A gas is taken through the cyclic process described in the figure. (The x axis is marked in increments of 5 m³.) P (kPa) 8 6 2 B A - V (m³) (a) Find the net energy transferred to the system by heat during one complete cycle. kJ (b) If the cycle is reversed-that is, the process follows the path ACBA-what is the net energy input per cycle by heat? kJ
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- A gas is taken through the cyclic process described in the figure. (The x axis is marked in increments of 2.5 m³.) P (kPa) 8 6 4 2 A B C -V (m³) (a) Find the net energy transferred to the system by heat during one complete cycle. kJ (b) If the cycle is reversed-that is, the process follows the path ACBA-what is the net energy input per cycle by heat? kJA gas expands from I to F in the figure below. The energy added to the gas by heat is 302 J when the gas goes from I to Falong 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?J(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?JA 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 legible(a) What is the best coefficient of performance for a refrigerator that cools an environment at -28 C and has heat transfer to another environment at 49 ° C? COP, = 3.18 ref (b) How much work must be done for a heat transfer of 4186 kJ from the cold environment? W = 1316.4 kJ (c) What is the cost of doing this if the work costs 10.0 cents per 3.6x10° J (a kilowatt-hour)? Cost in cents = 3.66 (d) How many kJ of heat transfer, Q, occurs into the warm environment? Qn = 1314.5The heat engine shown in the figure uses 2.0 mol of a monatomic gas as the working substance. (Figure 1) Figure p (kPa) 600 400 200 0 0 0.025 0.050 < 1 of 1 V (m³) Part D Determine AEth, Ws, and Q for 3→1. Enter your answers numerically separated by commas. Express your answer using two significant figures. VE ΑΣΦ AEth, Ws, Q = Submit Part E Request Answer What is the engine's thermal efficiency? Express your answer using two significant figures. ? J
- In an isochoric process, one mole of an ideal gas of rigid diatomic molecules at volume V is taken from an initial temperature T to a final temperature 4T. Using the convention that heat is positive when it is absorbed by the system, what is the heat transfer in terms of R and T?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 JA gas is compressed inside a cylinder. An average force of 10 N acts to move the piston 2.6 m. During the compression, 12 J of heat are conducted away from the gas. What is the change in internal energy of the gas? Calculate answer to one decimal.
- A container is filled with an ideal diatomic gas to a pressure and volume of P1 and V1, respectively. The gas is then warmed in a two-step process that increases the pressure by a factor of five and the volume by a factor of four. Determine the amount of energy transferred to the gas by heat if the first step is carried out at constant volume and the second step at constant pressure. (Use any variable or symbol stated above as necessary.)You would like to raise the temperature of an ideal gas from 295 K to 960 K in an adiabatic process. a)What compression ratio will do the job for a monatomic gas? b)What compression ratio will do the job for a diatomic gas?Needs Complete typed solution with 100 % accuracy.