The reaction\[ \text{CO(g) + H}_2\text{O(g) } \rightleftharpoons \text{ CO}_2\text{(g) + H}_2\text{(g)} \]has an equilibrium constant \( K_c \) of 0.58 at 1000 °C. If a 90.0-L mixture of CO and H\(_2\)O has a concentration of each of \( 7.00 \times 10^{-2} \) mol/L, what amount (in moles) of each species will be present when the mixture reaches equilibrium?- \(\_\_\_\_\_\_\_\_\_\_\_\) mol CO- \(\_\_\_\_\_\_\_\_\_\_\_\) mol H\(_2\)O- \(\_\_\_\_\_\_\_\_\_\_\_\) mol CO\(_2\)- \(\_\_\_\_\_\_\_\_\_\_\_\) mol H\(_2\)

GIVEN: Concentration of CO= 7.00 x 10-2 mol/L Concentration of H2O= 7.00 x 10-2 mol/L Volume = 90.0 L Kc = 0.58 To calculate: Moles of CO,H2O,CO2 and H2 present at equilibrium ICE TABLE for the given reaction is: CO (g) + H2O (g) <--------------> CO2 (g) + H2 (g) INITIAL 0.07M 0.07 M CHANGE -x -x +x +x EQUILIBRIUM 0.07-x 0.07-x x x Expression for equilibrium constant can be expressed as: KC=CO2H2COH2O0.58=xx0.07-x0.07-x0.58 (0.07-x)2 =x2 0.58 (0.0049+x2-0.14x) =x2 0.002842 + 0.58 x2 -0.58014 x =x20.42 x2 +0.58014 x -0.002842 =0On solving the quadratic equation, we getx=0.00488156 MSo, equilibrium concentration of CO2 =0.004882 MH2= 0.004882 MCO= 0.07-0.004882 =0.0651 MH2O = 0.07 -0.004822 = 0.0651 MMoles = concentration x VolumeAt equilibriumMoles of CO2=0.004882 M ×90.0 L= 0.4394 molMoles of H2=0.004882 M ×90.0 L= 0.4394 molMoles of H2O= 0.0651 M ×90.0 L= 5.589 molMoles of CO= 0.0651 M ×90.0 L= 5.589 molAt equilibriumMoles of CO2= 0.4394 molMoles of H2= 0.4394 molMoles of H2O= 5.589 molMoles of CO= 5.589 mol

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The reaction CO(g) + H2O(g) 2 CO2(g)+ H2(g) has an equilibrium constant K̟ of 0.58 at 1000 °C. If a 90.0-L mixture of CO and H0 has a concentration of each of 7.00×10² mol/L, what amount (in moles) of each species will be present when the mixture reaches equilibrium? mol CO mol H20 mol CO2 mol H2

The reaction CO(g) + H2O(g) 2 CO2(g)+ H2(g) has an equilibrium constant K̟ of 0.58 at 1000 °C. If a 90.0-L mixture of CO and H0 has a concentration of each of 7.00×10² mol/L, what amount (in moles) of each species will be present when the mixture reaches equilibrium? mol CO mol H20 mol CO2 mol H2

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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