Molar heat capacity at constant volume

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Molar heat capacity at constant volume can be calculated by dividing the change in internal energy by the temperature rise for a given amount of energy transferred to an ideal gas. For two moles of gas, the molar heat capacity is half the calculated value due to the number of moles. This principle also applies to heat capacity at constant pressure, where the heat capacity per mole remains consistent regardless of the number of moles involved. Therefore, both heat capacities can be derived similarly for any number of moles. Understanding these relationships is essential for thermodynamic calculations.
LivvyS
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Hi everyone,

If you know the temperature rise of 2 moles of an ideal gas when a known amount of energy is transferred to it as heat, (hence are able to calculate cv by dU/dT); is the molar heat capacity simply half this value as it is half the number of moles?
 
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If the process takes place at constant volume, yes.
 
Thanks for the quick reply!
Is the same true of heat capacity at constant pressure?
 
LivvyS said:
Thanks for the quick reply!
Is the same true of heat capacity at constant pressure?
Yes.
 

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