What is the volume, in liters, occupied by 260 moles of N_2N2 gas?

1 Answer
Jul 17, 2016

The volume at STP is 5900 L.

Explanation:

You don’t give the temperature or pressure, so I shall assume the gas is at STP.

We can use the Ideal Gas Law to calculate the volume at STP.

The Ideal Gas Law is:

color(blue)(|bar(ul(PV = nRT)|),

where

  • P is the pressure
  • V is the volume
  • n is the number of moles
  • R is the gas constant
  • T is the temperature

We can rearrange the Ideal Gas Law to get

V = (nRT)/P

STP is 1 bar and 0 °C.

n = "260 mol"
R = "0.083 14 bar·L·K"^"-1""mol"^"-1"
T = "273.15 K"
P = "1 bar"

V = (nRT)/P = (260 color(red)(cancel(color(black)("mol"))) × "0.083 14" color(red)(cancel(color(black)("bar")))·"L"· color(red)(cancel(color(black)("K"^"-1""mol"^"-1"))) × 273.15 color(red)(cancel(color(black)("K"))))/(1 color(red)(cancel(color(black)("bar")))) = "5900 L"