When gas expands in a cylinder with radius r, the pressure at any given time is a function of the volume: P = P(V). The force exerted by the gas on the piston (see the figure) is the product of the pressure and the area: F = mr*P. Show that the work done by the gas when the volume expands from volume V, to volume Vz is w = (* PdV Jv. V piston head
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- Pls explain it in terms of P and V also if possible and in detail im a little weak.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).An engine has a hot reservoir of 520K and a low-temperature reservoir of 330K. What is the theoretical efficiency of this engine? Answer in units of %
- A gas expands from I to F in the figure below. The energy added to the gas by heat is 212 J when the gas goes from I to F along the diagonal path. 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 (2,4), extends vertically down to point B (2,1), then extends horizontally to point F (4,1). The blue path starts at point I (2,4), and extends down and to the right to end at point F (4,1). The orange path starts at point I (2,4), extends horizontally to the right to point A (4,4), then extends vertically down to end at point F (4,1). (a) What is the change in internal energy of the gas? Use the relations between various features of the graph and the work done on the gas to find the energy added by work and then use your result to find the change in internal energy of the gas. J(b) How much energy must be added to the gas by heat for the indirect path IAF to give the same change in…When air expands adiabatically (without gaining or losing heat), its pressure P and volume V are related by the equation PV to the power of 1.4 = C where C is a constant. Suppose that at a certain instant the volume is 480 cubic centimeters and the pressure is 75 kPa and is decreasing at a rate of 10 kPa/minute. At what rate in cubic centimeters per minute is the volume increasing at this instant? Please Write legibleA mixture of xenon and oxygen gas is compressed from a volume of 87.0 L to a volume of 81.0 L, while the pressure is held constant at 84.0 atm. Calculate the work done on the gas mixture. Be sure your answer has the correct sign (positive or negative) and the correct number of significant digits. KJ x10 X
- Look at the P-V diagram below (Diagram 1). Calculate the work done by the gas for the paths A, B and C. Assume that in Diagram 1, P1 = 1 atm, P2 = 4 atm, V1 = 5 L, V2 = 15 L. a) WA = 1013 J, WB = 0, WC = -2533 J b) WA = 0.01 J, WB = 0, WC = -0.025 J c) WA = 2533 J, WB = 0, WC = -1013 J Calculate the work done by the gas for the path AB in Diagram 2. Use the data: P1 = 1 atm, P2 = 4 atm, V1 = 5 L, V2 = 20 L. (Path AB is an "isothermal" which means the temperature T is constant on this path). a) 0.012 J b) 1220 J c) 0.0278 J d) 2809 JThe heat supplied is 500 J. The heat loss to the environment is 160 J. Step 2 Calculation: Write the expression for the work output from the heat engine. W=Q1-Q2 Here, W is the useful workout, Q1 is the supplied heat, and Q2 is the heat loss. Substitute, all known values in the above expression. W=400 J-160 J=240 J Thus, the useful work is 240 J. What is the efficiency of the heat engine in the preceding problem at top? a) 32% b) 54% c) 68%. d) 75% e) 175%-70 J of work are done on the gas in the process shown in (Figure 1). Figure p (kPa) P₁ 0+ 0 100 200 300 < 1 of 1 V (cm³) Part A What is p₁ in kPa? Express your answer in kilopascals. P1 = Submit VE ΑΣΦ Provide Feedback Request Answer ***** ? kPa
- Gas in a cylinder similar to the one shown in the figure moves a piston with area 0.207 m2 as energy is slowly added to the system. If 2.27 103 J of work is done on the environment and the pressure of the gas in the cylinder remains constant at 1.01 105 Pa, find the displacement of the piston.The volume of a gas exiting a delivery device is 0.2 liters at a temperature of 150C. The gas then heats up to 500C before it is delivered to a patient. Assume the pressure is constant. Determine the volume of gas when the patient receives it. Use the temperature in K.