GATE Mechanical Engineering (ME) 2019 Shift 2 Solved Paper

Question : 18 of 65

Marks: +1, -0

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

Solution:

From mathematical relation expiration

d x=M d y+N d z

⇒(\;{∂ M}/{∂ z})_{y}=(\;{∂ N}/{∂ y})_{z}

From Maxwell relation

d h=T d s+V d p

∴ (\;{∂ T}/{∂ p})_{s}=(\;{∂ V}/{∂ S})_{p}

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