Question: Using Carnot cycle, prove that Helmholtz free energy is a state function, i.e. $dF = 0 Prove the following equalities and inequalities: $Pdv 0,

Using Carnot cycle, prove that Helmholtz free energy is a state function,

Using Carnot cycle, prove that Helmholtz free energy is a state function, i.e. $dF = 0 Prove the following equalities and inequalities: $Pdv 0, $Tds #0 $d(PV) = 0, $d(TS) = 0 $Pdv = - $ SdT $VdP = - $TdS $VdP = $SAT

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