Chemical EquilibriumHard
Question
For the reaction 2NO(g) + Cl2(g) $\rightleftharpoons$2NOCl(g), NO and Cl2 are initially taken in mole ratio of 2: 1. The total pressure at equilibrium is found to be 1 atm. If the moles of NOCl are one-fourth of that of Cl2 at equilibrium, the value of KP for the reaction is
Options
A.13/36
B.13/256
C.13/512
D.13/128
Solution
2NO(g) + Cl2(g) $\rightleftharpoons$ 2NOCl(g)
Initial partial pressure 2P0 P0 0
Equ. partial pressure 2P0 – 2x P0 – x 2x
From question, (2P0 – 2x) + (P0 – x) + 2x = 1
⇒ 3P0 – x = 1 (1)
and $2x = \frac{1}{4}\left( P_{0} - x \right)$ (2)
From (1) and (2), P0 = 9x and x = 1/26
$\therefore K_{p} = \frac{(2x)^{2}}{\left( 2P_{0} - 2x \right)^{2}\left( P_{0} - x \right)} = \frac{13}{256}\text{at}\text{m}^{- 1}$
Create a free account to view solution
View Solution FreeMore Chemical Equilibrium Questions
The reactions PCl5(g) ⇋ PCl3(g) + Cl2(g) and COCl2(g) ⇋ CO(g) + Cl2(g) are simultaneously in equilibrium at ...The correct relationship between free energy change in a reaction and the corresponding equilibrium constant K is...The equilibrium constant for the reaction: H3BO3 + Glycerin$\rightleftharpoons$ (H3BO3 + Glycerin complex) is 0.90. How ...XY2 dissociates XY2(g) ⇋ XY(g) + Y(g). When the initial pressure of XY2 is 600 mm Hg, the total equilibrium pressu...I2 + I−$\rightleftharpoons$I3−. This reaction is set up in aqueous medium. We start with 1 mol of I2 and 0.5 mol of I¯ i...