Thermodynamics- Gauge pressure, moles, molecules

AI Thread Summary
To calculate the number of moles of oxygen gas in a 4.0 m^3 container at a gauge pressure of 8x10^5 Pa and 25 degrees Celsius, the ideal gas law is applied. The formula used is moles = (pressure x volume) / (R x temperature), resulting in 1292 moles. To find the number of molecules, Avogadro's number is multiplied by the moles, yielding approximately 7.78E26 molecules. The discussion also clarifies that gauge pressure is essential for determining the number of moles, as it directly influences the calculations. The problem was resolved successfully using the ideal gas law approach.
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Homework Statement


A 4.0 m^3 container of oxygen gas has a gauge pressure of 8x10^5 Pa at 25 degrees c.
a) how many moles of oxy are present in the containe?r ANS: 1292 moles
b)how many oxy molecules are present? ANS: 7.78E26 oxy
(yes, i have the answers but i don't know how to get to them correcly.)

known:
oxy formula weight= 32

Homework Equations


moles=mass/formula weight
ALso, can you explain to me what gauge pressure has to do with moles.

The Attempt at a Solution


i tried to find how many moles by using the denisty of oxygen, but that doesn't work. please help. i am very confused

Nevermind. i got it(:
 
Last edited:
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moles = pressure x volume / R x temperatureR= 8.3144598moles= 8x10^5 Pa x 4 m^3 / 8.3144598 x 298.15 K= 1292 moles molecules= moles x 6.022E23 = 7.78E26 oxy molecules
 
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