A 2.00-mol sample of a diatomic ideal gas expands slowly and adiabatically (y =1.4) from a pressure of 5.00 atm and a volume of 12.0 L to a final volume of 30.0 L. Find the work done (in kJ ) on the gas. -4.66 O-0.55 -2.33 -1.50 -4.44
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A: “Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…
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- An ideal gas initially at Pi=2atm Vi=3m^3and Ti follows the cycle shown. a. Find the net work done by the gas per cycle b. If Ti=25C what is the number of moles in gasThe PV diagram shows three moles of an ideal monatomic gas going through a cyclic process. The following information is given for the gas: Pa = Pd- 1.00 x 105 N/m2 : Pb - Pc- 2.00 x 105 N/m? ; Va-Vb = 0.100 m3: Vc-Vd - 0.300 m3: Cp- (5/2) R: Cv= (3/2)R; R-8,31 J/mole K. Determine each of the following with three significant figures: a) The total heat absorbed during the cycle in kilo Joules. b) The total heat rejected during the cycle in kilo Joules. c) The work done by the gas during one cycle in kilo joules d) The total change in internal energy during the cycle e) The efficiency of the cycle f) The minimum temperature the gas in Kelvins during the cycle g) The maximum temperature of the gas in Kelvins during the cycle h) The efficiency of a Carnot engine operating between the minimum and maximum temperatures i) The change in entropy for the process a-b étv MacBook Air 80 888 DII F2 F3 F4 F5 F6 F7 F8 F9 @ #3 $4 3 4 6. 7 8 W Y4(1) Two moles of an ideal diatomic gas (y = 3) are taken around the cycle of Fig. 21.25. Find: (a) the heat absorbed or rejected in each segment; (b) the work done per cycle; (c) the efficiency. 200 100 P (kPa) 44 Isotherm b 10 FIGURE 21.25 Problem 4 V (L)
- A closed canister of gas is composed of 1 mol = 6.022E[23] particles. The gas undergoes an isothermal compression (T=400 K) from 0.01 m^3 to 0.005 m^3. The initial pressure of the gas is 3.32E[5] Pa. How much work is done on the gasAn ideal monatomic gas in a container expands isobarically from an initial temperature of 315.00 K and volume of 2.12 m (Point A)to a final volume of 12.90 m (Point B). The initial pressure is 152000 Pa. It then decreases in pressure following an isochoric process to a pressure of 101000 Pa (Polnt C). At this point it decreased isobarically to Its Initial volume (Point D), followed by an isochoric retum to Its Initial point (Point A). (a) Calculate the number of moles of the gas in the container. 123.04 v moles (b) Caloulate the temperature of the gas at Point B. * *C -221.23 (c) Calculate the temperature of the gas at Point C. -63,89 . x °C (d) Calculate the temperature of the gas at Point D. -238.6 x °C (e) Calculate the work done by or on the gas between Points A and B. 1638560 23 (1) Calculate the energy entering ar leaving the gas between Points A and B. 1234836 (a) Calculate the energy entering or leaving the gas between Points B and C. 241748.7 23 (h) Caloulate the work done by…An ideal gas initially at 350 K undergoes an isobaric expansion at 2.50 kPa. The volume increases from 1.00 m³ to 3.00 m³ and 12.0 kJ is transferred to the gas by heat. (a) What is the change in internal energy of the gas? KJ (b) What is the final temperature of the gas? K
- As a 1.00 mol sample of a monoatomic ideal gas expands adiabatically, the work done by the gas is 2.50 x 10° Joules. The initial temperature of the gas is 600 K, and its initial pressure is 4.00 x 10 N/m2. Find: 1. The final temperature. 2. The final pressure.25.0 moles of an ideal gas, at an initial pressure of 3.50 x105 N/m2 and an initial volume of 1.400 m3, undergo a small isothermal expansion to a volume of 1.420 m3. Find the work done by the gas.The temperature at state A is 20.0ºC, that is 293 K. During the last test, you have found the temperature at state D is 73.0 K and n = 164 moles for this monatomic ideal gas. What is the work done by the gas for process D to B, in MJ (MegaJoules)? 1.0 atm = 1.00 × 105 Pa.
- An ideal gas initially at 325 K undergoes an isobaric expansion at 2.50 kPa. The volume increases from 1.00 m³ to 3.00 m³ and 12.2 kJ is transferred to the gas by heat. (a) What is the change in internal energy of the gas? KJ (b) What is the final temperature of the gas? KAn ideal gas has been subjected transformations AB and BC (see pic/link) Find the change in the inner energy during the whole transformation (AB+BC), if the change in volume is 1 m3.Consider a monatomic ideal gas with initial pressure and temperature 4.50 × 105 Pa and 293 K, respectively. Assume the gas expands at constant pressure from a volume of 1.25 L to 3.20 L. 1) Find the work done on the environment. 2) Find the change in internal energy of the gas. 3) Find the thermal energy absorbed by the gas during this process. 4) Use the molar heat capacity at constant pressure to find the thermal energy absorbed.