
College Physics
11th Edition
ISBN: 9781305952300
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Publisher: Cengage Learning
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In an engine, 0.25 mol of an ideal monatomic gas in the cylinder expands rapidly and
adiabatically against the piston. In the process, the temperature of the gas drops from 1150 K to
400 K. How much work does the gas do?
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- An ideal gas is taken through a quasi-static process described by P = aV2, with a = 2.20 atm/m6, as shown in the figure. The gas is expanded to twice its original volume of 1.00 m3. How much work is done on the expanding gas in this process?arrow_forwardConsider 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 is then pushed slowly so that the pressure of the gas changes quasi-statically from p1 to p2 at constant temperature T. Find the work done by the gas in terms of n, R, T, p1, and p2.arrow_forwardAn ideal gas is taken through a quasi-static process described by P = ?V2, with ? = 6.00 atm/m6, as shown in the figure. The gas is expanded to twice its original volume of 1.00 m3. How much work is done on the expanding gas in this process? MJarrow_forward
- A sample of gas expands from 1.0 m³ to 4.0 m³ while its pressure decreases from 40 Pa to 10 Pa. How much work is done by the gas if its pressure changes with volume via (a) path A, (b) path B, and (c) path C in the figure? Pressure (Pa) 40 30 20 10 ( C A 1.0 2.0 3.0 4.0 Volume (m³) (b) Number B (a) Number i (c) Number Units Units Unitsarrow_forwardA cylinder with a piston holds 4.50 moles of a monatomic gas. The gas in the cylinder absorbs 935 J of energy due to the higher temperature of the environment. At the same time, the cylinder expands to a larger volume, doing 152 J of work on the environment. (a) What is the change in internal energy of the gas in the cylinder (in J)? (b) What is the change in temperature of the gas (in K)?arrow_forwardThe temperature of 10 moles of an ideal gas is 1000 K. Compute the work done by the gas when it expands isothermally to three times its initial volume. Given: Boltzmann constant: k = 1.38 x 10–23 J/K, Ideal Gas Constant: R = 8.31 J/(mol K) A. 91300 J B. 9130 J C. 913 J D. 91 J E. 9 Jarrow_forward
- An ideal gas with γ = 1.40 occupies 8.26 L at 335 K and 79.2 kPa pressure. It's compressed adiabatically to one-third of its original volume, then cooled at constant volume back to 335 K. Finally, it's allowed to expand isothermally to its original volume. How much work is done on the gas?arrow_forwardThe volume of an ideal gas is increased from 1 m3 to 3 m3 at a constant pressure of 1000 Pa How much work is done by the gas in the expansion? W= _________ J If no heat has been added or removed, what is the change in internal energy of the gas? DU = ________ Jarrow_forwardWhat is the theoretical maximum efficiency of a heat engine (Carnot engine) operating between 150.0 C and 400.0 C? O 0.3714 O 0.6250 O 0.3750 O 0.2500 O 0.3560arrow_forward
- A sample of n = 2.00 moles of monoatomic ideal gas expands adiabatically, the work done on the gas is W = -5.00 x 103 J. The initial temperature and pressure of the gas are Ti = 600 K and Pi = 4.05 x 105 Pa. Calculate: a) the final temperature of the gas; b) the final pressure of the gas. R = 8.314 J/mol Karrow_forwardtab Consider the following figure. (The x axis is marked in increments of 2.5 m³.) P (Pa). esc caps lock 6 x 106 4 X 106 2 x 106 V (m³) 1 (a) Determine the work done on a gas that expands from i to f as indicated in the figure. MJ (b) How much work is performed on the gas if it is compressed from f to / along the same path? MJ ! 1 F1 A NO 2 N FF 200 F2 W S # 3 80 F3 X E * D $ 4 F4 R C % 5 F MacBook Air T V の‥ 6 F6 G & 7 F7 H B 2 Earrow_forwardA sample of N molecules of ideal gas expands with no energy transferred into or out of the gas by heating. The pressure and volume of the gas are measured as it expands, and a graph of pressure as a function of volume is used to calculate the work done by the gas. Which of the following indicates a quantity for the gas that can be determined using the calculated work and justifies why it can be determined? Select two answers. The magnitude of the change in internal energy of the gas can be determined. If no energy is transferred by heating, the magnitude A of the change in internal energy equals the magnitude of the work done by the gas. The change in potential energy of the gas can be determined. The internal energy of the gas equals its potential energy plus its kinetic energy, and the magnitude of the change in kinetic energy of the gas equals the work done by the gas. The magnitude of the change in the average kinetic energy of a molecule of the gas can be determined. The magnitude…arrow_forward
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