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C is juts the heat capacity for anything you are working with. On the other hand C sub v and C sub p is the heat capacity considering constant pressure (C sub p) and heat capacity considering constant volume (C sub v) for IDEAL GASSES. Remember the C sub v and the C sub p is used to calculate the heat capacity for ideal gasses while C is for anything else.
There are different types of heat capacities. C refers to heat capacity when there is no constant pressure or volume. Cp refers to the heat capacity when it is an ideal gas at constant pressure while Cv is the heat capacity of an ideal gas at constant volume.
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