Competishun Header

Report Issue

JEE MAIN 2025
08-04-2025 S2
Question
The equilibrium constant for decomposition of $\mathrm{H}_2 \mathrm{O}$ (g)
$\mathrm{H}_2 \mathrm{O}(\mathrm{g}) \rightleftharpoons \mathrm{H}_2(\mathrm{~g})+\frac{1}{2} \mathrm{O}_2(\mathrm{~g})\left(\Delta \mathrm{G}^{\circ}=92.34 \mathrm{~kJ} \mathrm{~mol}^{-1}\right)$
is $8.0 \times 10^{-3}$ at 2300 K and total pressure at equilibrium is 1 bar. Under this condition, the degree of dissociation $(\alpha)$ of water is ________ $\times 10^{-2}$ (nearest integer value).
[Assume $\alpha$ is negligible with respect to 1 ]
Write Your Answer
✓ Correct! Well done.
✗ Incorrect. Try again or view the solution.
Solution
$\begin{aligned} & \mathrm{H}_2 \mathrm{O}(\mathrm{g}) f \quad \mathrm{H}_{2(\mathrm{x})}+\frac{1}{2} \mathrm{O}_{2(\mathrm{a})} \\ & \mathrm{t}=0 \quad 1 \mathrm{~mole} \\ & \mathrm{t}=\mathrm{t}_{\mathrm{eq}} \quad 1-\alpha \quad \alpha \quad \frac{\alpha}{2} \\ & \mathrm{n}_{\mathrm{T}}=1+\frac{\alpha}{2} ; \mathrm{l}(\alpha-1) \\ & \mathrm{k}_p=\frac{\mathrm{P}_{\mathrm{H}_2} \cdot \mathrm{P}_{\mathrm{O}_3}^{1 / 2}}{\mathrm{P}_{11 / 0} \quad(\alpha \cdot \mathrm{P})\left(\frac{\alpha}{2} \mathrm{P}\right)^{\frac{1}{2}}} \frac{(1-\alpha) \mathrm{P}}{\mathrm{P}=1} \\ & 8 \times 10^{-3}=\frac{\alpha^{1 / 2}}{\sqrt{2}} \\ & \alpha^{3 / 2}=8 \sqrt{2} \times 10^{-3} \\ & \alpha^3=128 \times 10^{-6} \\ & \alpha=\sqrt[3]{128} \times 10^{-2} \\ & =5.03 \times 10^{-2}\end{aligned}$
Question Tags
JEE Main
Chemistry
Hard
Start Preparing for JEE with Competishun
Filters 0
JEE Main
JEE Advance
Easy
Medium
Hard
Showing 18 questions
Q JEE MAIN 20262026
Given below are two statements
Statement I: $\mathrm{H}_2 \mathrm{O}$ molecules move from the chamber 1 to chamber 2 .
Statement II:...
JEE MainChemistryMedium
View Solution→
QJEE MAIN 20212021
Which of the following molecules does not show stereo isomerism ?
JEE MainChemistryEasy
View Solution→
QJEE MAIN 2021 2021
Given below are two statements :
Statement-I : α and β forms of sulphur can change reversibly between themselves with...
JEE MainChemistryEasy
View Solution→
QJEE MAIN 20212021
Which one of the following statements is not true about enzymes ?
JEE MainChemistryEasy
View Solution→
Q JEE MAIN 20212021
The solubility product of $\mathrm{Pbl}_2$ is $8.0 \times 10^{-9}$. The solubility of lead iodide in 0.1 molar solution of lead...
JEE MainChemistryHard
View Solution→
QJEE MAIN 20222022
In Carius method of estimation of halogen. 0.45 g of an organic compound gave 0.36 g of AgBr. Find out...
JEE MainChemistryEasy
View Solution→
QJEE MAIN 20232023
The number of units, which are used to express concentration of solutions from the following is _______.
Mass percent,...
JEE MainChemistryEasy
View Solution→
QJEE MAIN 20222022
250 g solution of D-glucose in water contains 10.8% of carbon by weight. The molality of the solution is nearest...
JEE MainChemistryHard
View Solution→
QJEE MAIN 2019 2019
A compound ' $X$ ' on treatment with $\mathrm{Br}_2 / \mathrm{NaOH}$, provided $\mathrm{C}_3 \mathrm{H}_9 \mathrm{~N}$, which gives positive carbylamine test....
JEE MainChemistryMedium
View Solution→
QJEE MAIN 20232023
In the following reaction, 'A' is
JEE MainChemistryMedium
View Solution→
QJEE MAIN 20212021
Which one of the following reactions does not occur ?
JEE MainChemistryEasy
View Solution→
QJEE MAIN 2021 2021
The major products A and B formed in the following reaction sequence are :
JEE MainChemistryEasy
View Solution→
QJEE MAIN 2021 2021
Correct statement about the given chemical reaction is :
JEE MainChemistryEasy
View Solution→
QJEE MAIN 2021 2021
Carbylamine test is used to detect the presence of primary amino group in an organic compound. Which of the following...
JEE MainChemistryEasy
View Solution→
QJEE-MAIN 20202020
Three isomers A. B and C (mol. formula $\mathrm{C}_2 \mathrm{H}_7, \mathrm{~N}$ ) give the following results
JEE MainChemistryEasy
View Solution→
QJEE MAIN 20212021
In the chemical reactions given above A and B respectively are :
JEE MainChemistryEasy
View Solution→
QJEE MAIN 2019 2019
Benzene diazonium chloride on reaction with aniline in the presence of dilute hydrochloric acid gives :
JEE MainChemistryEasy
View Solution→
QJEE MAIN 20222022
Stability of $\alpha$ - Helix structure of proteins depends upon
JEE MainChemistryEasy
View Solution→