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When using specific heat capacity to get q, only the mass and change in temperature are needed because the equation is q=mCT. The units for q is in joules and specific heat is in J/g°C, so when you multiply the specific heat by the mass (g) and change in temperature, (°C), you are left with joules, which are the units you need for q.
The equation for specific heat is Specific Heat Capacity= (n x ∆T)/q. Through this equation we can see that the heat capacity is determined by mols (n) and not volume. However, (although I don't know the specific question you are referencing) problems will sometimes give you volume(Liters) and pressure (Atmosphere) and expect you to calculate heat using the conversion 1 L x atm = 101.325 Joules.
Volume is not necessary in calculating specific heat because the energy absorbed or released only depends on the mass of the material, how much of that material is present. The density of the material should stay constant anyways, so the greater volume you have of it, the more mass you will have, making including both unnecessary. In calculations volume will probably only be used if you're not given mass and you're given something you can use to convert the volume to mass, like density or molarity.
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