Much appreciated.JorisL said:Technically the second is more correct.
That is, we take that Btu/ft³·°F = ##{Btu} \over {ft^3\cdot °F}## while according to the standard mathematical rules it actually says Btu/ft³·°F = ##\frac{Btu}{ft^3}\cdot °F##.
The second option avoids this possible confusion by using parentheses.
However when using units it often happens that you neglect this technicality, because you know what the units are supposed to say.
Volumetric heat capacity is a measure of the amount of heat required to raise the temperature of a unit volume of a substance by one degree Celsius.
The correct mathematical notation for volumetric heat capacity is Cv or Cp, depending on whether the volume is measured at constant volume or constant pressure.
Volumetric heat capacity and specific heat capacity are both measures of how much heat a substance can absorb, but they differ in the units of measurement. Volumetric heat capacity is measured in J/m3K, while specific heat capacity is measured in J/kgK.
Volumetric heat capacity can be calculated by dividing the specific heat capacity by the density of the substance. It can also be calculated by multiplying the molar heat capacity by the molar volume of the substance.
Using correct mathematical notation for volumetric heat capacity ensures that there is no confusion or ambiguity in the representation of the variable. It also allows for consistency and accuracy in scientific calculations and communication.