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Calculate the volume of a 1 mole of an ideal gas at STP

Calculate the volume of a 1 mole of an ideal gas at STP

Grade:11

1 Answers

Mukesh Sharma
askIITians Faculty 43 Points
10 years ago
here
STP means the gases have pressure 1atm and Temp of 273 Kelvin

Now we're going to use the equation PV= nRT, where P=pressure, V=volume, n= moles, R= constant, T= Temp

First we need to find moles : n= m/MM The Molar Mass of N2= 28.02 moles/gram . The molar mass of O2= 32 moles/gram

Divide the respective masses by the Molar Masses

For N2: n = 73.8/28.02

n=2.63 moles N2

For O2: n= 52.9/32

n= 1.65 moles O2

Use the equation PV= nRT now, in terms of V

V= (nRT)/P

R= constant= 0.0821 (rounded), @STP Temp= 273k and P=1 atm

V of N2 will be:

[ (2.63)(.0821)(273) ] / 1

Volume of N2 = 58.7 Liters

For O2:
[ (1.65)(.0821)(273) ] / 1

Volume of O2 =37.0 Liters

Thanks and regards
askIITians faculty
mukesh sharma

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