# Question 962b9

Apr 20, 2016

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:

${c}_{p} = \frac{C}{m}$

#### 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:

${c}_{p} = \frac{C}{m}$

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

Enthalpy $H \to$ Specific enthalpy $h = \frac{H}{m}$

Entropy $S \to$ Specific entropy $s = \frac{S}{m}$

Volume $V \to$ Specific volume υ=V/m#