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For a simple compressible system, $v, s, p$ and $T$ are specific volume, specific entropy, pressure and temperature, respectively. As per Maxwell’s relations, $\bigg( \dfrac{\partial v}{\partial s} \bigg) _p$ is equal to

  1. $\bigg( \dfrac{\partial s}{\partial T} \bigg) _p \\$
  2. $\bigg( \dfrac{\partial p}{\partial v} \bigg) _T \\$
  3. $ – \bigg( \dfrac{\partial T}{\partial v} \bigg) _p \\$
  4. $\bigg( \dfrac{\partial T}{\partial p} \bigg) _s$
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