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 8.0 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 8.0 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(f)Which of the following PV diagrams matches the process outlined in parts (a)–(d)? Let points a–d in the diagram refer to the state of the gas at the start of each of the respective processes described in parts (a)–(d) above.A rectangular path is plotted on a PV diagram which has a horizontal axis labeled V (L), and a vertical axis labeled P (atm). The path is clockwise and runs through corner points a–d in the following order:a (1.0, 1.5), b (1.0, 6.0), c (8.0, 6.0), d (8.0, 1.5). A rectangular path is plotted on a PV diagram which has a horizontal axis labeled V (L), and a vertical axis labeled P (atm). The path is counterclockwise and runs through corner points a–d in the following order:a (8.0, 1.5), b (8.0, 6.0), c (1.0, 6.0), d (1.0, 1.5). A rectangular path is plotted on a PV diagram which has a horizontal axis labeled V (L), and a vertical axis labeled P (atm). The path is counterclockwise and runs through corner points a–d in the following order:a (1.0, 6.0), b (1.0, 1.5), c (8.0, 1.5), d (8.0, 6.0). A rectangular path is plotted on a PV diagram which has a horizontal axis labeled V (L), and a vertical axis labeled P (atm). The path is clockwise and runs through corner points a–d in the following order:a (1.0, 6.0), b (8.0, 6.0), c (8.0, 1.5), d (1.0, 1.5).

Question

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 8.0 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 8.0 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(f)Which of the following PV diagrams matches the process outlined in parts (a)–(d)? Let points a–d in the diagram refer to the state of the gas at the start of each of the respective processes described in parts (a)–(d) above.A rectangular path is plotted on a PV diagram which has a horizontal axis labeled V (L), and a vertical axis labeled P (atm). The path is clockwise and runs through corner points a–d in the following order:a (1.0, 1.5), b (1.0, 6.0), c (8.0, 6.0), d (8.0, 1.5). A rectangular path is plotted on a PV diagram which has a horizontal axis labeled V (L), and a vertical axis labeled P (atm). The path is counterclockwise and runs through corner points a–d in the following order:a (8.0, 1.5), b (8.0, 6.0), c (1.0, 6.0), d (1.0, 1.5). A rectangular path is plotted on a PV diagram which has a horizontal axis labeled V (L), and a vertical axis labeled P (atm). The path is counterclockwise and runs through corner points a–d in the following order:a (1.0, 6.0), b (1.0, 1.5), c (8.0, 1.5), d (8.0, 6.0). A rectangular path is plotted on a PV diagram which has a horizontal axis labeled V (L), and a vertical axis labeled P (atm). The path is clockwise and runs through corner points a–d in the following order:a (1.0, 6.0), b (8.0, 6.0), c (8.0, 1.5), d (1.0, 1.5).

Accepted Answer

Answer:
Given Values,
Initial Volume(Vi)=1 L
Final Volume(Vf)=8.0 L
Pressure(P)=6.0 atm