A cylinder with a frictionless, movable piston like that shown in the figure, contains a quantity...
A cylinder with a frictionless, movable piston like that shown
in the figure, contains a quantity of helium gas. Initially the gas
is at a pressure of 1.00×105Pa, has a temperature of 300K, and
occupies a volume of 1.50L. The gas then undergoes two processes.
In the first, the gas is heated and the piston is allowed to move
to keep the temperature equal to 300K. This continues until the
pressure reaches 2.50×104Pa. In the second process, the gas is
compressed at constant pressure until it returns to its original
volume of 1.50L. Assume that the gas may be treated as ideal.
(Figure 1)
Part A
Find the volume of the gas at the end of the first process. (in L)
Part B
Find the pressure of the gas at the end of the second process. (in Pa)
Part C
Find the temperature of the gas at the end of the second process. (K)
Part D
Find the total work done by the gas in the first process. (in J)
Homework Answers
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A cylinder with a frictionless, movable piston like that shown
in the figure, contains a quantity...
A cylinder fitted with a frictionless piston contains stops arranged as shown in the following figure....
A cylinder fitted with a frictionless piston contains stops
arranged as shown in the following figure. When the piston rests on
the lower stops the volume is 0.4m3 ; when it is in contact with
the upper stops the volume is 0.6m3 . If the piston is not in
contact with the stops, it maintains a constant pressure of 200kPa
in the cylinder. Initially, the cylinder contains air at P1=150kPa
with a temperature of T1=300K. The air is then heated...
1) An ideal gas is enclosed in a cylinder with a movable piston on top of...
1) An ideal gas is enclosed in a cylinder with a movable piston
on top of it. The piston has a mass of 8,000 g and an area of 5.00
cm2 and is free to slide up and down, keeping the pressure of the
gas constant. (a) How much work is done on the gas
as the temperature of 0.105 mol of the gas is raised from 10.0°C to
260°C? J b) What does the sign of your answer to...
A cylinder with a movable piston contains 17.5 moles of a monatomic ideal gas at a...
A cylinder with a movable piston contains 17.5 moles of a monatomic ideal gas at a pressure of 1.66 × 105 Pa. The gas is initially at a temperature of 300 K. An electric heater adds 46600 J of energy into the gas while the piston moves in such a way that the pressure remains constant. It may help you to recall that CPCP = 20.79 J/K/mole for a monatomic ideal gas, and that the number of gas molecules is...
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A gas is confined to a cylindrical volume with a movable piston on one end. Initially, the volume of the container is 0.200 m3, and the gas is at 315 K. The gas is heated, but the piston is moved such that the temperature of the gas remains constant. (a) If there are 2.40 mol of gas in the container, write an equation for the pressure of the gas as a function of the volume of the container. (Assume SI...
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Example: A heat engine contains an ideal gas confined to a cylinder by a movable piston. The gas starts at A, where T-300K B to C is an isothermal T expansion. (a) Find the number of moles (n) of gas (b) Find the temperature at B (c) Find AU, Q and W for the process A to B P(atm) WL) 15 10
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A quantity of neon gas is slowly heated in a cylinder fitted with a movable piston (constant pressure). It is known that 100.0 J of heat is added to the gas and the change in temperature is 4.00 K. How many moles of gas are contained in the cylinder?
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8) Base your answer on the information below. A rigid cylinder is fitted with a movable piston. The cylinder contains a sample of helium gas, He(g), which has an initial volume of 125.0 milliliters and an initial pressure of 1.0 atmosphere, as shown below. The temperature of the helium gas sample is 20.0°C. Handle 0 2.0 Movable piston L3.04 Pressure gauge -1500 mL 125.0 ML -100.0 mL -75.0 mL -50.0 mL -25.0 mL ATM Rigid cylinder Helium gas is removed...
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A cylinder with a movable piston contains 11.7 moles of a monatomic ideal gas at a...
A cylinder with a movable piston contains 11.7 moles of a
monatomic ideal gas at a pressure of 1.32 × 105 Pa. The gas is
initially at a temperature of 300 K. An electric heater adds 43200
J of energy into the gas while the piston moves in such a way that
the pressure remains constant. It may help you to recall that CP C
P = 20.79 J/K/mole for a monatomic ideal gas, and that the number
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A frictionless piston-cylinder device contains air at 300 K and 1 bar and is heated until...
A frictionless piston-cylinder device contains air at 300 K and 1 bar and is heated until its volume doubles and the temperature reaches 600 K. Answer the following: A. You are interested in studying the air in the piston-cylinder device as a closed system. Draw a schematic of your device and the boundary that defines your system. Assume the cylinder is in horizontal position. B. Determine the final pressure of the air at the end of the process, in bar....
A cylinder fitted with a frictionless piston contains stops
arranged as shown in the following figure. When the piston rests on
the lower stops the volume is 0.4m3 ; when it is in contact with
the upper stops the volume is 0.6m3 . If the piston is not in
contact with the stops, it maintains a constant pressure of 200kPa
in the cylinder. Initially, the cylinder contains air at P1=150kPa
with a temperature of T1=300K. The air is then heated...
1) An ideal gas is enclosed in a cylinder with a movable piston
on top of it. The piston has a mass of 8,000 g and an area of 5.00
cm2 and is free to slide up and down, keeping the pressure of the
gas constant. (a) How much work is done on the gas
as the temperature of 0.105 mol of the gas is raised from 10.0°C to
260°C? J b) What does the sign of your answer to...
Example: A heat engine contains an ideal gas confined to a cylinder by a movable piston. The gas starts at A, where T-300K B to C is an isothermal T expansion. (a) Find the number of moles (n) of gas (b) Find the temperature at B (c) Find AU, Q and W for the process A to B P(atm) WL) 15 10
8) Base your answer on the information below. A rigid cylinder is fitted with a movable piston. The cylinder contains a sample of helium gas, He(g), which has an initial volume of 125.0 milliliters and an initial pressure of 1.0 atmosphere, as shown below. The temperature of the helium gas sample is 20.0°C. Handle 0 2.0 Movable piston L3.04 Pressure gauge -1500 mL 125.0 ML -100.0 mL -75.0 mL -50.0 mL -25.0 mL ATM Rigid cylinder Helium gas is removed...
A cylinder with a movable piston contains 11.7 moles of a
monatomic ideal gas at a pressure of 1.32 × 105 Pa. The gas is
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