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JEE Main 202311 AprilMorning Shift
Exam
JEE Main
Year
2023
Date
11 April
Shift
Morning Shift
Subject
Chemistry
Chapter
Chemical Equilibrium

JEE Main 2023 · 11 April · Morning Shift · Chemistry · Chemical Equilibrium

A mixture of one mole of H _ 2 O and 1 mole of CO is taken in a...

A mixture of one mole of H2O{H}_{2}O and 1 mole of COCO is taken in a 10litre10litre container and heated to 725K725K. At equilibrium 4040 % of water by mass reacts with carbon monoxide according to the equation: CO(g)+H2O(g)⇌CO2(g)+H2(g)CO\left(g\right) + {H}_{2}O\left(g\right)⇌{CO}_{2}\left(g\right) + {H}_{2}\left(g\right). The equilibrium constant KC×102{K}_{C} \times {10}^{2} for the reaction is ________ (Nearest integer)

Correct answer

0

Step-by-step solution

CO(g)+H2O(g)⇌CO2(g)+H2(g)initialmoles11molesatequilibrium1−0.41−0.40.40.4Molarity0.6/100.6/100.4/100.4/10CO ( g ) + {H}_{2}O ( g ) ⇌ {CO}_{2} ( g ) + {H}_{2} ( g ) initialmoles11molesatequilibrium1 - 0 . 41 - 0 . 40 . 40 . 4Molarity0 . 6 / 100 . 6 / 100 . 4 / 100 . 4 / 10

Now, the equilibrium constant KC=[CO2][H2][CO][H2O]{K}_{C} = \dfrac{\left[{CO}_{2}\right]\left[{H}_{2}\right]}{\left[CO\right]\left[{H}_{2}O\right]}

⇒KC=0.04×0.040.06×0.06=0.44⇒ {K}_{C} = \dfrac{0 . 04 \times 0 . 04}{0 . 06 \times 0 . 06} = 0 . 44

∴Kc×102=44∴ {K}_{c} \times {10}^{2} = 44

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