Molar Heat Capacity of Monoatomic Ideal Gas in Constant Gravitational Field

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The discussion focuses on calculating the molar heat capacity of a monoatomic ideal gas in a constant gravitational field. Participants explore how gravitational effects influence the relationship between heat transfer (dQ) and temperature change (dT), suggesting that pressure and volume are interconnected in this context. The barometric formula is mentioned as a method to derive the average potential energy as a function of temperature. There is a consideration of total enthalpy and its relation to pressure-volume work in the system. The conversation emphasizes the need to understand the total potential energy of the ideal gas to solve the problem effectively.
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Find the molar heat capacity of the monoatomic ideal gas in the constant gravitational field. (clue: find the average potential energy as a function of temperature using the barometric formula.)

could someone please help me out?
 
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how does the constant gravitational field effect the dQ/dT? Perhaps it means that there is a certain pressure and volume. if p=f/a , v=ah, so pv=fh mgh=fh so pv=mgh
if total enthalpy H= PdV or dPV, so perhaps dQ/dT=PdV/dT. what is the total potential energy of an ideal gas??
 

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