Basic ideal gas PV=nRT question ( fast )

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Homework Help Overview

The problem involves calculating the initial mass of oxygen in a tank using the ideal gas law, given specific conditions such as volume, gauge pressure, and temperature. The subject area is thermodynamics, specifically the behavior of gases under varying conditions.

Discussion Character

  • Conceptual clarification, Mathematical reasoning, Assumption checking

Approaches and Questions Raised

  • The original poster attempts to use the ideal gas law to find the number of moles of oxygen but encounters issues with the gauge pressure and temperature conversions. Participants suggest checking the conversion from gauge to absolute pressure and reviewing algebraic manipulations.

Discussion Status

Participants are actively discussing the necessary conversions for pressure and temperature to apply the ideal gas law correctly. Some guidance has been provided regarding the importance of using absolute values for pressure and temperature, and the original poster acknowledges understanding these concepts.

Contextual Notes

There is a mention of missing information regarding the reasoning behind the need to convert gauge pressure to absolute pressure, which has been questioned by the original poster.

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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