Question

Consider the general hypothetical reaction $A\left(s\right)\rightleftharpoons 2B\left(g\right)+3C\left(g\right)$
If the partial pressure of $C$ at equilibrium is doubled, then after the equilibrium is re-established, the partial pressure of $B$ will be:

• A. two times the original value
• B. one half of its original value
• C. $1/2\sqrt{2}$ times the original value
• D. $2\sqrt{2}$ times the original value

Answer 1

Answer: (C)

$1/2\sqrt{2}$ times the original value

$K_P=P_C^3\times P_B^2$

Also, $K_P=P_C^{13}\times P_B^{12}$

$P_C^{\prime }=2P_C$

$⟹8P_C^3\times P_B^{\prime 2}=P_C^3\times P_B^2$

$\therefore P_B^{\prime }=\frac{P_B}{2\sqrt{2}}=\frac{1}{2\sqrt{2}}$ times the original value.