Ava B.

asked • 02/06/24

Liter Word Problem

How many liters would 3,238.6 moles of N20 occupy at 40 C?

William W.

You mean N2, correct?
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02/06/24

J.R. S.

tutor
Doesn’t really matter what the gas is, but what does matter is the pressure. This isn't provided, so we can't really answer this question. N2O is nitrous oxide.
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02/06/24

Ava B.

Yes sorry I meant to say N2O as in nitrous oxide! The pressure wasn’t given, so could we assume it’s at STP?
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02/07/24

J.R. S.

tutor
No, it can't be at STP because 40ºC isn't standard temperature. We will assume it to be 1 atm. Then tell the person who gave you the problem that you need to know the pressure.
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02/07/24

1 Expert Answer

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J.R. S. answered • 02/07/24

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We are just going to use the ideal gas law and convert 3,238.6 moles of N2O @ 40ºC into liters. We will assume a pressure of 1 atm.

PV = nRT

P = pressure in atm = 1 atm

V = volume in L = ?

n = moles = 3,238.6 mols

R = gas constant = 0.0821 Latm/Kmol

T = temperature in Kelvin = 40C + 273 = 313K

Solving for V, we have...

V = nRT / P = (3238.6 mol)(0.0821 Latm/Kmol)(313K) / 1 atm

V = 83223 L (not corrected for sig.figs.) or 83,000 L (to 2 sig.figs.)



How many liters would 3,238.6 moles of N20 occupy at 40 C?

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