Multiple choice

If $X_m, X_p$ and $X_v$ are mole fraction, pressure fraction and volume fraction respectively for a gaseous component in mixture. Select the correct relationship between them.

  1. $X_m=X_p=X_v$
  2. $X_p=\frac {1}{X_v}$
  3. $X_m=\dfrac {1}{X_P}=\dfrac {1}{X_V}$
  4. $X_V=\dfrac {1}{X_p}=\dfrac {1}{X_m}$
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A Correct answer
Explanation

For an ideal gas mixture, the mole fraction of a component is equal to its volume fraction and its pressure fraction (Dalton's Law of Partial Pressures). Therefore, Xm = Xp = Xv.

AI explanation

According to Dalton's law and Amagat's law, the partial pressure of a gas is directly proportional to its moles and its partial volume is also directly proportional to its moles at constant temperature and pressure. Therefore, the mole fraction, pressure fraction, and volume fraction of any component in a gaseous mixture are identical. This gives the relationship Xm equals Xp equals Xv.

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