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QJEEM21Ch87dc: JEE Main 2021 Chemistry - Class 11 JEEM21Ch87dc Solution: For the reaction A + B 2C the value of equilibrium constant is…

For the reaction

A + B ⇌\rightleftharpoons 2C

the value of equilibrium constant is 100 at 298 K. If the initial concentration of all the three species is 1 M each, then the equilibrium concentration of C is x ×\times 10 −- 1 M. The value of x is ____________. (Nearest integer)

Step-by-Step Verified Solution

JEE Main 2021 (Online) 25th July Morning Shift Chemistry - Chemical Equilibrium Question 49 English Explanation

K=[C]eq2[A]eq[B]eq=(1+2x)2(1−x)(1−x)K = {{[C]_{eq}^2} \over {{{[A]}_{eq}}{{[B]}_{eq}}}} = {{{{(1 + 2x)}^2}} \over {(1 - x)(1 - x)}}

100=(1+2x1−x)2100 = {\left( {{{1 + 2x} \over {1 - x}}} \right)^2}

(1+2x1−x)=10\left( {{{1 + 2x} \over {1 - x}}} \right) = 10

x=34x = {3 \over 4}

[C]eq.=1+2x[C]{e_{q.}} = 1 + 2x

=1+2(34)= 1 + 2\left( {{3 \over 4}} \right)

= 2.5 M

= 25 ×\times 10-1 M

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