Question

In a closed system, $A ( s ) \rightleftharpoons 2 B ( g )+3 C ( g )$, if partial pressure of $C$ is doubled, then partial pressure of $B$ will be

• A. $2 \sqrt{2}$ times the original value
• B. $\frac{1}{2}$ times the original value
• C. 2 times the original value
• D. $\frac{1}{2 \sqrt{2}}$ times the original value

Answer 1

Answer: (D)

$K_{p}=p_{B_{1}}^{3} \times p_{C_{1}}^{3}$
Again, $K_{p}=p_{B_{2}}^{2} \times\left(2 p_{C_{1}}\right)^{3}$
$\therefore p_{B_{1}}^{2} \times p_{C_{1}}^{3}=P_{B_{2}}^{2} \times 8 p_{C_{1}}^{3}$
$\therefore \frac{p_{B_{1}}^{2}}{8}=p_{B_{2}}^{2}, \frac{p_{B_{1}}}{2 \sqrt{2}}=p_{B_{2}}$