One mole of A and 2 moles of B are allowed to react in a 0.5 lit flask. What is the value of Kc? if at equilibirum, 0.4 moles of C is formed in the reaction. A+2B⇔C+2D
4/9
9/4
8/27
27/8
A
27/8
B
4/9
C
8/27
D
9/4
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Solution
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The expression for the equilibrium constant is A+2B⇔C+2D. The expression for the equilibrium constant is [C][D]2[A][B]. The following table lists the equilibrium concentration of various species.
A
B
C
D
Initial
1
2
0
0
Change
-x
-2x
x
2x
Equilibrium
1-x
2-2x
x
2x
But [C]=0.4=x. Hence, the number of moles of A,B,C and D in 0.5 L are 06,1.2,0.4 and 0.8 respectively. The molar concentrations of A,B,C and D are 1.2, 2.4, 0.8 and 1.6 respectively. Substitute the values in the expression for the equilibrium constant. Kc=0.8×(1.6)21.2×(2.4)2=827.
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