Sketch a PV diagram and find the work done by the gas during the following stages.(a) A gas is expanded from a volume of 1.0 L to 7.5 L at a constant pressure of 5.0 atm. J(b) The gas is then cooled at constant volume until the pressure falls to 1.5 atm. J(c) The gas is then compressed at a constant pressure of 1.5 atm from a volume of 7.5 L to 1.0 L. (Note: Be careful of signs.) J(d) The gas is heated until its pressure increases from 1.5 atm to 5.0 atm at a constant volume. J(e) Find the net work done during the complete cycle. J

A sample of gas, initially with a volume of 1.0 L, undergoes a thermodynamic cycle. Find the work done by the gas on its environment during each stage of the cycle described below. (Enter your answers in J.)(a)First, the gas expands from a volume of 1.0 L to 6.5 L at a constant pressure of 6.0 atm. J(b)Second, the gas is cooled at constant volume until the pressure falls to 1.5 atm. J(c)Third, the gas is compressed at a constant pressure of 1.5 atm from a volume of 6.5 L to 1.0 L. (Note: Be careful of signs.) J(d)Finally, the gas is heated until its pressure increases from 1.5 atm to 6.0 atm at a constant volume. J(e)What is the net work done by the gas on its environment during the complete cycle described above? J

A gas expands from I to F along the three paths indicated in the figure below. Calculate the work done on the gas along each of the following paths.Three paths are plotted on a PV diagram, which has a horizontal axis labeled V (liters), and a vertical axis labeled P (atm).The green path starts at point I (3,6), extends vertically down to point B (3,2), then extends horizontally to point F (9,2).The blue path starts at point I (3,6), and extends down and to the right to end at point F (9,2).The orange path starts at point I (3,6), extends horizontally to the right to point A (9,6), then extends vertically down to end at point F (9,2).(a) IAF J(b) IF J(c) IBF J

A gas follows the PV diagram in the figure below. Find the work done on the gas along the paths AB, BC, CD, DA, and ABCDA. (Enter your answers in J.)HINTThe area under the graph in a PV diagram is equal in magnitude to the work done on the gas. The work is positive if the gas is compressed and negative if it expands.Click the hint button again to remove this hint.A rectangular path is plotted on a PV diagram which has a horizontal axis labeled V (m3), and a vertical axis labeled P (105 Pa). The area inside the rectangle is shaded. The path is clockwise and runs through corner points A–D in the following order:A (1.00, 4.00), B (7.00, 4.00), C (7.00, 1.00), D (1.00, 1.00).(a)AB J(b)BC J(c)CD J(d)DA J(e)ABCDA J

Gas in a container is at a pressure of 1.6 atm and a volume of 6.0 m3.(a) What is the work done on the gas if it expands at constant pressure to twice its initial volume? J(b) What is the work done on the gas if it is compressed at constant pressure to one-quarter of its initial volume? J

Consider an ideal gas that occupies 2 L at 1 bar. The gas is compressed isothermallyto 0.5 L at a constant pressure of 4 bar. This is followed by another isothermalcompression to 0.25 L at a constant pressure of 8 bar. Calculate the work involved inthis two-step compression. Calculate and compare the work if the same gas wascompressed 2 L to 0.25 L in a reversible, isothermal manner.