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Q. A homogeneous ideal gaseous reaction $AB _{2( g )} \rightleftharpoons A _{( g )}+2 B _{( g )}$ is carried out in a 25 litre flask at $27^{\circ} C$. The initial amount of $AB _{2}$ was 1 mole and the equilibrium pressure was $1.9\,atm$ The value of $K _{ P }$ is $x \times 10^{-2} $ The value of $x$ is _____.(Integer answer)

JEE MainJEE Main 2021Equilibrium

Solution:

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$1.9 \times 25= n _{ T } \times 0.08206 \times 300$

$n _{ T }=1.93=1+2 \alpha$

$\alpha=0.465$

$Kp =\frac{\left(\frac{0.465}{1.93} \times 19\right)\left(\frac{0.93}{1.93} \times 1.9\right)^{2}}{\left(\frac{0.535}{1.93} \times 1.9\right)}$

$\simeq 73 \times 10^{-2} atm ^{2}$