Help please What mass, in grams, of oxygen gas (O2) is contained in a 8.5 liter tank at 32.0 degrees Celsius and 3.23 atmosphere?
@dan815 @aaronq @Luigi0210
Use pV= mRT/Mr, where in is in Pascals, V in m^3, R is 8.31, T is temperature in Kelvin , m is required mass and Mr is molecular mass. Think you can solve it now?
yea i got that part but i need to know the steps
Make sure you're using the proper gas constant. I would use 0.0821 instead since you're already given liters and atm. Just convert temperature to absolute temp (which is kelvin)
this is what i got so far (3.23 atm)(8.5l)=(n)(0.082atm*L/mole*K)(274.15k)
and im stuck @thadyoung @Hoslos
You need to rearrange like you would in algebra, and solve for \(n\) which is moles then you can use that to calculate grams. Since you know that oxygen has a molar mass of 16, which is given in grams per mole
Rearrange: \(\sf PV = nRT \Rightarrow \color{red}{\frac{PV}{RT}}= n\)
okay so (3.23)(8.5L)/(0.082atm*L/mole*K)(274.15)?
@thadyoung
Close, but where did you come up with 274.15 for your temperature?
i converted the celcius into kelvin
so 32.0C is 274.15 K
32 degree's celcius is \(not\) 274.15 K Do you know the conversion?
no
its 305.15 @thadyoung
so its 3.23 atm x 8.5L / (0.08206 Latm/molK x305K)
am i correct?
Yes.
now whats next?
this is where i get stuck
Well, you have moles. Remember from algebra, if you have this: \(\sf \large \frac{a}{b} \times \frac{b}{z} = \frac{a}{z} \) because the two b's cancel out? \(\sf \large \frac{a}{\cancel{b}} \times \frac{\cancel{b}}{z} = \frac{a}{z} \)
yes
It is the same thing with units. You have moles of Oxygen (O\(_2\)) And when you see your periodic table, you know that the units are in molar mass. Which menas you have n moles of O\(_2\) \(\times\) \(\sf \frac{15.99~g}{mol}\)
That's the mass for oxygen.
Now, does that make sense?
ohh k yea kind of
Notice that you have units mole that can cancel out?
This is still simple algebra.
yes
so the two moles cancel out?
Yes.
so how would the formula look now
exactly how i wrote it up there. try it.
okay so one mole of ox weighs 32g so i multiply that by what 15.99g?
@thadyoung
im so confused? :(
whats ar ethe number of moles?
Put it in your calculator! I'm not doing your work for you. I already showed you how to do it.
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