Assuming ideal behavior, what is the vapor pressure of a solution of 16.0 mol of carbon tetrachloride and 4.00 mol of dioxane (c4h8o2)at 23.0 oc? vapor pressure at 23.0 oc carbon tetrachloride 100. mm hg dioxane 38.0 mm hg

Respuesta :

Mole fraction of both the gases:

Mole fraction of [tex] CCl_{4} [/tex]= [tex] \frac{Moles of CCl_{4}}{total moles} [/tex]

Mole fraction of [tex] CCl_{4} [/tex]= [tex] \frac{16}{16+4}=\frac{16}{20} = 0.8 [/tex]

Mole fraction of [tex] CCl_{4} [/tex]= [tex] \frac{Moles of CCl_{4}}{total moles} [/tex]

Mole fraction of dioxane = [tex] \frac{moles of dioxane}{total moles} [/tex]

Mole fraction of dioxane = [tex] \frac{4}{16+4}=\frac{4}{20} = 0.2 [/tex]

Total pressure of the solution is given by:

mol fraction of [tex] CCl_{4} [/tex] [tex] \times  [/tex] partial pressure of [tex] CCl_{4} [/tex] + mol fraction of dioxane [tex] \times  [/tex]   partial pressure of dioxane

Equating the values in the above equation:

Total pressure of the solution is:

= 0.8[tex] \times [/tex] 100 mmHg + 0.2 [tex] \times [/tex] 38 mmHg

= 87.6 mmHg