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From what I know, specific heat is dependent on a unit mass to heat something up. So in terms of a gas, the volume and pressure are important because the smaller the volume, the less molecules of gas and when you heat it up, it would take more heat (thus a higher heat capacity).
Not sure if this is right or not but the way I was thinking about it was the lower he pressure, the easier it is to add heat and therefore the lower the heat capacity... similarly the greater the volume, the more energy it can absorb and therefore the specific heat capacity is lower... again I’m not sure if this is right or now
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