# Pressure inside the cylinder

1. Oct 14, 2010

### dragon162

1. The problem statement, all variables and given/known data
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?

2. Relevant equations
pV=nRT

3. The attempt at a solution
Ill be honest im completely lost in this problem and really need some help.

2. Oct 14, 2010

### The legend

is the system in equilibrium?...if so what can you say about the pressure?

3. Oct 14, 2010

### dragon162

hmm if the system is in equilibrium cant we say that the pressure wont change or is constant ?

4. Oct 14, 2010

### The legend

umm... see if something ain't moving(is in static equilibrium) then what should be the case?
from both sides ?

think buddy, think.

5. Oct 14, 2010

### dragon162

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

edit: then wouldnt the pressure on the outside be acting in and the pressure on the inside acting out?

Last edited: Oct 15, 2010
6. Oct 14, 2010

### The legend

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

7. Oct 15, 2010

### dragon162

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?

8. Sep 30, 2012

### Pottsy1994

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.