Partial Pressure Problem: 3 Tanks, H2, N2, CO2 - Total Pressure 5.5 atm

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SUMMARY

The discussion centers on calculating the total pressure and partial pressures of hydrogen (H2), nitrogen (N2), and carbon dioxide (CO2) in a system of three tanks after they are opened to mix. The initial pressures are 1.5 atm for H2, 3 atm for N2, and 1 atm for CO2. However, the correct approach involves using the ideal gas law, specifically the equation P1V1 = P2V2, to determine the new pressures after mixing, accounting for the non-volatile liquid in the CO2 tank. The final calculated total pressure is 1.56 atm with partial pressures of approximately 0.563 atm for H2, 0.563 atm for N2, and 0.437 atm for CO2.

PREREQUISITES
  • Understanding of ideal gas law (P1V1 = P2V2)
  • Knowledge of partial pressure concepts
  • Familiarity with non-volatile liquids and their impact on gas calculations
  • Basic principles of gas mixtures
NEXT STEPS
  • Study the ideal gas law applications in closed systems
  • Research the effects of non-volatile liquids on gas pressure calculations
  • Learn about Dalton's Law of Partial Pressures
  • Explore gas mixture calculations in varying volume conditions
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Chemistry students, chemical engineers, and anyone involved in gas pressure calculations or thermodynamics will benefit from this discussion.

VinnyCee
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Temperature is constant.

At first, this system is closed.

In tank one:

A 2 Liter tank containing H2 at a pressure of 1.5 atmospheres.

In tank two:

A 1 Liter tank containing N2 at a pressure of 3 atmospheres.

In tank three:

A 4 Liter tank containing CO2 at a pressure of 1 atmosphere. Also, a non-volatile liquid covers the bottom 1.67 Liters.

The system is then opened. What is the TOTAL PRESSURE in the opened system, and the PARTIAL PRESSURE of each gas?

I would think that the problem gives the partial pressures already, right?

So partial of H2 = 1.5 atm, N2 = 3 atm and CO2 = 1 atm

And just add all the pressures together to get 5.5 atm as the total pressure?

Is this right?
 
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Vinny Cee, I don't understand the question. By "system is opened", do you mean that the system is opened to the atmosphere? Or do you mean that the three tanks are opened and allowed to mix?
 
I'm assuming the tanks are opened and allowed to mix, in which case you're answer is incorrect, VinnyCee.

Edit:

I believe you have to use the P1V1 = P2V2 and solve for P2 for each of the three tanks (using the total volume as V2) and then figure things out from there. However, I don't know exactly what to do with the third tank and its non-volatile liquid. Unless, you simply use the volume of 2.33 L instead of 4 L. According to my assumption, the total pressure would end up being 1.56 atm. and the partial pressures would be .563, .563, and .437.

I'll let someone else take this one =).
 
Last edited:

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