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That's kind of a trick question. Specific heat - also known as "heat capacity" is the energy required to change the temperature by a fixed amount. In the case of an isothermal process, the temperature isn't changing.

Since specific heat is defined as (δH/δT), isothermal heat capacity would be (δH/δT)T which means, in English, the change in enthalpy with a change in temperature when the temperature isn't changing... you see the problem. If δT = 0, then δH/δT = ±∞ (positive if heat is added to the system to keep the temperature constant, negative if heat was removed to keep it isothermal)

You could write some equations such that the heat capacity becomes a term in the equation. What you will generally find though is that the heat capacity is multiplying a dT term and when dT is zero, that term drops out and heat capacity is irrelevant for the calculation.

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7y ago
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7y ago

That's kind of a trick question. Specific heat - also known as "heat capacity" is the energy required to change the temperature by a fixed amount. In the case of an isothermal process, the temperature isn't changing. Since specific heat is defined as (δH/δT), isothermal heat capacity would be (δH/δT)T which means, in English, the change in enthalpy with a change in temperature when the temperature isn't changing... you see the problem. If δT = 0, then δH/δT = ±∞ (positive if heat is added to the system to keep the temperature constant, negative if heat was removed to keep it isothermal)You could write some equations such that the heat capacity becomes a term in the equation. What you will generally find though is that the heat capacity is multiplying a dT term and when dT is zero, that term drops out and heat capacity is irrelevant for the calculation.

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11y ago

Since e=q/(m x dT), and during isothermal process, dT=0, Specific heat during isothermal process is infinity

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Q: What will be the Specific heat during an isothermal process?
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