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One mole of an ideal monoatomic gas is contained in a cylinder of volume 103m3 at a temperature of 400K. The gas is taken to
One mole of an ideal monoatomic gas is contained in a cylinder of volume 103m3 at a temperature of 400K. The gas is taken to a final state with a volume of 2103m3 and a temperature of 400K (note that this is an isothermal expansion process of the ideal gas). A thermal reservoir (cold source) with temperature Tres =300K is available as well as a reversible working source. What is the maximum work that can be produced at FTR (reversible work source)? What is the thermodynamic efficiency of this process? Remember that for an ideal gas the fundamental equation for fixed N can be written as, S=cNRlnU+NRlnV+cte and that the thermal equation of state is given by T1=ucR Remember that energy conservation demands that U+QFCR+WFRT=0 and that the reversibility condition requires that S+SFCR=0 Since FCR is a reservoir, it is worth that QFCR=Qres.. Remember that for quasi-static processes when the FCR (reversible heat source) is a reservoir, the relation QFCR=TFCRSFCR=Qres=TresSres is also valid. 2 - If the thermal reservoir of Exercise 1 is replaced by an FCR (reversible heat source) having a heat capacity at constant volume given by: CV(T)=(2+150KT)R Which of the FCR's allow to produce more work, a thermal reservoir or a source that has its temperature changed in the operation of the thermal machine
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