Hey there! Sign in to join this conversationNew here? Join for free
    • Thread Starter
    Offline

    0
    ReputationRep:
    "One mole of any gas at STP and pressure occupies 22.43x10^-3m^-3. We will use this statement to estimate the average distance between atoms in a gas. Imagine that each atom of the gas is at rest in the middle of a identical box.

    a) What is the volume of one box?
    b) What is the length of one side?
    c) What is the average distance between the atoms at STP?"

    Any help would be appreciated!
    Offline

    11
    ReputationRep:
    (Original post by Lexidan)
    "One mole of any gas at STP and pressure occupies 22.43x10^-3m^-3. We will use this statement to estimate the average distance between atoms in a gas. Imagine that each atom of the gas is at rest in the middle of an identical box.

    a) What is the volume of one box?
    b) What is the length of one side?
    c) What is the average distance between the atoms at STP?"

    Any help would be appreciated!
    Since there are  6.02 \times 10^{23} atoms in  22.43 \times 10^{-3} m3, the atoms are distributed evenly throughout the volume, so one atom occupies a cubic box of volume

    a)  V = \frac{22.43 \times 10^{-3}}{6.02 \times 10^{23}}

    b)  L = V^{1/3}

    c)  L

    A simple of way thinking is that imagine we put N number of atoms in a cubic box of 1 m by 1 m by 1 m and assume the distance between one atom and the next is d,

    then the number along an edge of box = 1/d
     (\frac{1}{d})^3 = N
    Offline

    20
    ReputationRep:
    A mole of anything is just Avagadro's number of that thing
    you could have a mole of sweets (well theoretically)

    Avagadro's number (also written as NA) is 6.022×1023... it's a large number... but it's still just a number.

    dividing the volume of a mole of gas by Avagadro's number will give you the average volume per atom of gas (which is the first part of the question) as you'd expect it'll be quite a small number.
 
 
 
  • See more of what you like on The Student Room

    You can personalise what you see on TSR. Tell us a little about yourself to get started.

  • Poll
    Has a teacher ever helped you cheat?
  • See more of what you like on The Student Room

    You can personalise what you see on TSR. Tell us a little about yourself to get started.

  • The Student Room, Get Revising and Marked by Teachers are trading names of The Student Room Group Ltd.

    Register Number: 04666380 (England and Wales), VAT No. 806 8067 22 Registered Office: International House, Queens Road, Brighton, BN1 3XE

    Write a reply...
    Reply
    Hide
    Reputation gems: You get these gems as you gain rep from other members for making good contributions and giving helpful advice.