December 26, 2024, 07:00:05 AM
Forum Rules: Read This Before Posting


Topic: need assistance finding density of air when given temp, pressure and mole fracti  (Read 4246 times)

0 Members and 1 Guest are viewing this topic.

Offline zerality

  • Regular Member
  • ***
  • Posts: 23
  • Mole Snacks: +0/-0
  • Gender: Male
Hi

I need assistance with this problem:
what is the density of air at 25 degrees centigrade and 745 torr if the composition by mole fraction is 78% nitrogen, 21 % oxygen and 1% argon.

I know that density = ( molar mass x pressure (atm))/ (RT)

Do i find the partial pressures of each gas and use that to find the density of each gas and then sum the densities?

Offline enahs

  • 16-92-15-68 32-7-53-92-16
  • Retired Staff
  • Sr. Member
  • *
  • Posts: 2179
  • Mole Snacks: +206/-44
  • Gender: Male

I know that density = ( molar mass x pressure (atm))/ (RT)

Do i find the partial pressures of each gas and use that to find the density of each gas and then sum the densities?

The easiest and most direct route would be to calculate the average molar mass of air with the numbers provided, and then use that in your equation of density for a gas.

Just make sure to remember which elements are diatomic and to keep track of your units and use the appropriate Idea Gas Constant so your units cancel properly, and you know what unit you are left with.

Offline zerality

  • Regular Member
  • ***
  • Posts: 23
  • Mole Snacks: +0/-0
  • Gender: Male
For the average molar mass of air, do I just sum the masses of 02, N2 and Ar; or do I multiply the individual masses by the percentage of each gas and then sum the total?

Offline Borek

  • Mr. pH
  • Administrator
  • Deity Member
  • *
  • Posts: 27887
  • Mole Snacks: +1816/-412
  • Gender: Male
  • I am known to be occasionally wrong.
    • Chembuddy
Multiply by percentages, you need weighted average.
ChemBuddy chemical calculators - stoichiometry, pH, concentration, buffer preparation, titrations.info

Sponsored Links