Molar heat capacity at constant pressure/volume

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SUMMARY

The discussion focuses on calculating the molar heat capacities at constant pressure (Cp) and constant volume (Cv) for an ideal gas. The user, Nick, provided an energy input of 117J for 2.0 moles, resulting in a temperature change of 2.0K. The initial calculation of 29.25J/m/K for the molar heat capacity was deemed too simplistic. The relationship Cp = Cv + nR was highlighted, with the need to know the ideal gas constant R for accurate calculations.

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  • Understanding of ideal gas laws
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Nick Jarvis
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Morning

I am being stupid but cannot work out these problems:

1. Energy supplied to 2.0 moles of an ideal gas is 117J and it changes the temperature by 2.0K (at constant pressure).
2. Calculate both molar heat capacities at constant P and V.3. Firstly, I divided 117J by 4 to get the energy required to change 1 mole by 1k. Answer was 29.25J/m/K. Seems way too simple? Then, I have:

Cp = Cv + nR, as we know that Cp is usually higher. So 29.25J/m/K = Cv + nR

I know n = 2.0 moles, but the question doesn't give R. Or should I know R? Or am I completely wrong?

Sorry if this is a basic question.

Cheers

Nick
 
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Yes, you are expected to know R. By the way, you weren't going to use n = 2, were you?
 
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Thank-you mjc

And yes, I was. Cheers for the heads up. I didn't spend enough time on this module so trying now to catch up. I will revisit it and find out what n refers to.
Cheers again :)
 

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