Calculating Oxygen Mass and Leak in a Tank Using Ideal Gas Law

AI Thread Summary
To calculate the initial mass of oxygen in a tank, the ideal gas law (pV = nRT) is applied, considering the tank's volume, gauge pressure, and temperature. The initial gauge pressure must be converted to absolute pressure by adding atmospheric pressure. After correcting this, the initial mass of oxygen was found to be accurate. The second part of the problem involves determining the mass of oxygen that leaked out, which requires the new conditions of pressure and temperature. Proper application of the ideal gas law allows for both calculations to be completed successfully.
tweety24
Messages
12
Reaction score
0

Homework Statement



A welder fills a tank, volume 7.60 x 10^-2 m^3, with oxgyen (32.0 g/mol) at gauge pressure 3.25 x 10^5 Pa and temp. 36.0 degrees C. The tank has a small leak, and some of the oxygen leaks. When temp. is 22.4 degrees C, pressure of oxygen in tank is 1.80 x 10^5 Pa.

Find initial mass of oxygen.
Find mass of oxygen that leaked out.


Homework Equations



pV = nRT

The Attempt at a Solution



I understand that I need to find the answer to the first part in order to get the answer to the second part. I used the ideal gas law equation to solve the first part and got the answer to be 308 grams but it keeps telling me that's wrong.
 
Physics news on Phys.org
Try converting the gauge pressure to absolute pressure by adding the atmospheric pressure to the gauge pressure.
 
thanks I tried that and got the correct answer :)
 

Thread 'Errors and significant figures'

I multiplied the values first without the error limit. Got 19.38. rounded it off to 2 significant figures since the given data has 2 significant figures. So = 19. For error I used the above formula. It comes out about 1.48. Now my question is. Should I write the answer as 19±1.5 (rounding 1.48 to 2 significant figures) OR should I write it as 19±1. So in short, should the error have same number of significant figures as the mean value or should it have the same number of decimal places as...
View full post »
Thread 'A cylinder connected to a hanging mass'

Thread 'A cylinder connected to a hanging mass'

Let's declare that for the cylinder, mass = M = 10 kg Radius = R = 4 m For the wall and the floor, Friction coeff = ##\mu## = 0.5 For the hanging mass, mass = m = 11 kg First, we divide the force according to their respective plane (x and y thing, correct me if I'm wrong) and according to which, cylinder or the hanging mass, they're working on. Force on the hanging mass $$mg - T = ma$$ Force(Cylinder) on y $$N_f + f_w - Mg = 0$$ Force(Cylinder) on x $$T + f_f - N_w = Ma$$ There's also...
View full post »

Similar threads

Find the Oxygen Mass in a Welding Tank
Replies
2
Views
3K
Finding the mass of a quantity of gas given P, V, T
Replies
5
Views
2K
Clarification on PV=nRT question.
Replies
6
Views
2K
Trouble solving for end state of two control volumes in a rigid tank
Replies
12
Views
2K
Calculations using the Ideal Gas Law
Replies
2
Views
2K
What is the Mass of Oxygen in a Leaking Tank?
Replies
2
Views
15K
Ideal Gas Law and Pressure at 80°C
Replies
2
Views
3K
How to Calculate Gas Usage in Pressure Drop Situation?
Replies
4
Views
2K
Thermodynamics: Ideal Gas Law, find the temperature
Replies
5
Views
3K
Gas Laws -- An astronaut breathing presurized air
Replies
44
Views
4K

Hot Threads

Recent Insights

Back
Top