This is my first time using the forum so hello! I'm having some trouble with a formula and the theory that entails.
In the formula $\Delta u = c_v\Delta T$$\Delta U = C_v\Delta T$, we get the constant volume heat capacity by assuming constant volume conditions. However, I've understood that a constant volume is not required when using the formula.
I tried understanding the solution through several other posts but it still doesn't make sense to me. Unless my base knowledge is wrong (I have a hard time understanding thermodynamics), why are we allowed to use $\Delta u = c_v\Delta T$$\Delta U = C_v\Delta T$ when volume changes?
Thank you