Find the numeric value of the work done on the gas in the following figures. (Enter your answers in J.) HINT (a) P (105 Pa) 6.00 4.00 2.00 3.00 6.00 9.00 V (m3) J (b ) P (10' Pa) 6.00 4.00 2.00 3.00 6.00 9.00 V (m3) JA gas expands from I to F in the figure below. The energy added to the gas by heat is 250 J when the gas goes from I to F along the diagonal path. P (aun) 2 B F 3 4 V (liters) 0 2 (a) What is the change in internal energy of the gas? (b) How much energy must be added to the gas by heat for the indirect path IAF to give the same change in internal energy?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 5.0 L at a constant pressure of 6.5 atm. (b) Second, the gas is cooled at constant volume until the pressure falls to 1.5 atm. (c) Third, the gas is compressed at a constant pressure of 1.5 atm from a volume of 5.0 L to 1.0 L. (Note: Be careful of signs.) (d) Finally, the gas is heated until its pressure increases from 1.5 atm to 6.5 atm at a constant volume. (e) What is the net work done by the gas on its environment during the complete cycle described above? (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. P( atm) P( atm) P( atm) P ( atm) C 6 6 5 5 5 4 3 2 d a 1 V (L) V (L) V (L) V (L) O 1 2 4 5 6 0 o 6 0 1 2 5 6