Question

Question #962b9

Answer 1

The material/substance property that doesn't depend on mass is the specific heat capacity `c_p`. The "case-specific" heat capacity `C` depends on the mass `m` and the two are linked:

`c_p=C/m`

Explanation:

When one refers to this value, he usually refers to the specific heat capacity, since it's a way of measuring how much heat "fits" in a mass, so it's more like a substance property than a certain situation. The known equation that gives heat `Q`

`Q=m*c_p*ΔT`

shows that heat depends on mass. However, reversing the equation, one can obtain:

`c_p=Q/(m*ΔT)`

while the equation is true, to say that `c_p` depends on mass one must ensure that all other values are held constant.

The heat capacity of a system however, doesn't actually give attention to the mass, yielding:

`Q=C*ΔT`

Where if one wants to link the specific capacity to the mass must take note that:

`c_p=C/m`

This holds true for many thermodynamic properties and the specific values are used most of the time. Examples are:

Enthalpy `H->` Specific enthalpy `h=H/m`

Entropy `S->` Specific entropy `s=S/m`

Volume `V->` Specific volume `υ=V/m`