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The values differ because the heat capacity of a gas can be calculated with either a constant volume or a constant pressure. When it's calculated with a constant pressure, the gas can lose energy by doing work on whatever boundary is present, which makes the amount of energy to change its temperature slightly different because some of the energy supplied is used to do work instead of heat up the gas.
Cv is the specific heat of a substance under constant pressure, while Cp is the specific heat of a substance under constant pressure. Generally, Cv is lower because a system at constant volume does no work, so all of the energy inputed into the system will be used toward increasing the temperature.
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