The specific heat of a gas in an isothermal process is _____

CONCEPT

Specific Heat capacity: The amount of heat required to raise the temperature of a substance of having mass m is called specific heat.

• It is denoted by “c” or “s”.
• It is different for each substance.
• Its unit is cal/g-°C in CGS and joule/g-K in SI unit.
• 1 calorie = 4.186 Joule.
• s or C_p = (Q /m Δ t) [s = specific heat of a substance, Q = Heat supplied to the object, m = mass of the substance, Δ t = change in temperature].

Isothermal Process: It is a thermodynamic process in which the temperature remains constant.

EXPLANATION

We know, the specific heat capacity is –

\(s\;or\;{C_p} = \frac{Q}{{m\;{\bf{\Delta }}t}} \)

Where, s or C_p = specific heat of a substance, Q = Heat supplied to the object, m = mass of the substance, Δ t = change in temperature.

If the system is isothermal, then the temperature remains constant or change in temperature is 0.

Which means Δ t = 0.

If Δ t = 0 then Cp becomes infinite as Δ t is in the denominator which is 0.