Physical Chemistry> Benzene and toluene form ideal solution o...

Benzene and toluene form ideal solution over the entire range of composition. The vapour pressure of pure benzene and toluene at 300 K are 50.71 mm Hg and 32.06 mm Hg respectively. Calculate the mole fraction of benzene in vapour phase if 80 g of benzene is mixed with 100 g of toluene.

Jayant Kumar , 10 Years ago

Grade 11

4 Answers

Gaurav

Last Activity: 9 Years ago

PoBenzene = 50.51 mm Hg
PoNaphthalene = 50.51 mm Hg
Mass of Benzene = 80 g
Mass of Toluene = 100 g
Molar mass of benzene(C6H6) = 6 × 12 + 6 × 1 = 78 g mol - 1
Molar mass of toluene(C6H5CH3) = 6 × 12 + 5 × 1 + 12 + 3 × 1 = 92 g mol – 1
Use the formula

Number of moles of benzene = 80 / 78 = 1.026 mol
Number of mole of toluene = 100 / 9 2 = 1.087 mol
Mole fraction of benzene, XBenzene = 1.0226 / (1.026 + 1.087)
= 1.026/ 2.113 = 0.486
Similarly
Mole fraction of toluene, X Toluene = 1 - XBenzene = 1 - 0.486 = 0.514
Use the formula if Henry law
P_A = p^o_A × X_A
Partial vapour pressure of benzene, PBenzene = poBenzene × XBenzene
PBenzene=0.487 × 50.71 = 24.645 mm Hg
Similarly
Partial pressure of Toluene, P toluene = 0.514 × 32.06 = 16.48 mmHg

Mole fraction of benzene = 24.645 /(24.645 + 16.48 )
= 24.645/41.123 = 0.60

CHIKALANGO

Last Activity: 6 Years ago

Partial vapour pressure of benzene, PBenzene = poBenzene × XBenzene PBenzene=0.487 × 50.71 = 24.645 mm HgSimilarlyPartial pressure of Toluene, P toluene = 0.514 × 32.06 = 16.48 mmHg_A × X_A^o = p_APoBenzene = 50.51 mm Hg PoNaphthalene = 50.51 mm HgMass of Benzene = 80 gMass of Toluene = 100 gMolar mass of benzene(C6H6) = 6 × 12 + 6 × 1 = 78 g mol - 1Molar mass of toluene(C6H5CH3) = 6 × 12 + 5 × 1 + 12 + 3 × 1 = 92 g mol – 1Use the formulaNumber of moles of benzene = 80 / 78 = 1.026 molNumber of mole of toluene = 100 / 9 2 = 1.087 molMole fraction of benzene, XBenzene = 1.0226 / (1.026 + 1.087) = 1.026/ 2.113 = 0.486SimilarlyMole fraction of toluene, X Toluene = 1 - XBenzene = 1 - 0.486 = 0.514Use the formula if Henry lawP

Krish Gupta

Last Activity: 4 Years ago

See again it’s just some play of formulas, no extraordinary thinking.

Partial vapour pressure of benzene, PBenzene = poBenzene × XBenzenePBenzene=0.487 × 50.71 = 24.645 mm HgSimilarlyPartial pressure of Toluene, P toluene = 0.514 × 32.06 = 16.48 mmHgMole fraction of benzene = 24.645 /(24.645 + 16.48 )= 24.645/41.123 = 0.60_A × X_A^o = p_ANaphthalene = 50.51 mm HgMass of Benzene = 80 gMass of Toluene = 100 gMolar mass of benzene(C6H6) = 6 × 12 + 6 × 1 = 78 g mol - 1Molar mass of toluene(C6H5CH3) = 6 × 12 + 5 × 1 + 12 + 3 × 1 = 92 g mol – 1Use the formulaNumber of moles of benzene = 80 / 78 = 1.026 molNumber of mole of toluene = 100 / 9 2 = 1.087 molMole fraction of benzene, XBenzene = 1.0226 / (1.026 + 1.087)= 1.026/ 2.113 = 0.486SimilarlyMole fraction of toluene, X Toluene = 1 - XBenzene = 1 - 0.486 = 0.514Use the formula if Henry lawP^oBenzene = 50.51 mm HgP^oP

Yash Chourasiya

Last Activity: 4 Years ago

Dear Student

P^o Benzene = 50.51 mm Hg
P^oNaphthalene = 50.51 mm Hg
Mass of Benzene = 80 g
Mass of Toluene = 100 g
Molar mass of benzene(C₆H₆) = 6 × 12 + 6 × 1 = 78 g mol^{- 1}
Molar mass of toluene(C₆H₅CH₃) = 6 × 12 + 5 × 1 + 12 + 3 × 1 = 92 g mol ^{– 1}
Use the formula Number of moles of benzene = 80 / 78 = 1.026 mol
Number of mole of toluene = 100 / 92 = 1.087 mol
Mole fraction of benzene, X_Benzene= 1.0226 / (1.026 + 1.087) = 1.026/ 2.113 = 0.486 Similarly Mole fraction of toluene, X _Toluene = 1 - X_Benzene= 1 - 0.486 = 0.514
Use the formula if Henry law
P_A= p^o_A× X_A
Partial vapour pressure of benzene, P_Benzene = p^o_Benzene × X_BenzeneP_Benzene
=0.487 × 50.71 = 24.645 mm Hg

Similarly Partial pressure of Toluene, P toluene = 0.514 × 32.06 = 16.48 mmHg
Mole fraction of benzene = 24.645 /(24.645 + 16.48 )
= 24.645/41.123 = 0.60

I hope this answer will help you.
Thanks & Regards
Yash Chourasiya