Project ForgeThermodynamics
Entropy & Second Law
GATE 2019
Hard
For a simple compressible system, v, s, p and T are specific volume, specific entropy, pressure and temperature, respectively. As per Maxwell's relations, (∂v/∂s)_p is equal to
- A(∂s/∂T)_p
- B(∂p/∂v)_T
- C−(∂T/∂v)_p
- (∂T/∂p)_s
Explanation
From dG=−SdT+Vdp (Gibbs free energy), equality of mixed partial derivatives gives the Maxwell relation (∂V/∂S)_p = (∂T/∂p)_s, i.e. (∂v/∂s)_p=(∂T/∂p)_s.
Source: GATE ME 2019 Session 2 (Set 3) (2019)
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