(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

When one mole of an ideal gas is compressed adiabatically to one-half of its original volume, the temperature of the gas increases from 273 to 433K. Assuming that Cv is independent of temperature, calculate the value of Cv for this gas.

2. Relevant equations

Cv = dU/dT

dU = dq + dw

dq = 0 for adiabatic processes, thus dU=dw

PV = nRT

3. The attempt at a solution

Cv = -pdV / dT

Cv = (-nRT/V)(dV/dT)

I'm stuck here.

Assuming I'm correct thus far, do I use the initial or final values for T and V (i.e. do I use 273K or 433K?)

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# How to calculate Cv

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