A gas increases in pressure from 2.00 atm to 6.00 atm at a constant volume of 1.00 m³ and then expands at constant pressure to a volume of 3.00 m³ before returning to its initial state as shown in the figure below. How much work is done in one cycle? kJ P (atm) -V (m³) 6.00- 4.00 2.00 1.00 2.00 3.00 Ⓡ

Problem 7:   Mike is trying to determine the amount of work his experimental air compressor is doing. He finds that the amount of work done (W) depends on the rate of change in pressure created by the pump (dP/dt) with respect to time, the volume of air inside the pump (V), and the speed at which air moves out of the pump (v). Part (a)  After an initial test run Mike determines that his pump does 280 J of work (W1). Calculate the amount of work (W2) in J that Mike would expect his pump to do if its volume were 3.5 times greater. W2 = ______ Part (b)  If Mike wanted to reduce the volume of his pump by a factor of 6.5, yet keep it doing the same amount of work at the same airspeed, by what numerical factor (B) would he have to increase the rate of change in pressure (dP/dt) his pump creates? B = ______

An ideal gas is taken through a quasi-static process described by P = aV2, with a = 2.20 atm/m6, as shown in the figure. The gas is expanded to twice its original volume of 1.00 m3. How much work is done on the expanding gas in this process?

6.

The volume and pressure of a gas are 8.00 m³ and 2.1 atm respectively. (a) If this gas expands to three times its initial volume while the pressure is constant, determine the work done on the gas. (b) On the other hand, if this gas is compressed to one-third its initial volume while the pressure is constant, determine the work done on the gas. Additional Materials MReading

The drawing shows the expansion of three ideal gases. Rank the gases according to the work they do, largest to smallest. A, B, C. OC, A, B . A and B (a tie), C OB, C, A B and C (a tie), A Pressure B Volume C

The initial pressure and volume of a diatomic gas (? = 1.40) immediately after combustion inside an automobile engine are 2.83 ✕ 106 Pa and 5.89 ✕ 10−5 m3 respectively. In the next step of the cycle, the piston moves outward allowing the gas to expand until its final volume is 2.85 ✕ 10−4 m3. Note that during this expansion, there is no energy transfer. Determine the work done during the expansion of the gas. ______J

An ideal gas is taken through a quasi-static process described by P = ?V2, with ? = 6.00 atm/m6, as shown in the figure. The gas is expanded to twice its original volume of 1.00 m3. How much work is done on the expanding gas in this process? MJ

Calculate the amount of work W done on a gas that undergoes a change of state described by the pV diagram shown in the figure. 4.00 3.00 -400 W = J 2.00 - Incorrect %3D 1.00 1.00 2.00 3.00 4.00 V (m³) p (10² Pa)

An ideal gas expands at constant pressure (P1=6.00x105 Pa) from a volume VA=1.00 m3 to a volume VB=4.00 m3. Next, the gas is compressed to a volume VC=2.50 m3 and a pressure P2=2.00x105 Pa. The gas finally returns to its initial state (P1=6.00x105 Pa and VA=1.00 m3). Work is the area under the PV-diagram curve and the sign matters. (See Figure and ignore the isotherms. They are not needed to solve the problem. Note, the figure is labeled in atmospheres while the problem statement uses Pascals—use Pascals) How much work is done on the gas during the first (isobaric) process? How much work is done on the gas during the second (general process)? How much work is done on the gas during the third (general process) How much work is done during one complete cycle of this process?