$2\mathrm{NO}+2{H}_{2}\rightarrow {N}_{2}+2{H}_{2}O$ The above reaction has been studied at $800^{\circ}C$. The related data are given in the table below Reaction serial number Initial pressure of${H}_{2}/\mathrm{kPa}$ Initial Pressure of $\mathrm{NO}/\mathrm{kPa}$ Initial rate $(\frac{-\mathrm{dp}}{\mathrm{dt}})/(\mathrm{kPa}/s)$ $1$ $65.6$ $40.0$ $0.135$ $2$ $65.6$ $20.1$ $0.033$ $3$ $38.6$ $65.6$ $0.214$ $4$ $19.2$ $65.6$ $0.106$ The order of the reaction with respect to NO is____

JEE Main 2022 — Chemistry Physical Chemistry

2022integerhard

$2\mathrm{NO}+2{H}_{2}\rightarrow {N}_{2}+2{H}_{2}O$

The above reaction has been studied at $800^{\circ}C$ . The related data are given in the table below

Reaction serial number	Initial pressure of ${H}_{2}/\mathrm{kPa}$	Initial Pressure of $\mathrm{NO}/\mathrm{kPa}$	Initial rate $(\frac{-\mathrm{dp}}{\mathrm{dt}})/(\mathrm{kPa}/s)$
$1$	$65.6$	$40.0$	$0.135$
$2$	$65.6$	$20.1$	$0.033$
$3$	$38.6$	$65.6$	$0.214$
$4$	$19.2$	$65.6$	$0.106$

The order of the reaction with respect to NO is____

Official previous-year question

Held on 27 Jul 2022 · Verified 6 Jul 2026.

Did you get this right?

Solution

The rate law for the reaction $2\mathrm{NO}+2{H}_{2}\rightarrow {N}_{2}+2{H}_{2}O$ is

$r=k{[{H}_{2}]}^{m}{[\mathrm{NO}]}^{n}$

The powers of the concentration terms m, n are the order with respect to hydrogen and nitric oxide respectively.

${r}_{1}={[65.6]}^{m}{[40.0]}^{n}=0.135 {r}_{2}={[65.6]}^{m}{[20.1]}^{n}=0.033 {r}_{3}={[38.6]}^{m}{[65.6]}^{n}=0.214 {r}_{4}={[19.2]}^{m}{[65.6]}^{n}=0.106$

$\frac{{r}_{1}}{{r}_{2}}=\frac{{[65.6]}^{m}{[40.0]}^{n}}{{[65.6]}^{m}{[20.1]}^{n}}=\frac{0.135}{0.033}=4 \Rightarrow {2}^{n}=4 \Rightarrow n=2$

Hence, the order with respect to $\mathrm{NO}$ is $2.$

Your note

JEE Main Physical Chemistry in other years

Physical Chemistry 2026 Physical Chemistry 2025 Physical Chemistry 2024 Physical Chemistry 2023 Physical Chemistry 2021 Physical Chemistry 2020 Physical Chemistry 2019 Physical Chemistry 2018 Physical Chemistry 2017 Physical Chemistry 2016 Physical Chemistry 2015 Physical Chemistry 2014

Keep practicing Physical Chemistry

Work through every JEE Main Physical Chemistry PYQ, year by year.

Browse all Chemistry topics

JEE Main 2022 — Chemistry Physical Chemistry

2022integerhard

$2\mathrm{NO}+2{H}_{2}\rightarrow {N}_{2}+2{H}_{2}O$

The above reaction has been studied at $800^{\circ}C$ . The related data are given in the table below

Reaction serial number	Initial pressure of ${H}_{2}/\mathrm{kPa}$	Initial Pressure of $\mathrm{NO}/\mathrm{kPa}$	Initial rate $(\frac{-\mathrm{dp}}{\mathrm{dt}})/(\mathrm{kPa}/s)$
$1$	$65.6$	$40.0$	$0.135$
$2$	$65.6$	$20.1$	$0.033$
$3$	$38.6$	$65.6$	$0.214$
$4$	$19.2$	$65.6$	$0.106$

The order of the reaction with respect to NO is____

Official previous-year question

Held on 27 Jul 2022 · Verified 6 Jul 2026.

Did you get this right?

Solution

The rate law for the reaction $2\mathrm{NO}+2{H}_{2}\rightarrow {N}_{2}+2{H}_{2}O$ is

$r=k{[{H}_{2}]}^{m}{[\mathrm{NO}]}^{n}$

The powers of the concentration terms m, n are the order with respect to hydrogen and nitric oxide respectively.

${r}_{1}={[65.6]}^{m}{[40.0]}^{n}=0.135 {r}_{2}={[65.6]}^{m}{[20.1]}^{n}=0.033 {r}_{3}={[38.6]}^{m}{[65.6]}^{n}=0.214 {r}_{4}={[19.2]}^{m}{[65.6]}^{n}=0.106$

$\frac{{r}_{1}}{{r}_{2}}=\frac{{[65.6]}^{m}{[40.0]}^{n}}{{[65.6]}^{m}{[20.1]}^{n}}=\frac{0.135}{0.033}=4 \Rightarrow {2}^{n}=4 \Rightarrow n=2$

Hence, the order with respect to $\mathrm{NO}$ is $2.$

Your note

JEE Main Physical Chemistry in other years

Keep practicing Physical Chemistry

Work through every JEE Main Physical Chemistry PYQ, year by year.

Browse all Chemistry topics

JEE Main 2022 — Chemistry Physical Chemistry

Did you get this right?

Solution

Your note

JEE Main Physical Chemistry in other years

More JEE Main Physical Chemistry questions

Other Chemistry topics for JEE Main

Organic Chemistry

Inorganic Chemistry

Keep practicing Physical Chemistry

JEE Main 2022 — Chemistry Physical Chemistry

Did you get this right?

Solution

Your note

JEE Main Physical Chemistry in other years

More JEE Main Physical Chemistry questions

Other Chemistry topics for JEE Main

Organic Chemistry

Inorganic Chemistry

Keep practicing Physical Chemistry