14 (a) For 1.0 mol of a monatomic ideal gas taken through the cycle in Fig. 20-24, where V₁ = 4.00V, what is W/poVo as the gas goes from state a to state c along path abc? What is AEint/PoVo in go- ing (b) from b to c and (c) through one full cycle? What is AS in going (d) from b to c and (e) through one full cycle? Pressure 2po Po a Vo Volume Figure 20-24 Problem 14. b V₁

14 (a) For 1.0 mol of a monatomic ideal gas taken through the cycle in Fig. 20-24, where V₁ = 4.00V, what is W/poVo as the gas goes from state a to state c along path abc? What is AEint/PoVo in go- ing (b) from b to c and (c) through one full cycle? What is AS in going (d) from b to c and (e) through one full cycle? Pressure 2po Po a Vo Volume Figure 20-24 Problem 14. b V₁

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter3: The First Law Of Thermodynamics

Section: Chapter Questions

Problem 92AP: Two moles of a monatomic ideal gas such as oxygen is compressed adiabatically and reversibly from a...

See similar textbooks

Similar questions

In a diesel engine, the fuel is ignited without a spark plug. Instead, air in a cylinder is compressed adiabatically to a temperature above the ignition temperature of the fuel; at the point of maximum compression, the fuel is injected into the cylinder. Suppose that air at 20 C is taken into the cylinder at a volume V1 and then compressed adiabatically and quasi-statically to a temperature of 600 C and a volume V2 . If =1.4 , what is the ratio V1/V2 ? (Note: static. In an operating diesel engine, the compression is not quasi-
A cylinder containing three moles of a monatomic ideal gas is heated at a constant pressure of 2 atm. The temperature of the gas changes from 300 K to 350 K as a result of the expansion. Find work done (a) on the gas; and (b) by the gas.
Two moles of nitrogen gas, with =7/5 for ideal diatomic gases, occupies a volume of 102 m3 in an insulated cylinder at temperature 300 K. The gas is adiabatically and reversibly compressed to a volume of 5 L. The piston of the cylinder is locked in its place, and the insulation around the cylinder is removed. The heat-conducting cylinder is then placed in a 300-K bath. Heat from the compressed gas leaves the gas, and the temperature of the gas becomes 300 K again. The gas is then slowly expanded at the fixed temperature 300 K until the volume of the gas becomes 102 m3, thus making a complete cycle for the gas. For the entire cycle, calculate (a) the work done by the gas, (b) the heat into or out of the gas, (c) the change in the internal energy of the gas, and (d) the change in entropy of the gas.
The temperature of n moles of an ideal gas changes from T1 to T2 in a quasi-static adiabatic transition. Show that the work done by the gas is given by W=nR1(T1T2).
With the help of the two preceding problems, show that S between states 1 and 2 of nmoles an ideal gas is given by S=CnplnT2T1nRlnP2P1.
A monatomic ideal gas undergoes a quasi-static process that is described by the function pV=p1+3(vv1) , where the stating state is (p1,v1) and the final state (p2,v2) . Assume the system consists of n moles of the gas in a container that can exchange heat with the environment and whose volume can change freely. (a) Evaluate the work done by the gas during the change in the state. (b) Find the change in internal energy of the gas. (c) Find the heat input to the gas during the change. (d) What ale initial and final temperatures?
If 9.50 moles of a monatomic ideal gas at atemperature of 235 K are expanded isothermally from a volumeof 1.12 L to a volume of 4.33 L, calculate (a) the work done and while the system performs 120 J of work on its surroundings. Howmuch heat was added to the system?
At one atmosphere pressure, pure water ice melts at 0.000 °C. At 16.0 atm, the melting point is -0.115 °C. The density of water is 1.000 g/cm3 at 0 °C, while that of ice is 0.915 g/cm3 From just this information, i.e., no additional thermodynamic data, estimate the entropy of melting (J/molK).
A Carnot engine is operated between two heat reservoirs at temperatures 520 K and 300 K. If the engine receives 6.45 kJ of heat energy from the reservoir at 520 K in each cycle, how many joules per cycle does it reject to the reservoir at 300 K?
Does the internal energy (U) of a perfect gas go up or down with increasing pressure under adiabatic, reversible conditions (i.e. at constant entropy)? Hint: you’re looking for ∂U/∂P)s . and under conditions of constant entropy, the transition must be adiabatic and reversible. As such: ∂U= CV ∂T, and ∂T/∂P )s = V/Cp
A Carnot engine is operated between two heat reservoirs at temperatures of 520 K and 300 K. If the engine receives 6.45 kJ of heat energy from the reservoir at 520 K in each cycle, how many joules per cycle does it reject to the reservoir at 300 K? How much mechanical work is performed by the engine during each cycle?
How much energy must be transferred as heat for a reversible isothermal expansion of an ideal gas at 132C° if the entropy of gas increases by 46.0 J/K?