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What is the value of specific heat capacity for an isothermal process?

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Correct Answer - Option 3 : \(\infty \)

CONCEPT:

  • An isothermal process is a process in which the temperature does not change or ΔT =0
    • ​T = Constant
  • Specific Heat: The amount of heat required to increase the temperature of a unit mass by one unit °C is called the specific heat of the material.

The heat required or lost to change the temperature of mass:

Q = msΔT

where Q is the heat required, m is the mass of the object, and s is the specific heat of the material, and ΔT is the change in temperature.

EXPLANATION:

Specific heat \(S = {\Delta Q\over \Delta T}\)

We know that for an isothermal process ΔT =0 

\(S = {\Delta Q\over \Delta T} = {\Delta Q\over0} = \infty\)

  • The Specific heat for the isothermal process is infinity.
  • So the correct answer is option 3.

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