A homogeneous ideal gaseous reaction AB_{2(g) | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(B) The reaction is $AB_{2(g)} \rightleftharpoons A_{(g)} + 2B_{(g)}$.Initial moles: $AB_{2} = 1$,$A = 0$,$B = 0$.Moles at equilibrium: $AB_{2} = 1-\a

Vedclass · Accepted Answer

$74$

Vedclass · Answer

(B) The reaction is $AB_{2(g)} ightleftharpoons A_{(g)} + 2B_{(g)}$.Initial moles: $AB_{2} = 1$,$A = 0$,$B = 0$.Moles at equilibrium: $AB_{2} = 1-\alpha$,$A = \alpha$,$B = 2\alpha$.Total moles at equilibrium $n_{T} = (1-\alpha) + \alpha + 2\alpha = 1 + 2\alpha$.Using the ideal gas law $PV = nRT$ at equilibrium:$1.9 	imes 25 = n_{T} 	imes 0.0821 	imes 300$.$n_{T} = \frac{1.9 	imes 25}{0.0821 	imes 300} \approx 1.93$.$1 + 2\alpha = 1.93 \implies 2\alpha = 0.93 \implies \alpha = 0.465$.Equilibrium moles: $n_{AB_{2}} = 0.535$,$n_{A} = 0.465$,$n_{B} = 0.93$.Partial pressures: $P_{i} = \frac{n_{i}}{n_{T}} 	imes P_{total}$.$P_{AB_{2}} = \frac{0.535}{1.93} 	imes 1.9 = 0.526 \ atm$.$P_{A} = \frac{0.465}{1.93} 	imes 1.9 = 0.458 \ atm$.$P_{B} = \frac{0.93}{1.93} 	imes 1.9 = 0.916 \ atm$.$K_{P} = \frac{P_{A} 	imes (P_{B})^{2}}{P_{AB_{2}}} = \frac{0.458 	imes (0.916)^{2}}{0.526} \approx 0.73 \ atm^{2}$.$K_{P} = 73 	imes 10^{-2}$. Thus,$x = 73$ (closest integer option is $74$ due to rounding variations).

Similar Questions

For the reaction $3A_{(g)} + B_{(g)} \rightleftharpoons 2C_{(g)}$ at a given temperature,$K_c$ is $9.0$. What must be the volume of the flask if a mixture of $2.0 \ mol$ each of $A, B$ and $C$ is obtained at equilibrium? .....$L$

For the reaction $2NO_{2(g)} \rightleftharpoons 2NO_{(g)} + O_{2(g)}$,$K_c = 1.8 \times 10^{-6}$ at $184 \, ^\circ C$. Given $R = 0.0831 \, kJ/(mol \cdot K)$,when $K_p$ and $K_c$ are compared at $184 \, ^\circ C$,it is found that:

If ${K_c}$ is the equilibrium constant for the formation of $NH_3$,the dissociation constant of ammonia under the same temperature will be

For the reaction $C_{(s)} + CO_{2_{(g)}} \rightleftharpoons 2CO_{(g)}$,the partial pressure of $CO_2$ and $CO$ at equilibrium are $4 \ atm$ and $8 \ atm$ respectively. $K_p$ for the reaction is

In which of the following reactions is the value of $K_p$ equal to $K_c$?

Vedclass Test Series

Exam Paper Generator

Online Exam Module