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Use the expression Td;S=-y dA and Td S=dU+pdV in the general expressions for the First and the Second Laws and obtain dU = TdS-p

 

Use the expression Td;S=-y dA and Td S=dU+pdV in the general expressions for the First and the Second Laws and obtain dU = TdS-p dV+ y dA (assuming dN, = 0).

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