What is the final pressure of an adiabatically compressed gas in a container?

AI Thread Summary
To determine the final pressure of an adiabatically compressed gas, the initial conditions include 2.0 L of air at 1.0 atm and -50°C. The gas is compressed to a final volume of 0.5 L. The ideal gas law is not applicable directly due to the adiabatic nature of the process, which complicates calculations without knowing the number of moles. The discussion highlights confusion regarding how to find the moles of gas given the initial conditions. Understanding the relationship between pressure, volume, and temperature during adiabatic compression is crucial for solving the problem.
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Homework Statement


a container with air (M = 29 g/mol, treated as an ideal gas). In the container, we have 2.0 L of the gas with p1 = 1.0 atm at T1 = – 50C. The gas is compressed adiabatically to a final volume of 0.5 L. What is its final pressure?


Homework Equations


I am really not sure, as the moles are not given, and the only equation I have encountered for this problem involves moles.


The Attempt at a Solution


I attempted using ideal gas law, but since the process is adiabatic, the answer does not apply. I am truly confused.
 
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Do you think you could find moles? I mean, you have Pressure, Volume, and Temperature.
 

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