a) Draw the free body diagram for the piston and apply Fnet ma to the horizontal direction. Think about the direction of the force of the outside air on the piston. b) Use your equation from part a) to get an equation for the pressure in the gas (remember that P=F/A). c) Use your equation from b) to calculate the pressure in the gas in the cylinder in N/m². d) Find the number of moles of gas in the cylinder. 15.0cm piston 400N e) The cylinder (and gas) are now heated to 400°C while the 400N force is maintained on the piston shaft. Find the new distance L of the piston from the end of the cylinder.

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Chapter2: The Kinetic Theory Of Gases
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Problem 15CQ: One cylinder contains helium gas and another contains krypton gas at the same temperature. Mark each...
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GC-1 An ideal gas is sealed in a cylinder and compressed
by exerting a force on the piston as shown to the
right. When the piston is stationary, the force on
the shaft is 400N and the length L of gas in the
cylinder is 15.0cm and the gas is at 20.0°C. Neglect
friction between the cylinder and the piston.
a) Draw the free body diagram for the piston and
apply Fnet ma to the horizontal direction. Think
about the direction of the force of the outside air
on the piston.
At 20.0°C
R=7cm:
Ideal gas
15.0cm
air at atmospheri
pressure
piston
b) Use your equation from part a) to get an equation
for the pressure in the gas (remember that P=F/A).
c) Use your equation from b) to calculate the pressure in the gas in the cylinder in N/m².
d) Find the number of moles of gas in the cylinder.
400N
e) The cylinder (and gas) are now heated to 400°C while the 400N force is maintained on the piston
shaft. Find the new distance L of the piston from the end of the cylinder.
Transcribed Image Text:GC-1 An ideal gas is sealed in a cylinder and compressed by exerting a force on the piston as shown to the right. When the piston is stationary, the force on the shaft is 400N and the length L of gas in the cylinder is 15.0cm and the gas is at 20.0°C. Neglect friction between the cylinder and the piston. a) Draw the free body diagram for the piston and apply Fnet ma to the horizontal direction. Think about the direction of the force of the outside air on the piston. At 20.0°C R=7cm: Ideal gas 15.0cm air at atmospheri pressure piston b) Use your equation from part a) to get an equation for the pressure in the gas (remember that P=F/A). c) Use your equation from b) to calculate the pressure in the gas in the cylinder in N/m². d) Find the number of moles of gas in the cylinder. 400N e) The cylinder (and gas) are now heated to 400°C while the 400N force is maintained on the piston shaft. Find the new distance L of the piston from the end of the cylinder.
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