Using the Maxwell relations and the ideal-gas equation of state, determine a relation for (∂s/∂v) T...

Question

Using the Maxwell relations and the ideal-gas equation of state, determine a relation for (∂s/∂v) T for an ideal gas.

David · Accepted Answer

The Maxwell relation is  
(
  
  
)
 
 (
  
  
)
 
  
Now the ideal gas relation is
Now differentiate the gas relation keeping volume constant  
(
  
  
)
 
  
 
 
 
Therefore from the Maxwell relation  
(
  
  
)

Using the Maxwell relations and the ideal-gas equation of state, determine a relation for (∂s/∂v) T for an ideal gas.

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