GC-1 An ideal gas is sealed in a cylinder and compressedby exerting a force on the piston as shown to theright. When the piston is stationary, the force onthe shaft is 400N and the length L of gas in thecylinder is 15.0cm and the gas is at 20.0°C. Neglectfriction between the cylinder and the piston.a) Draw the free body diagram for the piston andapply Fnet ma to the horizontal direction. Thinkabout the direction of the force of the outside airon the piston.At 20.0°CR=7cm:Ideal gas15.0cmair at atmospheripressurepistonb) Use your equation from part a) to get an equationfor 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.400Ne) The cylinder (and gas) are now heated to 400°C while the 400N force is maintained on the pistonshaft. Find the new distance L of the piston from the end of the cylinder.

Kindly go step by step for a better understanding. Do note that the variables used are all standard…

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.

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.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Density of Solids

The density of a substance refers to how much matter is present in a given amount of space. It is expressed as the ratio of the mass of the substance to its volume.

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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.

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