Thermodynamics- validity of change of internal energy equation

AI Thread Summary
The discussion centers on the equation ΔU = mCvΔT and its applicability to different thermodynamic processes. Initially, it was believed that this equation is only valid for constant volume processes due to the definition of Cv. However, there is a reconsideration that suggests this equation may apply to any process involving an ideal gas, as ΔU depends solely on the change in temperature. The distinction between Cv and other specific heats is also highlighted, indicating that the equation's validity might extend beyond constant volume scenarios. Ultimately, clarity on the conditions under which this equation holds is essential for understanding thermodynamic principles.
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Just had a thermodynamics exam, and one of the questions was

For an ideal gas, is the relation \DeltaU = mC_{}v\DeltaT restricted to constant volume processes only? Why?

I wrote that it was only valid for constant volume processes, because this is what C_{}V is defined as, however now I'm starting to think that is only true for Q, and that equation is true for any process, not just constant volume.

thanks in advance!
 
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oops, meant to be subscript v's obviously :)
 

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