GATE XE (Engineering Sciences) 2022 - Question 75

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Section: Thermodynamics | Marks: 2

One of the Maxwell equations is expressed as , T v s p v T ∂ ∂ = ∂ ∂ where s is the entropy per unit mass, v is the mass specific volume, p is the pressure, and T is the temperature. In this expression, s is a continuous function of T and v. The derivatives of s are also continuous. Let vc be specific heat capacity at constant volume for a gas. Then, v T c v ∂ ∂ can be written as

  • A. 2 2 v p p T T ∂ ∂
  • B. 2 2 T v p T v ∂ ∂
  • C. 2 2 v p T T ∂ ∂
  • D. 2 2 1 T p T v ∂ ∂

Answer: C. 2 2 v p T T ∂ ∂

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