Basic ideal gas PV=nRT question ( fast )

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SUMMARY

The discussion revolves around the application of the ideal gas law (PV=nRT) to calculate the initial mass of oxygen in a tank with a volume of 7.70×10−2 m3. The welder initially used gauge pressure (3.30×105 Pa) without converting it to absolute pressure, which led to incorrect calculations. The correct approach involves adding atmospheric pressure to the gauge pressure and using absolute temperature (in Kelvin) to find the number of moles (n) before calculating the mass using the molar mass of oxygen (32.0 g/mol).

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  • Understanding of the ideal gas law (PV=nRT)
  • Knowledge of gauge pressure versus absolute pressure
  • Ability to convert temperature from Celsius to Kelvin
  • Basic algebra skills for manipulating equations
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  • Study the ideal gas law in detail, including its derivations and applications
  • Explore the concept of molar mass and its significance in gas calculations
  • Review common mistakes in algebraic manipulation of gas law equations
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Students studying chemistry or physics, particularly those focusing on gas laws, as well as professionals in fields requiring gas calculations, such as welding and engineering.

Luongo
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A welder using a tank of volume 7.70×10^−2m^3 fills it with oxygen (with a molar mass of 32.0 ) at a gauge pressure of 3.30×10^5 Pa and temperature of 35.0 C. The tank has a small leak, and in time some of the oxygen leaks out. On a day when the temperature is 23.9 C, the gauge pressure of the oxygen in the tank is 1.80×10^5 Pa .

Find the initial mass of the oxygen.

i don't understand this crap. i used PV = nRT isolated n = (8.315)(35+273)/ (7.7e-2)(3.3e5)
then multiplied it to the molar mass and got the mass. which isn't right. Help? on what I am doing wrong? this is the only equation we were given.
 
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- you are given gauge pressures, but P in your ideal gas law equation is in absolute pressure - you need to convert gauge pressure to absolute pressure (that is, you need to add atmospheric pressure)

- check your algebra when calculating n - looks upside down to me...

- otherwise there's nothing wrong with the way you are going about it (use the ideal gas law to find the amount of oxygen in the tank [n] and use the molar mass to find the corresponding mass)
 
jamesrc said:
- you are given gauge pressures, but P in your ideal gas law equation is in absolute pressure - you need to convert gauge pressure to absolute pressure (that is, you need to add atmospheric pressure)

- check your algebra when calculating n - looks upside down to me...

- otherwise there's nothing wrong with the way you are going about it (use the ideal gas law to find the amount of oxygen in the tank [n] and use the molar mass to find the corresponding mass)
sorry typo, yes you're right i have to add 1atm of pressure but why? we were never told the reasoning
 
Well, it's more or less the same reason you had to add 273 to your temperature - the ideal gas law is defined in terms of absolute pressure and temperature.

Did you ever go over the difference between gauge pressure and absolute pressure in class?
 
jamesrc said:
Well, it's more or less the same reason you had to add 273 to your temperature - the ideal gas law is defined in terms of absolute pressure and temperature.

Did you ever go over the difference between gauge pressure and absolute pressure in class?


nope but i get it now, thanks.
 

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