rate law in general form: Rate=k[NO]x[H2]y\text{Rate}=k[NO]^x[H_2]^yRate=k[NO]x[H2​]y

  2. For this reaction, experiments show: Rate=k[NO]2[H2]\text{Rate}=k[NO]^2[H_2]Rate=k[NO]2[H2​]

  3. Therefore, x=2x=2x=2

  4. Hence, the order with respect to NONONO is: 2\boxed{2}2​

Comparison with stored answer

Stored correct answer = 111

But the experimentally established kinetics of the reaction 2NO+2H2→N2+2H2O2NO+2H_2\to N_2+2H_2O2NO+2H2​→N2​+2H2​O is second order in NONONO and first order in H2H_2H2​.

So the stored answer appears to be incorrect.

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