A 3 mole sample ideal gas is confined in a cylinder that is carried through a closed cycle. The gas is initially at 70 atm and at 300 K. First, its pressure is tripled under constant volume. Then, it expands isothermally to its original pressure. Finally, the gas is compressed isobarically to its original volume (see the figure). What was the net work done (in MJ) on the gas for this cycle? (Hint: clockwise cycle causes negative work done) (Answer 2 decimal places) 3P Isothermal P V(L) Ve
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- A 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?JOne method of converting heat transfer into doing work is for heat transfer into a gas to take place, which expands, doing work on a piston, as shown in the figure below. (a) Is the heat transfer converted directly to work in an isobaric process, or does it go through another form first? Explain your answer. (b) What about in an isothermal process? (c) What about in an adiabatic process (where heat transfer occurred prior to the adiabatic process)?1.50 mol of an ideal gas with a constant ratio of heat capacities at constant pressure and volume y =2 = 1.40 is taken through the (reversible) cycle shown in the figure below. The process A - B is an expansion at constant temperature, whereas B →C and C → A are constant-pressure compression and constant-volume processes, respectively. 040 a) What is the temperature TA of the gas at A? P (atm) For the cycle as a whole, Isothermal b) calculate the (net) work done W (by the gas), 04021 c) calculate the (total) heat transfer Q, process d) find the change in the (internal) energy U of the gas, B e) verify that the 1" law of thermodynamics C is satisfied. 1 liter=1.00x10 m , 1 atm=1.01x105 N/m² , kɛ = 1.38x1023 J/K , NA=6.02x1023 mol. -V (liters) 50 10
- Consider the following two-step process. Heat is allowed to flow out of an ideal gas at constant volume so that its pressure drops from P₁ = 2.7 atm to P2 = 1.7 atm. Then the gas expands at constant pressure, from a volume of V₁ = 5.9 L to V₂ = 9.6 L, where the temperature reaches its original value. See the figure ( Figure 1). Figure P P₁ P2 σ P D HÅ AU = Value Units Submit Request Answer Part C 1 of 1 wwwww ? Calculate the total heat flow into or out of the gas. Express your answer to two significant figures and include the appropriate units. ☐ με Value Units Submit Request AnswerWhen 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 legibleKindly provide a factual solution and answer. Thank you. The question is posted below: Two moles of an ideal gas are heated at constant pressures from ? = 27℃ to ? = 107℃. (a) Draw a pV-diagram for this process. (b) Calculate the work done by the gas
- Please solve this question in 30 minutes but correctlyLook 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 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.)
- Please explain where was 3/2 attained? Where did it came from from the formula below?In the figure below, the change in internal energy of a gas that is taken from A to C along the blue path is +900 J. The work done on the gas along the red path ABC is -570 J. (b) If the pressure at point A is five times that of point C, what is the work done on the system in going from C to D?In the figure below, the change in internal energy of a gas that is taken from A to C along the blue path is +870 J. The work done on the gas along the red path ABC is -520 J. (a) How much energy must be added to the system by heat as it goes from A through B to C? (b) If the pressure at point A is five times that of point C, what is the work done on the system in going from C to D? (c) What is the energy exchanged with the surroundings by heat as the gas goes from C to A along the green path? (d) If the change in internal energy in going from point D to point A is +555 J, how much energy must be added to the system by heat as it goes from point C to point D?