Xenon fluoride can be prepared by heating a mixture of Xe and F2 gases to a high temperature in a pressure-proof container. Assume that xenon gas was added to a 0.25 liter container until its pressure reached 0.12 atm at 0.0°C. Fluorine gas was then added until the total pressure reached 0.72 atm at 0.0°C. After the reaction was complete, the xenon was consumed completely, and the pressure of the F2 remaining in the container was 0.36 atm at 0.0°C. What is the empirical formula of the xenon fluoride?

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Answer:

XeF₄

Explanation:

Dalton law's of partial pressure states that the total pressure equal to the sum of the partial pressure of the individual gases that make up the mixture.

Pt = Pxe + Pf₂

0.72 = 0.12 + Pf₂

0.72 - 0.12 =  Pf₂

0.60 atm = Pf₂

after the the reaction was complete, the pressure of F₂ remaining = 0.36 atm

pressure of the consumed F₂ = 0.60 - 0.36 = 0.24 atm

Pxe / total pressure = number of mole / total number of mole of gas present

0.24 / 0.72 = nf / nt

0.12 / 0.72 = nxe / nt

comparing the two

(1/ 3) / ( 1/6) = (nf/ nt) / ( nxe/ nt)

nf / nxe = 2 / 1

the emperical formula = XeF₄

The empirical formula of the xenon fluoride is :

 -XeF₄

"Dalton law's of partial pressure"

It states that the Total pressure break even with to the whole of the fractional weight of the person gasses that make up the blend.

  • Pt = Pxe + Pf₂
  • 0.72 = 0.12 + Pf₂
  • 0.72 - 0.12 =  Pf₂
  • 0.60 atm = Pf₂

Pressure of F₂ remaining = 0.36 atm

Pressure of the consumed F₂ = 0.60 - 0.36 = 0.24 atm

Pxe / total pressure = number of mole / total number of mole of gas present

0.24 / 0.72 = nf / nt

0.12 / 0.72 = nxe / nt

comparing the two:

(1/ 3) / ( 1/6) = (nf/ nt) / ( nxe/ nt)

nf / nxe = 2 / 1

The emperical formula = XeF₄

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