JEE MAIN - Chemistry (2021 - 26th August Evening Shift - No. 14)

The equilibrium constant Kc at 298 K for the reaction A + B $$\rightleftharpoons$$ C + D is 100. Starting with an equimolar solution with concentrations of A, B, C and D all equal to 1M, the equilibrium concentration of D is ___________ $$\times$$ 10$$-$$2 M. (Nearest integer)
Answer
182

Explanation

JEE Main 2021 (Online) 26th August Evening Shift Chemistry - Chemical Equilibrium Question 44 English Explanation

$$\therefore$$ $${K_C} = {\left( {{{1 + x} \over {1 - x}}} \right)^2}$$

$$100 = {\left( {{{1 + x} \over {1 - x}}} \right)^2}$$

$${{1 + x} \over {1 - x}} = 10$$

$$x = {9 \over {11}}$$

Moles of D = 1 + x

$$ = 1 + {9 \over {11}} = {{20} \over {11}}$$

$$ = 1.818 = 181.8 \times {10^{ - 2}} = 181.8 \times {10^{ - 2}}$$

$$ \cong 182 \times {10^{ - 2}}$$ M

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