e volume changes between V1 and 3V1 as shown. e total work done by the gas during the process from point C to point B?
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4P1, and the volume changes between V1 and 3V, as shown.
What is the total work done by the gas during the process from point C to point B?
4P,
V1
3V1
+3P1V1
- 3P¡V1
O +5P¡V1
O - 5P1V1
O No work is done"
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- A monatomic gas in a certain gasoline engine undergoes an Otto cycle. a.) Assume that the pressure is increased by a factor of 1.5 during the adiabatic compression stroke, so that the pressure after this step is P2 = 1.5 P1, where P1 is the initial pressure. Write an equation for the volume V2 in terms of the volume before this step V1. b.) Write an equation for the temperature T2 after the adiabatic compression in terms of the temperature T1 before this step. c.) Assume the pressure is doubled after the isochoric step, such that the pressure after this step is P3 = 2.0 P2. Write an equation for the temperature after this step T3 in terms of a number (carried to two digits) multiplied by the temperature T2 before this step.P Example of calculation of work P = 1 Atm V%= 1 litre iii ii P V V,12 V In this cycle the system, which is an ideal monatomic gas, undergoes first isothermal (i) then adiabatic (ii) compression steps, each of which halve the volume, then returns to its starting point via first isothermal (iii) and then adiabatic (iv) expansions, each of which double the volume. How much work is done by the system during the cycle if P, is 1 atmosphere and V, =1 litre?The thermodynamic cycle of a heat engine using ideal helium gas is shown in the P-V diagram. The ratio of heat capacities y (also called ratio of specific heats) is the ratio of the heat capacity at constant pressure Cp to the heat capacity at constant volume Cy. For ideal helium gas, y = 1.67. Select the stage that is paired correctly with the process it represents in the P-V diagram. 1-2: adiabatic process O2-3: isochoric process 3-4: isothermal process 4-1: isobaric process p (kPa) 0.8 0.6- 0.4- 0.2 0.0 2 0.2 0.4 0.6 1 0.8 V(m³) 1.0
- A monatomic ideal gas is initially in state A. The gas undergoes a transition from state A by the three different processes shown, where process III is isothermal. In which process is energy added to the gas by heating? Explain briefly.Consider a process that uses n moles of a monatomic ideal gas operating through a Carnot cycle. The initial temperature and pressure of the gas are T1 and P1, respectively. Consider steps 1 → 2, 2 → 3, 3 → 4, and 4 → 1. a. In the adiabatic heating, the temperature of the gas is doubled. Write an expression for the volume V3 after this step in terms of V1. b. Write an expression for the volume V4 in terms of V1.A monatomic gas is take through a cycle from A to B to C and back to A. At A the pressure is 100,000 pa, the volume is 4.0 liters, and the temperature is 300K. The gas is compressed adiabatically until the volume is 1.0 liters (at B). How much energy was given to or removed from the gas during the adiabatic process?
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