An ideal gas expands at a constant pressure of 6.00 × 105 Pa from a volume of 1.00 m3 to a volume of 4.00 m and then is compressed to one-third that pressure and a volume of 2.50 m3 as shown in Figure P12.30 before returning to its initial state. How much work is done in taking a gas through one cycle of the process shown in the figure?

Consider a process that uses n moles of a monatomic ideal gas operating through a Carnot cycle. The initial temperature and pressure of the gas are T1 and P1, respectively. Consider steps 1 → 2, 2 → 3, 3 → 4, and 4 → 1. Write an expression for the volume V4 in terms of V1.  Write an expression for P4 in terms of n, R, T4 and V4.

Pressure (atm) 12 10 80 6 4 2 0 0 5 O c.-130 J O d. 130 J 10 15 Volume (L) 20 25 A gas expands and its pressure and volume are recorded, as shown above. What is the work done by the gas? a. 13,172 J b.-13,172 J

Question 1. An ideal diatomic gas contracts from 1.25 m³ to 0.500 m³ at a constant pressure of 1.50 x 10°P.. Draw a PV diagram and name this process that occurs at constant pressure. If the initial temperature is 425 K, calculate (a) the work done on the gas, (b) the change in internal energy of the gas, (c) the energy transfer, Q, and, (d) the final temperature.

A gas in a cylinder is held at a constant pressure of 2.20×105 Pa and is cooled and compressed from 1.90 m3 to 1.10 m3 . The internal energy of the gas decreases by 1.15×105 J. a) Find the work done by the gas. Express your answer in joules b)Find the amount of the heat that flowed into or out of the gas. Express your answer in joules to two significant figures. c) State the direction (inward or outward) of the flow.

You have an ideal gas that expands from 0.50 to 4.0 L at a constant temperature of 300K. The gas does 250 J of work. How many moles of gas are there?

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 5.5 L at a constant pressure of 5.5 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 5.5 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 5.5 atm at a constant volume. (J) (e) Find the net work done during the complete cycle. (J)

A substance undergoes the cyclic process shown in Figure P12.65. Work output occurs along path AB while work input is required along path BC, and no work is involved in the constant volume process CA. Energy transfers by heat occur during each process involved in the cycle. (a) What is the work output during process AB? (b) How much work input is required during process BC? (c) What is the net energy input Q during this cycle?

When a gas follows path 123 on the PV diagram in Figure P12.66, 418 J of energy flows into the system by heat and 2167 J of work is done on the gas. (a) What is the change in the internal energy of the system? (b) How much energy Q flows into the system if the gas follows path 143? The work done on the gas along this path is 263.0 J. What net work would be done on or by the system if the system followed (c) path 12341 and (d) path 14321? (e) What is the change in internal energy of the system in the processes described in parts (c) and (d)?

Calculate the temperature of the gas (in K) at Point A.  K (b) Calculate the temperature of the gas (in K) at Point B.  K (c) Calculate the temperature of the gas (in K) at Point C.  K (d) Calculate the work done during process AB.  J (e) Calculate the change in internal energy for the process AB.  J (f) Calculate the heat gained or lost during process AB.  J (g) Calculate the work done during process BC.  J (h) Calculate the heat gained or lost during process BC.  J (h) Calculate the work done during process CA.  J (i) Calculate the heat gained or lost during process CA.  J (j) Calculate the efficiency (as a percent) for this cycle.  %