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At a certain temperature the equilibrium...

At a certain temperature the equilibrium constant `K_c` is 0.25 for the reaction `A_(2(g))+B_(2(g)) harr C_(2(g))+D_(2(g))` If we take 1 mole of each of the four gases in a 10 litre container, what would be equilibrium concentration of `A_(2(g))`?

A

0.331 M

B

0.033 M

C

0.133 M

D

1.33 M

Text Solution

Verified by Experts

The correct Answer is:
C
`A_(2)+B_(2) harr C_(2)+D_(2)`
at t=0, `0.1" "0.1" "0.1" "0.1`
`Q=1 gt Kimplies` reaction proceeds backward at eqm `0.1+x" "0.1-x" "0.1-x`
`K=(1)/(4)=((0.1-x)^(2))/((0.1+x)^(2)) implies (1)/(2)=(0.1-x)/(0.1+x) implies x=(0.1)/(3)`
`implies [A]_("eqm")=0.1+(0.1)/(3)=(0.4)/(3)=0.133M`
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