You have an ideal gas in a closed cylinder with a movable piston. The volume of...
You have an ideal gas in a closed cylinder with a movable
piston. The volume of the gas is 3.2·L, the pressure is 200·kPa,
and the temperature is 330·K.
(a) Taking d=3 (typical of helium, for example), what is the
thermal energy of the gas? _______J
For the rest of the problem, consider what happens during a process
where the pressure is increased to 340·kPa while the temperature is
held constant at 330·K.
(b) What is the thermal energy of the gas at the end of this
process? ______J
(c) What is the volume of the gas at the end of this process?
_______L
(d) If the average pressure during this process is
275·kPa, how much energy is added (W>0) or removed (W<0) from
the gas as WORK during this process? _______J
(e) How much energy is added (Q>0) or removed (Q<0) from the
gas as HEAT during this process?
Homework Answers
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You have an ideal gas in a closed cylinder with a movable
piston. The volume of...
You have an ideal gas in a closed cylinder with a movable piston. The volume of...
You have an ideal gas in a closed cylinder with a movable piston. The volume of the gas is 4.4·L, the pressure is 100·kPa, and the temperature is 330·K. (a) Taking d=5 (typical of nitrogen, for example), what is the thermal energy of the gas? ______J For the rest of the problem, consider what happens during a process where the volume is increased to 5.8·L and the pressure is increased to 260·kPa. (b) What is the thermal energy of the...
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...
An ideal gas is enclosed in a cylinder with a movable piston on top of it....
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 0.130 mol of the gas is raised from 15.0°C to 350°C? (b) What does the sign of your answer to part (a)...
8) Base your answer on the information below. A rigid cylinder is fitted with a movable piston. The cylinder co...
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...
Helium gas at 105.0 kPa and 309.0K is located within a cylinder with a piston. Initially...
Helium gas at 105.0 kPa and 309.0K is located within a cylinder with a piston. Initially the gas occupies 0.4000 m. While a constant force, F, is applied to the end of the piston so that the pressure inside the cylinder is held constant at 105.0 kPa, 5090.0 J of heat is transferred to the helium gas. The specific enthalpy of helium gas is given by the approximate relation: (kJ/mol) = 0.02087(K) Q=5090.0J Final Conditions P2 = 105.0 kPa Initial...
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...
Helium gas at 113.0 kPa and 426.0 K is located within a cylinder with a piston....
Helium gas at 113.0 kPa and 426.0 K is located within a cylinder with a piston. Initially the gas occupies 0.3400 m. While a constant force, F, is applied to the end of the piston so that the pressure inside the cylinder is held constant at 113.0 kPa, 7060.0 J of heat is transferred to the helium gas. The specific enthalpy of helium gas is given by the approximate relation: HkJ/mol) = 0.02087(K) Q=7060.0J > F- Final Conditions P2 =...
An ideal monatomic gas is contained in a cylinder with a movable piston so that the gas can do work on the outside worl...
An ideal monatomic gas is contained in a cylinder with a movable
piston so that the gas can do work on the outside world, and heat
can be added or removed as necessary. The figure shows various
paths that the gas might take in expanding from an initial state
whose pressure, volume, and temperature are , , and respectively. The gas expands to a state with
final volume . For some answers it will be convenient to
generalize your results...
A movable piston traps 0.205 moles of an ideal gas in a vertical cylinder. As the...
A movable piston traps 0.205 moles of an ideal gas in a vertical cylinder. As the temperature of the gas is decreased from 511 ◦C to 24.0◦C, the piston slides without friction, reducing the volume of the gas so that its pressure remains constant. Find the work (J) done on the gas in the piston. Hint: Use the ideal gas law to change W = −P∆V to an expression using n and T. Be sure to include the sign of...
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
of gas...
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 0.130 mol of the gas is raised from 15.0°C to 350°C? (b) What does the sign of your answer to part (a)...
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...
Helium gas at 105.0 kPa and 309.0K is located within a cylinder with a piston. Initially the gas occupies 0.4000 m. While a constant force, F, is applied to the end of the piston so that the pressure inside the cylinder is held constant at 105.0 kPa, 5090.0 J of heat is transferred to the helium gas. The specific enthalpy of helium gas is given by the approximate relation: (kJ/mol) = 0.02087(K) Q=5090.0J Final Conditions P2 = 105.0 kPa Initial...
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...
Helium gas at 113.0 kPa and 426.0 K is located within a cylinder with a piston. Initially the gas occupies 0.3400 m. While a constant force, F, is applied to the end of the piston so that the pressure inside the cylinder is held constant at 113.0 kPa, 7060.0 J of heat is transferred to the helium gas. The specific enthalpy of helium gas is given by the approximate relation: HkJ/mol) = 0.02087(K) Q=7060.0J > F- Final Conditions P2 =...
An ideal monatomic gas is contained in a cylinder with a movable
piston so that the gas can do work on the outside world, and heat
can be added or removed as necessary. The figure shows various
paths that the gas might take in expanding from an initial state
whose pressure, volume, and temperature are , , and respectively. The gas expands to a state with
final volume . For some answers it will be convenient to
generalize your results...
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
of gas...
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