### 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.

Answered: Image /qna-images/answer/e1090e66-5bd0-47da-b39c-1f657f4e4289.jpg

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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