Thermal Energy Transfer: A Gas Heated at Constant Volume and Pressure

AI Thread Summary
The discussion revolves around calculating thermal energy transfer for a gas heated at constant volume and pressure. The user successfully calculates the energy transfer at constant volume using the formula E = 3/2 nRT, resulting in 3490.2 J. The difference in energy required at constant pressure is addressed, noting that the heat capacity at constant pressure (Cp) for an ideal monatomic gas is higher, specifically Cp = 5/2 nR. The type of gas is also mentioned as potentially being a noble gas, which is necessary for the formulas to apply correctly. Understanding these heat capacities is crucial for accurately determining energy transfer in different heating scenarios.
calculusisrad
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A quartz tube contains one mom of gAs at 20 deg c. The gas is heated at constant volume to 300 deg c. How much thermal energy is transferred to the gas? If the same amount were heated at constant pressure, how muh energy would be required?

I know how to solve this for constant volume using E= 3/2 nRT to get 3490.2 j but I don't know what difference constant pressure makes?
 
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calculusisrad said:
A quartz tube contains one mom of gAs at 20 deg c. The gas is heated at constant volume to 300 deg c. How much thermal energy is transferred to the gas? If the same amount were heated at constant pressure, how muh energy would be required?

I know how to solve this for constant volume using E= 3/2 nRT to get 3490.2 j but I don't know what difference constant pressure makes?

Welcome to PF, calculusisrad! :smile:

In the formula E= 3/2 nRT you are using that the heat capacity at constant volume of an ideal monatomic gas is Cv = 3/2 nR.
The heat capacity at constant pressure of an ideal monatomic gas is Cp = 5/2 nR.

Btw, you did not mention the type of gas, but is it perhaps one of the noble gasses?
Because that's basically what you need for that formula to hold.
 
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