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.


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