Carbon dioxide at P 1? and T 1 is contained inside a piston?cylinder. It undergoes polytropic compression

Question:

Carbon dioxide at P_1?and T₁ is contained inside a piston?cylinder. It undergoes polytropic compression according to the process equation PVn = constant.?

a. Derive the formula for the energy transfer as work done by the piston to compress CO₂ to a state with P₂ > P₁. ?he CO₂ in the initial state is at a pressure of 10 bar, at a temperature of 280 K, and it occupies a volume of 0.001 m³. The polytropic exponent of this compression process has been determined and is n = 1.4. The final pressure reached by CO₂ is 20 bar. Using the tables in Appendix A.9 for data, calculate:

b. The mass of CO₂ inside the cylinder,

c. The specific volume of the fluid in the initial and final states,d. The distance traveled by the piston,e. The temperature of the fluid at the final state,f. The work done by the piston,g. The energy transfer as heat and its direction.

Data From Appendix A.9