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.
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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.
 
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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 :)
 

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