Question

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

• A. Two times the original pressure
• B. One half of its original value
• C. $\frac{1}{2\sqrt{2}}$times to the original value
• D. 2$\sqrt{2}$ times to the original value

Answer 1

Answer: (C)

$\frac{1}{2\sqrt{2}}$times to the original value

Answer 2

K_p = (2p)² ื (3p)³ = 27 ื 4 p⁵ where p is the original press.

A (s) $\rightleftarrows$ 2B (g) + 3C

p^ข 6p

\ (p^ข)² ื (6p)³ = 27 ื 4p⁵

or (p^ข)² =$\frac{27 \times 4p^{5}}{3^{3} \times 2^{3}p^{3}}$ = $\frac{p^{2}}{2}$

\ p^ข = $\frac{p}{\sqrt{2}}$ = final partial press.of B

\ $\frac{p^{'}}{2p}$ = $\frac{finalpartialpressofB}{initialpartialpressofB}$ = $\frac{p}{2\sqrt{2}p}$

= $\frac{1}{2\sqrt{2}}$