Q26 / 90 · JEE Main 2021 (26 Feb Shift 1) · Chemistry

A homogeneous ideal gaseous reaction ${AB}_{2 (g)} ⇌ A_{(g)} + 2 B_{(g)}$ is carried out in a $25 litre$ flask at $27 ° C$ . The initial amount of ${AB}_{2}$ was $1$ mole and the equilibrium pressure was $1.9 atm$ . The value of $K_{p}$ is $x \times 10^{- 2}$ . The value of $x$ is (Integer answer) $[R = 0.08206 {dm}^{3} atm K^{- 1} {mol}^{- 1}]$

Correct answer: 73

Solution

$\begin{array}{l} {AB}_{2} \\ 1 \\ 1 - α \\ 0.535 \end{array} \begin{matrix} ⇌ \end{matrix} \begin{array}{c} A \\ α \\ 0.465 \end{array} \begin{matrix} + & 2 B \\ 2 α \\ 0.9 \end{matrix}$

$1.9 \times 25 = n_{T} \times 0.08206 \times 300$

$n_{T} = 1.93 = 1 + 2 α$

$α = 0.465$

$Kp = \frac{(\frac{0.465}{1.93} \times 19) {(\frac{0.93}{1.93} \times 1.9)}^{2}}{(\frac{0.535}{1.93} \times 1.9)}$

$≃ 73 \times 10^{- 2} {atm}^{2}$

Hence, the correct answer is 73.

Relevant Questions

Consider the following reactions in which all the reactants and products are present in gaseous state The value of for the equilibrium is:08 Apr, 2026 (E)Law of Mass Action, Equilibrium Constant (Kc and Kp) and its Application
Solid carbon, CaO and CaCO are mixed and allowed to attain equilibrium at T K. atm atm The partial pressure of CO is ________ atm08 Apr, 2026 (E)Law of Mass Action, Equilibrium Constant (Kc and Kp) and its Application
One mole each of He and are taken in a L closed flask and heated to K to establish the following equilibrium. . for this reaction at K is . 06 Apr, 2026 (M)Law of Mass Action, Equilibrium Constant (Kc and Kp) and its Application
In a closed flask at K, one mole of X Y (g) attains equilibrium as given below : At equilibrium, X Y (g) was dissociated and the total press06 Apr, 2026 (E)Law of Mass Action, Equilibrium Constant (Kc and Kp) and its Application
The values of pressure equilibrium constant recorded at different temperatures for the following equilibrium reaction have been given below 05 Apr, 2026 (M)Law of Mass Action, Equilibrium Constant (Kc and Kp) and its Application
The reaction was initiated with the amount ' ' of . At equilibrium it is found that the amount of remaining is at a total pressure of . The 05 Apr, 2026 (E)Law of Mass Action, Equilibrium Constant (Kc and Kp) and its Application

A homogeneous ideal gaseous reaction AB2g⇌Ag+2 Bg is carried out in a 25 litre flask at 27°C. The initial amount of AB2 was 1 mole and the equilibrium pressure was 1.9 atm. The value of Kp is x×10-2. The value of x is (Integer answer) R=0.08206 dm3 atm K-1 mol-1

Solution

Relevant Questions