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Question: \(K _ { c }\) for the reaction \(A ( g ) + B ( g )\) ⇌ 2*C*(*g*) is 3.0 at 400*K*. In an experimen...

KcK _ { c } for the reaction A(g)+B(g)A ( g ) + B ( g ) ⇌ 2C(g) is 3.0 at 400K. In an experiment “amol of A is mixed with 3 mol of B in a 1-L vessel. At equilibrium 3 mol of C is formed. The value of ‘a’ will be,

A

4.5 mol

B

9.5 mol

C

2.5 mol

D

3.5mol

Answer

2.5 mol

Explanation

Solution

2C(g)2 \mathrm { C } ( \mathrm { g } ) 0 2 x

From the equation, 2x = 3 ⇒ x = 1.5

Kc=4x2(ax)(bx)K _ { c } = \frac { 4 x ^ { 2 } } { ( a - x ) ( b - x ) }; 3=4×(1.5)2(a1.5)(31.5)3 = \frac { 4 \times ( 1.5 ) ^ { 2 } } { ( a - 1.5 ) ( 3 - 1.5 ) };

3=4×2.25(a1.5)(1.5)3 = \frac { 4 \times 2.25 } { ( a - 1.5 ) ( 1.5 ) }a = 3.5