A gas in a piston–cylinder assembly undergoes a compression process for which the relation between pressure...

A gas in a piston–cylinder assembly undergoes a compression process for which the relation between pressure and volume is given by pVⁿ = constant. The initial volume is 0.2 m³, the final volume is 0.04 m³, and the final pressure is 2 bar.

For n = 1.3, determine the initial pressure, in bar, and the work for the process, in kJ.

Solutions

Expert Solution

Solution : -

Here the gas is compressed adiabatically. The relation between volume and pressure is given by-

If be the initial pressure and volume respectively and be the final pressure and volume respectively the we can write

Work done in the process is given by

So the initial pressure 0.2468 bar and the work done is -10.21 kJ.

genius_generous answered 1 year ago

Next > < Previous

Related Solutions

Carbon monoxide gas (CO) contained within a piston– cylinder assembly undergoes three processes in series: Process...

Carbon monoxide gas (CO) contained within a piston– cylinder assembly undergoes three processes in series: Process 1–2: Expansion from p1 = 4.5 bar, V1 = 0.8 m3 to V2 = 1.4 m3, during which the pressure-volume relationship is pV = constant. Process 2–3: Constant-volume heating from state 2 to state 3, where p3 = 4.5 bar. Process 3–1: Constant-pressure compression to the initial state. Evaluate the overall work, in kJ and graph

Problem 6.082 SI Steam undergoes an isentropic compression in an insulated piston–cylinder assembly from an initial...

Problem 6.082 SI Steam undergoes an isentropic compression in an insulated piston–cylinder assembly from an initial state where T1 = 120°C, p1 = 1 bar to a final state where the pressure p2 = 50 bar. Determine the final temperature, in °C, and the work, in kJ per kg of steam.

Steam undergoes an isentropic compression in an insulated piston–cylinder assembly from an initial state where T1...

Steam undergoes an isentropic compression in an insulated piston–cylinder assembly from an initial state where T1 = 120°C, p1 = 1 bar to a final state where the pressure p2 = 30 bar. Determine the final temperature, in °C, and the work, in kJ per kg of steam.

Refrigerant 22 undergoes a constant-pressure process within a piston–cylinder assembly from saturated vapor at 5.0 bar...

Refrigerant 22 undergoes a constant-pressure process within a piston–cylinder assembly from saturated vapor at 5.0 bar to a final temperature of 25°C. Kinetic and potential energy effects are negligible. Evaluate the work and the heat transfer, each in kJ per kg of refrigerant.

Two kilograms of CO2 gas is contained in a piston-cylinder assembly at a pressure of 6.5...

Two kilograms of CO2 gas is contained in a piston-cylinder assembly at a pressure of 6.5 bar and a temperature of 300 K. The piston has a mass of 5000 kg and surface area of 1m2. The friction of the piston on the walls is significant and cannot be ignored. The atmospheric pressure is 1.01325 bar. The latch holding the piston in position is suddenly removed and the gas is allowed to expand. The expansion is arrested when the volume...

Air undergoes a polytropic process in a piston–cylinder assembly from p1 = 1 bar, T1 =...

Air undergoes a polytropic process in a piston–cylinder assembly from p1 = 1 bar, T1 = 295 K to p2 = 7 bar. The air is modeled as an ideal gas and kinetic and potential energy effects are negligible. For a polytropic exponent of 1.4, determine the work and heat transfer, each in kJ per kg of air, (1) assuming constant cv evaluated at 300 K. (2) assuming variable specific heats.

Air undergoes a polytropic process in a piston–cylinder assembly from p1 = 1 bar, T1 =...

Air undergoes a polytropic process in a piston–cylinder assembly from p1 = 1 bar, T1 = 295 K to p2 = 3 bar. The air is modeled as an ideal gas and kinetic and potential energy effects are negligible. For a polytropic exponent of 1.2, determine the work and heat transfer, each in kJ per kg of air, (1) assuming constant cv evaluated at 300 K. (2) assuming variable specific heats.

Air undergoes a polytropic process in a piston–cylinder assembly from p1 = 1 bar, T1 =...

Air undergoes a polytropic process in a piston–cylinder assembly from p1 = 1 bar, T1 = 295 K to p2 = 3 bar. The air is modeled as an ideal gas and kinetic and potential energy effects are negligible. For a polytropic exponent of 1.6, determine the work and heat transfer, each in kJ per kg of air, (1) assuming constant cv evaluated at 300 K. (2) assuming variable specific heats.

A gas is contained in a vertical piston–cylinder assembly by a piston with a face area...

A gas is contained in a vertical piston–cylinder assembly by a piston with a face area of 40 in2 and weight of 100 lbf. The atmosphere exerts a pressure of 14.7 lbf/in2 on top of the piston. A paddle wheel transfers 3 Btu of energy to the gas during a process in which the elevation of the piston increases slowly by 2 ft. The piston and cylinder are poor thermal conductors, and friction between the piston and cylinder can be...

Steam, initially at 700 lbf/in.2, 550°F undergoes a polytropic process in a piston–cylinder assembly to a...

Steam, initially at 700 lbf/in.2, 550°F undergoes a polytropic process in a piston–cylinder assembly to a final pressure of 2200 lbf/in.2 Kinetic and potential energy effects are negligible. Determine the heat transfer, in Btu per lb of steam, for a polytropic exponent of 1.4, (a) using data from the steam tables. (b) assuming ideal gas behavior.

Subjects