A reaction vessel is charged with 0.50 atm of A and 0.590 atm of B. Once the reaction reaches equilibrium, what is the equilibrium partial pressure of B? Kp for this reaction is 67.2 A (g) = 2 B (g)

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Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
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**Equilibrium Partial Pressure Calculation**

**Scenario:**

A reaction vessel contains gases A and B. Initially, the pressure of gas A is 0.50 atm, and the pressure of gas B is 0.590 atm. 

The reaction of interest is:
\[ \text{A (g) } \rightleftharpoons 2 \text{ B (g)} \]

**Problem:**

Determine the equilibrium partial pressure of B. The equilibrium constant (Kp) for this reaction is 67.2.

**Procedure:**

1. **Initial Conditions:**
   - Pressure of A: 0.50 atm
   - Pressure of B: 0.590 atm

2. **Calculator Interface:**
   - A numerical keypad is shown to compute the required values, with operations including addition, multiplication, and clear/reset functions.

3. **Objective:**
   - Use the equilibrium expression for the reaction and given Kp to solve for the equilibrium partial pressures of A and B. 

\[
K_p = \frac{{(P_B)^2}}{{P_A}}
\]

Given the initial and equilibrium data, set up the equation to find the changes in pressure and solve for the unknowns.
Transcribed Image Text:**Equilibrium Partial Pressure Calculation** **Scenario:** A reaction vessel contains gases A and B. Initially, the pressure of gas A is 0.50 atm, and the pressure of gas B is 0.590 atm. The reaction of interest is: \[ \text{A (g) } \rightleftharpoons 2 \text{ B (g)} \] **Problem:** Determine the equilibrium partial pressure of B. The equilibrium constant (Kp) for this reaction is 67.2. **Procedure:** 1. **Initial Conditions:** - Pressure of A: 0.50 atm - Pressure of B: 0.590 atm 2. **Calculator Interface:** - A numerical keypad is shown to compute the required values, with operations including addition, multiplication, and clear/reset functions. 3. **Objective:** - Use the equilibrium expression for the reaction and given Kp to solve for the equilibrium partial pressures of A and B. \[ K_p = \frac{{(P_B)^2}}{{P_A}} \] Given the initial and equilibrium data, set up the equation to find the changes in pressure and solve for the unknowns.
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