An ideal gas is taken from an initial state i to a final state f along two different paths as shown in the diagram below. For path 1 (abcd), the gas undergoes (in order) adiabatic expansion, isothermal expansion, adiabatic compression, and isothermal compression. The magnitudes of the work done during the four steps of path 1 are 31.0 J, 29.8 J, 67.6 J and 9.28 J, respectively. If the gas instead goes along path 2 (efgh) to get from i to f, what is the change in internal energ

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A 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…

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 Answer

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.

The 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 V (m³) Part A Determine T₁, T₂, and T₁. Enter your answers numerically separated by commas. Express your answer using two significant figures. T₁ T₂. T₂ = 600,1800,1200 K Submit Previous Answers ✓ Correct Part B Determine AEth. W. and Q for 1-2. Enter your answers numerically separated by commas. Express your answer using two significant figures. AEth. Ws. Q = 3.0x104.1.3x104.4.3x104 J Submit ✓ Correct ▾ Part C Previous Answers Determine AEth. W. and Q for 2-3. Enter your answers numerically separated by commas. Express your answer using two significant figures. AEth. Ws. Q= Submit ▾ Part D ΠΑΣΦ Request Answer I ? J

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