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JEE Main 202116 MarchMorning Shift
Exam
JEE Main
Year
2021
Date
16 March
Shift
Morning Shift
Subject
Chemistry
Chapter
Chemical Equilibrium

JEE Main 2021 · 16 March · Morning Shift · Chemistry · Chemical Equilibrium

For the reaction A(g) ⇌ B(g) at 495K , Δ _ r G ^ ° = - 9 . 478kJ...

For the reaction A(g)A\left(g\right) ⇌ B(g)B\left(g\right) at 495K495K, ΔrG°=−9.478kJmol−1{\Delta}_{r}{G}^{°} = - 9 . 478kJ{mol}^{- 1}

If we start the reaction in a closed container at 495K495K with 2222 millimoles of A,theamountof, the amount ofBis the equilibrium mixture is ________ millimoles. (Round off to the Nearest Integer).</p><p>\left[R = 8 . 314J{mol}^{- 1}{K}^{- 1}; ℓn10 = 2 . 303\right]

Correct answer

0

Step-by-step solution

ΔG°=−RTℓnKeq\Delta G ° = - {RTℓnK}_{eq}

Given ΔG°=−9.478KJ/mole\Delta G ° = - 9 . 478KJ / mole

T=495KR=8.314Jmol−1T = 495KR = 8 . 314J{mol}^{- 1}

So −9.478×103=−495×8.314×ℓnKeq- 9 . 478 \times {10}^{3} = - 495 \times 8 . 314 \times ℓ{nK}_{eq}

ℓnKeq=2.303ℓ{nK}_{eq} = 2 . 303

=ℓn10= ℓn10

So Keq=10{K}_{eq} = 10

Now {A(g)⇌B(g)t=0220t=022−xx\begin{cases} & A\left(g\right) & ⇌ & B\left(g\right) \\ t = 0 & 22 & & 0 \\ t = 0 & 22 - x & & x\end{cases}

Keq=[B][C]=x22−x=10{K}_{eq} = \dfrac{\left[B\right]}{\left[C\right]} = \dfrac{x}{22 - x} = 10

or x=20x = 20

So millimoles of B=20B = 20

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