What is the volume in the liters occupied by 4 moles of SO_2 at 6 atmospheres and 270°C?

1 Answer
Dec 29, 2016

The volume is 30 L.

Explanation:

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

The Ideal Gas Law is:

color(blue)(bar(ul(|color(white)(a/a)PV = nRTcolor(white)(a/a)|)))" "

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

n = "4 mol"
R = "0.082 06 L·atm·K"^"-1""mol"^"-1"
T = "(270 + 273.15) K" = "543.15 K"
P = "6 atm"

V = (nRT)/P = (4 color(red)(cancel(color(black)("mol"))) × "0.082 06 L"· color(red)(cancel(color(black)("atm·K"^"-1""mol"^"-1"))) × 543.15 color(red)(cancel(color(black)("K"))))/(6 color(red)(cancel(color(black)("atm")))) = "30 L"
(1 significant figure)