Mixture of ideal gas (a tricky one?)

[quessy]

Homework Statement

ethylene is stored in 5.6 liter spherical vessel at 260degC and 2750 kPa. To protect against explosion the vessel is enclosed in another spherical vessel with volume of 56L and filled with nitrogen at 260degC and 10.1Mpa. The entire assembly is maintained at 260degC in a furnace. The inner vessel raptures/ruptures. Determine the final pressure and the entropy change

Homework Equations

just give me a clue where to start i think i will be able to solve it. but i will appreciate if you answer it.

The Attempt at a Solution

of course i tried to use the ideal gas equation. and i think, from my understanding, rupture means it expands. so correct me if I am wrong. by the way i have the final answers: P=9365kPa and 0.1671kJ/K

 

[KataKoniK]

Hello,

Thank you for your post. It seems like you are on the right track by using the ideal gas equation. The first step would be to determine the initial number of moles of ethylene in the inner vessel. This can be done by using the ideal gas equation, PV = nRT, where P is pressure, V is volume, n is the number of moles, R is the gas constant, and T is temperature. You have all the necessary values except for n, so you can solve for n.

Once you have the initial number of moles of ethylene, you can use the ideal gas equation again to determine the final pressure. However, since the inner vessel has ruptured, the volume will increase and the number of moles will remain the same. So the equation would be P1V1 = P2V2, where P1 and V1 are the initial pressure and volume, and P2 and V2 are the final pressure and volume.

To determine the final volume, you can use the volume ratio of the two vessels (56L/5.6L) to find the final volume of the ethylene. Then you can solve for the final pressure.

As for the entropy change, you can use the equation ΔS = nRln(V2/V1), where ΔS is the change in entropy, n is the number of moles, R is the gas constant, and V2/V1 is the volume ratio. Again, the number of moles remains the same, so you can solve for the entropy change.

I hope this helps give you a starting point. Let me know if you have any further questions. Good luck with your calculations!