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Topic: Mass of Nitrogen in a basketball. Neeed help ASAP!  (Read 6966 times)

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Offline mybad4990

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Mass of Nitrogen in a basketball. Neeed help ASAP!
« on: May 04, 2009, 11:55:41 PM »
Ok i need some help here, not asking anyone to do this for me, but there are alot of formulas involved here, apparently, and I don't know where to start.

Okay, you have a basketball that is 29.5 inches in circumference, and it is injected with nitrogen at 9 psi at room temperature(25 C) what is the mass in grams of the air inside the basketball?

I gotta hand this in tomorrow, so some help ASAP would be greatly appreciated.

Offline Loyal

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Re: Mass of Nitrogen in a basketball. Neeed help ASAP!
« Reply #1 on: May 05, 2009, 02:03:10 AM »
Ok for starters.   You need an equation that links Temperature, Pressure, and the amount of gas present correct?

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Offline mybad4990

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Re: Mass of Nitrogen in a basketball. Neeed help ASAP!
« Reply #2 on: May 05, 2009, 03:00:15 AM »
Yeah. that would be the ideal gas law, right?

Offline Borek

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Re: Mass of Nitrogen in a basketball. Neeed help ASAP!
« Reply #3 on: May 05, 2009, 03:05:40 AM »
Yes. Calculate number of moles of gas first.
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Offline mybad4990

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Re: Mass of Nitrogen in a basketball. Neeed help ASAP!
« Reply #4 on: May 05, 2009, 03:25:10 AM »
Ah ok, i think im getting the gist of it. I had to find the volume first(converting my temperature to kelvin and my pressure to atm)

P=.6122 atm
V=39.983 L
T=298.15

I used this to find the number of moles, which was 9.99 X 10-2

What now, do I just convert my mols to mass?

Offline plankk

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Re: Mass of Nitrogen in a basketball. Neeed help ASAP!
« Reply #5 on: May 05, 2009, 03:41:15 AM »
What about molar mass?

Offline mybad4990

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Re: Mass of Nitrogen in a basketball. Neeed help ASAP!
« Reply #6 on: May 05, 2009, 03:47:50 AM »
Well we know that the molar mass of element is the mass of 1 g of the substance, I just multiplied the number of mols times the molar mass (14.01 g/mol)

9.99 X 10-2 times 14.01=1.399599 grams.

Correct?

Offline plankk

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Re: Mass of Nitrogen in a basketball. Neeed help ASAP!
« Reply #7 on: May 05, 2009, 03:50:18 AM »
But nitrogen occurs as two-atoms molecules.

And I also don't know how you counted such volume.

Offline mybad4990

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Re: Mass of Nitrogen in a basketball. Neeed help ASAP!
« Reply #8 on: May 05, 2009, 04:00:46 AM »
got my decimal places wrong when doing the math =/

but thanks for the help.

Offline Borek

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Re: Mass of Nitrogen in a basketball. Neeed help ASAP!
« Reply #9 on: May 05, 2009, 04:05:19 AM »
Well we know that the molar mass of element is the mass of 1 g of the substance

No, mass of 1 g is 1 g, I suppose you meant mass of 1 mole :)
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Offline sjb

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Re: Mass of Nitrogen in a basketball. Neeed help ASAP!
« Reply #10 on: May 05, 2009, 05:11:53 AM »
Ah ok, i think im getting the gist of it. I had to find the volume first(converting my temperature to kelvin and my pressure to atm)

P=.6122 atm
...

Would this not be 9 psi above ambient, else the ball will just implode?

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