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In a chemical reaction , A+2Boverset(K)...

In a chemical reaction , `A+2Boverset(K)hArr2c+D,` the initial concentration of B was 1.5 times of the concentrations of A , but the equilibrium concentrations of A and B were found to be equal . The equilibrium constant (K) for the aforesaid chemical reaction is :

A

1

B

16

C

`1/4`

D

4

Text Solution

Verified by Experts

The correct Answer is:
D
`A + 2B rarr 2C + D`
At equilibrium, `implies a-x = 1.5a - 2x implies 0.5a = x`
`implies a=2x implies K_(c) = (2x)^(2)xx x/((a-x)(1.5a - 2x)^(2)) = 4x^(3)/ x xx x^(2) = 4`
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