### Decomposition of Hydrogen Sulfide (H₂S)At a certain temperature, the equilibrium constant \( K_p \) for the decomposition of H₂S is 0.846.\[ \text{H}_2\text{S(g)} \rightleftharpoons \text{H}_2\text{(g)} + \text{S(g)} \]Initially, only H₂S is present at a pressure of 0.188 atm in a closed container. The task is to determine the total pressure in the container at equilibrium.### Calculation of Total Pressure at EquilibriumGiven data:- Initial pressure of H₂S: \( P_{\text{H}_2\text{S, initial}} = 0.188 \text{ atm} \)- Equilibrium constant: \( K_p = 0.846 \)At equilibrium, let the change in pressure of H₂S be \( -x \) atm. For each mole of H₂S that decomposes, 1 mole of H₂ and 1 mole of S are produced.### Change in Pressures:- H₂S: \( 0.188 - x \) atm- H₂: \( x \) atm- S: \( x \) atmUsing the equilibrium expression for \( K_p \):\[ K_p = \frac{(P_{\text{H}_2})(P_{\text{S}})}{(P_{\text{H}_2\text{S}})} \]Substitute the equilibrium pressures into the expression:\[ 0.846 = \frac{(x)(x)}{0.188 - x} \]\[ 0.846 = \frac{x^2}{0.188 - x} \]Solve for \( x \) to find the equilibrium pressure change.Finally, calculate the total pressure in the container at equilibrium:\[ P_{\text{total}} = (0.188 - x) + x + x \]\[ = 0.188 + x \]Enter the value:\[ P_{\text{total}} = \_\_\_\_ \text{ atm} \]This interactive problem helps in understanding chemical equilibrium and partial pressures in gas-phase reactions.

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At a certain temperature, the K, for the decomposition of H, S is 0.846. H,S(g) = H,(g)+S(g) Initially, only H, S is present at a pressure of 0.188 atm in a closed container. What is the total pressure in the container at equilibrium? Ptotal = atm

At a certain temperature, the K, for the decomposition of H, S is 0.846. H,S(g) = H,(g)+S(g) Initially, only H, S is present at a pressure of 0.188 atm in a closed container. What is the total pressure in the container at equilibrium? Ptotal = atm

Chemistry

10th Edition

ISBN:9781305957404

Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Chapter1: Chemical Foundations

Section: Chapter Questions

Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...

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