Obtain heat q and work w given to an ideal gas (1 moD system and the...
A monatomic ideal gas is initially at volume, pressure, temperature (Vi, Pi, Ti). Consider two different paths for expansion. Path 1: The gas expands quasistatically and isothermally to (Va, Pz. T2) Path 2: First the gas expands quasistatically and adiabatically (V2, P.,T-),where you will calculate P T. Then the gas is heated quasistically at constant volume to (Va. P2 T1). a. Sketch both paths on a P-V diagram. b. Calculate the entropy change of the system along all three segments...
11. A reversible heat engine uses a three-step cycle consisting of an isothermal expansion at temperature Ti, a constant volume cooling to temperature T2, and adiabatic compression back to the initial state. (a) Sketch the P-V diagram (b) If 1 mole of a van der Waals gas is used the working material, the efficiency of this engine is defined to be E = Suppose that the heat capacity of gas is independent of temperature. Show that the efficiency of the...
Please help and show work. Thanks! (3). A sample of 1.00 mol ideal gas molecules with Cp, m = 7/2 R is initially at p = 1.00 bar and V = 22.44 L and then put thought the following cycle in reversible processes: (a) constant-pressure expansion to twice its initial volume, (b) constant-volume cooling to its initial temperature, (c) isothermal-compression back to 1.00 bar. Calculate q, w, AU, AH, AS for each process and for the whole cycle. (20 pts)
14. A reversible heat engine of one mole of van der waals gas uses a four-step cycle consisting of the following steps. Step 1: Adiabatic expansion until the volume with 4V Step 2: Constant-volume cooling Step 3: Adiabatic compression until V Step 4: Constant-volume heating Assume that the heat capacity is approximately constant within the CP,m 3 2, respectively operating temperature range and Cvm Calculate the total work in terms of temperature during one cycle.
14. A reversible heat engine of one mole of van der Waals gas uses a four-step cycle consisting of the following steps. Step 1: Adiabatic expansion until the volume with 4V Step 2: Constant-volume cooling Step 3: Adiabatic compression until v Step 4: Constant-volume heating Assume that the heat capacity is approximately constant within the Cp,m operating temperature range and respectively Cv.m Calculate the total work in terms of temperature during one cycle.
(3). A sample of 1.00 mol ideal gas molecules with Com= 7/2 R is initially at p = 1.00 bar and V = 22.44 L and then put thought the following cycle in reversible processes: (a) constant-pressure expansion to twice its initial volume, (b) constant volume cooling to its initial temperature, (c) isothermal-compression back to 1.00 bar. Calculate q, w, AU, AH, AS for each process and for the whole cycle. (20 pts)
A sample of 1.00 mol ideal gas molecules with Cpm 7/2 R is initially at p 1.00 bar and V 22.44 L and then put thought the following cycle in reversible processes: (a) constant-pressure expansion to twice its initial volume, (b) constant-volume cooling to its initial temperature, (c) isothermal-compression back to 1.00 bar. Calculate q, w, AU, AH, AS for each process and for the whole cycle. (20 pts)
12. 1 mole of an ideal gas undergoes an isothermal expansion from V1 = 1.4L followed by isobaric compression, p = cst.if P1 = 4.4atm, p2 = 1.7atm → ?- m calculate the work done by gas during the expansion. Express work in J = N·m! • For isothermal processes, AT = 0 T = cst → w=faw=fr&v=/MRT AV 594 Show your work like: `x-int_0^5 v(t)dt rarr x-int_0^5(-4*t)dt=-50 m 13. 1 mole of an ideal gas undergoes an isothermal expansion...
1 00 mol of a perfect gas initially at 1 00 atm and 298 K with Cpm (7/2) R is put through the following cycle () constant-volume heating to twice its initial temperature (u) reversible, adiabatic expansion back to its onginal temperature () reversible, isothermal compression back to 1 00 atm Calculate q, w, AU, and AH for each of the steps ()-(m) above Hints First calculate AU, then q AH easily follows Remember the meaning of an adiabatic process...
(3). A sample of 1.00 mol ideal gas molecules with Cp, m = 7/2 R is initially at p = 1.00 bar and V = 22.44 L and then put thought the following cycle in reversible processes: (a) constant-pressure expansion to twice its initial volume, (b) constant-volume cooling to its initial temperature, (c) isothermal-compression back to 1.00 bar. Calculate q, w, ΔU, ΔH, ΔS for each process and for the whole cycle. (20 pts)