College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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A 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.)
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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?Jarrow_forwardA 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…arrow_forwardConsider 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 Answerarrow_forward
- 1 kg of air is reversibly heated at constant pressure from an initial state of 300 K and 1 bar until its volume increases to three times its initial value. Determine the internal energy changes, entapy, and heat and work requirements for this process. The molar mass of air is 28.9 g / mol. Write down all your assumptions made. w= dU= dH= Q=arrow_forwardThe 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 < 1 of 1 V (m³) Part D Determine AEth, Ws, and Q for 3→1. Enter your answers numerically separated by commas. Express your answer using two significant figures. VE ΑΣΦ AEth, Ws, Q = Submit Part E Request Answer What is the engine's thermal efficiency? Express your answer using two significant figures. ? Jarrow_forwardLook 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 Jarrow_forward
- 4.5 mol of monatomic gas A interacts with 2.9 mol of monatomic gas B. Gas A initially has 9000 J of thermal energy, but in the process of coming to thermal equilibrium it transfers 800 J of heat energy to gas B. How much thermal energy did gas B have initially? Express your answer with the appropriate units. ► View Available Hint(s) EBi = Submit Value 4 Previous Answers Units ?arrow_forwardFind the total change in the internal energy of a gas that is subjected to the following two-step process. In the first step the gas is made to go through isochoric heating until it gains 5963 J and its pressure is 2.72 105 Pa. In the second step it is subjected to isobaric adiabatic compression until its volume decreases by 7.30 10-3 m3. What is the total change in internal energy of this gas?arrow_forwardProblem 4: Consider a cylinder with a movable piston containing n moles of an ideal gas. The entire apparatus is immersed in a constant temperature bath of temperature T Kelvin. The piston pushes slowly outward on an external body which matches the force momentarily at each instant so that the gas expands quasi-statically from a volume V1 to V2 at constant temperature T. The isothermal process is shown in the figure above, where the pressure p is related to the volume V by the ideal gas law as follows: pV = nRT, where R is the gas constant. Part (b) For n = 3 moles, T = 350 K, and V2 = 2.5V1, determine the work done by the gas on the external body. The gas constant is R = 8.314 J K-1 mol-1.arrow_forward
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