Can we define specific heat capacity at constant temperature?
The specific heat capacity of a substance is defined as the amount of heat required to raise the temperature of one mole of that substance by 1 degree Celsius, or 1 Kelvin. It is denoted by C.
Hence, , … (i)
where
C = specific heat capacity
Q = heat required to raise the temperature by dT
m = molar mass
dT = change in temperature.
For constant temperature, dT = 0. Putting this value in (i), we get
Hence, for a process at a constant temperature, the specific heat capacity is infinite.