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JEE Main 202126 AugustEvening Shift
Exam
JEE Main
Year
2021
Date
26 August
Shift
Evening Shift
Subject
Chemistry
Chapter
Thermodynamics (C)

JEE Main 2021 · 26 August · Evening Shift · Chemistry · Thermodynamics (C)

The equilibrium constant K _ c at 298K for the reaction A + B ⇌ C +...

The equilibrium constant Kc{K}_{c} at 298K298K for the reaction
A+B⇌C+DA + B ⇌ C + D is 100.100 . Starting with an equimolar solution with concentrations of A,B,CA, B, C and DD all equal to 1M1M, the equilibrium concentration of DD is _____×10−2M\times {10}^{- 2}M. (Nearest integer)The equilibrium constant K _ c at 298K for the reaction A + B ⇌ C + D is 100 . Starting with an equimolar solution with

Correct answer

0

Step-by-step solution

The equilibrium constant K _ c at 298K for the reaction A + B ⇌ C + D is 100 . Starting with an equimolar solution with

KC=[1+x1−x]2=100{K}_{C} = {\left[\dfrac{1 + x}{1 - x}\right]}^{2} = 100

=1+x1−x=10= \dfrac{1 + x}{1 - x} = 10

=1+x=10−10x= 1 + x = 10 - 10x

11x=911x = 9

x=[911]x = \left[\dfrac{9}{11}\right]

[D]=[1+911]=[2011]=1.818=1.82M(approx)⇒182×10−2M[ D ]= \left[1 + \dfrac{9}{11}\right] = \left[\dfrac{20}{11}\right] = 1 . 818 = 1 . 82M ( approx ) ⇒ 182 \times {10}^{- 2}M

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