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

  1. Negative
  2. Zero
  3. Remains constant
  4. Infinite

Answer (Detailed Solution Below)

Option 4 : Infinite
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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 Cp = (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 –

Where, s or C= 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.

∴ Option 4 is correct.

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