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

Answer:

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)