AZING GAS LAWS: Internal Energy Change in Adiabatic Processes

AI Thread Summary
The discussion revolves around calculating the total internal energy change of an ideal gas undergoing two processes: a free adiabatic expansion and an adiabatic compression. The gas expands from 2.0 liters to 66 liters without heat exchange, followed by a compression where pressure is inversely proportional to the square of the volume. Key questions include understanding the relationship between pressure and volume during adiabatic changes and determining the internal energy expression based on the gas's properties. Participants seek clarification on how to approach the problem, particularly in calculating the internal energy change and the relevant thermodynamic relationships. The conversation emphasizes the need for a solid grasp of the principles governing adiabatic processes and the specific gas involved.
Bradracer18
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I need a little starter on this one...can't figure out how to do it(or even start it)...I'll work it, if I can get some help along the way...


Two moles of an ideal gas at 20 deg C undergo a free adiabatic expansion from 2.0 liters to 66 liters. Then the gas is adiabatically compressed such that the pressure is inversely proportional to the square of the volume: P=P(not)(V(not)/V)^2. What is the total internal energy change after both processes if the last compression reduces the volume by a factor of 4.


The problem is kinda hard to understand in itself for me...so any help would be greatly appreciated.

Thanks,
Brad
 
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anyone else understand this problem enough to help me along??
 
Bradracer18 said:
Two moles of an ideal gas at 20 deg C undergo a free adiabatic expansion from 2.0 liters to 66 liters. Then the gas is adiabatically compressed such that the pressure is inversely proportional to the square of the volume: P=P(not)(V(not)/V)^2. What is the total internal energy change after both processes if the last compression reduces the volume by a factor of 4.
What is the relationship between Pressure and Volume in an adiabatic compression or expansion? (Hint: it depends on CP/CV for the gas. How do you determine \gamma for this particular gas?)

What is the expression for the internal energy of a gas? (what property does it depend on?) Can you determine that property from the information provided?

AM
 
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