1. Give brief answers to the following questions. Justify your answers in each item; otherwise you will get only partial credit or no credit at all. A. [2 Points] By considering a system divided into two identical subsystems determine if the quantity 2lnV+lnPlnUlnN is intensive, extensive, or the classification does not apply. B. [1 PoINT ] Determine the units of the quantity U/(PV). Simplify your answer as much as possible. C. [3 Points] For an ideal gas with constant specific heat, the difference between the specific entropy in states a and b is given by the expression sbsa=cplnTaTbRlnPaPb. By inserting the temperature evaluated from the ideal-gas equation of state PV=mRT into Eq. (1.2) show that the entropy difference can also be expressed as sbsa=cvlnPaPb+cplnvavb. Recall that cp=cv+R. D. [4 PoINTs] Incompressible fluid of the volume V is enclosed in a cylinder-piston device. The pressure of the fluid is increased from P1 to P2 by increasing the force acting on the piston. Assuming that the system is adiabatically isolated, determine the change of the internal energy and enthalpy in this process. Is there any work performed during the pressure increase? Clearly explain your reasoning