How to Calculate Total Pressure in a Chemical Equilibrium System?

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SUMMARY

The discussion focuses on calculating the total pressure of gases in a chemical equilibrium system involving PCl5, PCl3, and Cl2 in a 1.70-L flask at 227°C. The user applied the Gibbs free energy equation ΔG = -RTln(K) to determine the equilibrium constant and subsequently the moles of each gas. However, the user encountered difficulties in calculating the total pressure using the ideal gas law PV = nRT. The conversation emphasizes the need for clarity in the calculations and suggests reviewing the equilibrium expressions and stoichiometry.

PREREQUISITES
  • Understanding of chemical equilibrium concepts
  • Familiarity with Gibbs free energy calculations
  • Knowledge of the ideal gas law (PV = nRT)
  • Ability to interpret thermodynamic data from textbooks
NEXT STEPS
  • Review the derivation and application of the equilibrium constant K
  • Learn how to calculate ΔG using standard Gibbs free energy values
  • Explore the relationship between moles of gases and total pressure in equilibrium systems
  • Practice solving similar problems involving gas equilibria and pressure calculations
USEFUL FOR

Chemistry students, educators, and professionals involved in chemical equilibrium analysis and thermodynamics will benefit from this discussion.

annastewert
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Homework Statement


Introduced into a 1.70 −L flask is 0.120 mol of PCl5(g); the flask is held at a temperature of 227∘C until equilibrium is established.
PCl5(g)⇌PCl3(g)+Cl2(g)

What is the total pressure of the gases in the flask at this point? [Hint: Use data from Appendix D in the textbook and appropriate relationships from this chapter.]

Homework Equations


From the data tables I got ΔG for the following to be:
Cl2 = 0
PCl3 = -267.8
PCl5 = -305
From this I know ΔG to be 37.2.

ΔG=-RTln(K) (1)
PV=nRT (2)

The Attempt at a Solution


Using equation (1) I found K and then found the moles of each substance at equilibrium. I added these together and put them into equation (2) to get P. This isn't working for me. Is there a better way to do it?
 
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annastewert said:

Homework Statement


Introduced into a 1.70 −L flask is 0.120 mol of PCl5(g); the flask is held at a temperature of 227∘C until equilibrium is established.
PCl5(g)⇌PCl3(g)+Cl2(g)

What is the total pressure of the gases in the flask at this point? [Hint: Use data from Appendix D in the textbook and appropriate relationships from this chapter.]

Homework Equations


From the data tables I got ΔG for the following to be:
Cl2 = 0
PCl3 = -267.8
PCl5 = -305
From this I know ΔG to be 37.2.

ΔG=-RTln(K) (1)
PV=nRT (2)

The Attempt at a Solution


Using equation (1) I found K and then found the moles of each substance at equilibrium. I added these together and put them into equation (2) to get P. This isn't working for me. Is there a better way to do it?
Show us more of the details, please.
 

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