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Rate of change of enthalpy with respect to entropy at constant pressure for a perfect gas
  • a)
    increases as T increases
  • b)
    decreases asT increases
  • c)
    is independent of T
  • d)
    none of the above
Correct answer is option 'A'. Can you explain this answer?
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Explanation:

Rate of Change of Enthalpy with Respect to Entropy:
- The rate of change of enthalpy with respect to entropy at constant pressure for a perfect gas is known as the temperature coefficient of enthalpy.
- This coefficient is represented as (∂H/∂S)P, where H is enthalpy, S is entropy, and P is pressure.

Relationship with Temperature:
- As temperature (T) increases, the rate of change of enthalpy with respect to entropy at constant pressure for a perfect gas increases.
- This relationship can be explained by the definition of entropy, which is a measure of the disorder or randomness of a system.
- As temperature increases, the randomness or disorder of the system also increases, leading to a higher rate of change of enthalpy with respect to entropy.

Conclusion:
- Therefore, the correct answer to the given question is option 'A' - the rate of change of enthalpy with respect to entropy at constant pressure for a perfect gas increases as temperature increases.
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