What is the pressure inside the cylinder?

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Homework Help Overview

The problem involves a vertical cylinder with a piston, where the gas pressure inside the cylinder is to be determined under varying conditions of temperature and piston height. The cylinder has a diameter of 22 cm, and the piston weighs 25 kg, with an initial gas temperature of 316°C and external pressure of 1.00 atm.

Discussion Character

  • Exploratory, Assumption checking, Conceptual clarification

Approaches and Questions Raised

  • Participants discuss the equilibrium of the system and its implications for pressure. Questions arise about the relationship between internal and external pressures and the effects of the piston's weight. Some participants express confusion about the problem setup and seek clarification on the concepts involved.

Discussion Status

The discussion is ongoing, with participants exploring the implications of static equilibrium on pressure. Some guidance has been provided regarding the relationship between pressures and the need to consider the piston's weight, but no consensus or complete solutions have been reached.

Contextual Notes

Participants note the importance of considering the forces acting on the piston, including the weight of the piston and the pressures from both inside and outside the cylinder. There is also mention of the need to calculate the number of moles of gas using the ideal gas law, but specific calculations have not been fully articulated.

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Homework Statement


A 22 cm diameter vertical cylinder is sealed at the top by a frictionless 25 kg piston. The piston is 75 cm above the bottom when the gas temperature is 316 C. The air above the piston is at 1.00 atm pressure.

1)What is the gas pressure inside the cylinder?
2)What will the pressure be if the temperature is lowered to 12 C?
3)What will the height of the piston be if the temperature is lowered to 12 C?

Homework Equations


pV=nRT


The Attempt at a Solution


Ill be honest I am completely lost in this problem and really need some help.
 
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is the system in equilibrium?...if so what can you say about the pressure?
 
The legend said:
is the system in equilibrium?...if so what can you say about the pressure?

hmm if the system is in equilibrium can't we say that the pressure won't change or is constant :o?
 
umm... see if something ain't moving(is in static equilibrium) then what should be the case?
from both sides ?

think buddy, think.
 
The legend said:
umm... see if something ain't moving(is in static equilibrium) then what should be the case?
from both sides ?

well if its in static equilibrium we can say the gas the pressure is not changing because there is balance? Sorry if I am not getting what you are trying to say, very lost with this problem.

edit: then wouldn't the pressure on the outside be acting in and the pressure on the inside acting out?
 
Last edited:
yes something like that... pressure from both sides is equal..thats it... now you have pressure , volume and temperature ... go on calculate no of moles...then substitute n in case of next 2 questions along with temperature and get your answer
 
The legend said:
yes something like that... pressure from both sides is equal..thats it... now you have pressure , volume and temperature ... go on calculate no of moles...then substitute n in case of next 2 questions along with temperature and get your answer

so pressure=1 atm, temperature=316c+273=589k, and volume would be the volume of the cylinder right? v=pi *r^2*h=pi*(121)(75)=9075pi. Then i plug this in pV=nRT solve for n. Now that i have n i use that number to solve for temperature in the other problem and then volume in the last to find the height?
 
The legend is an incorrect smartass for anyone who reads this thread.

Need to also factor in the weight of the piston, ie, equate force due to pressure inside the cylinder with force due to pressure outside the cylinder + weight force of the piston.
 
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