(b) Pentane, C,H,2, and hexane, C,H14, combine to form an ideal solution. At 25°
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Question
(b) Pentane, C,H,2, and hexane, C,H14, combine to form an ideal solution. At 25°C the vapor pressures of pentane and hexane are 511 and 150 torr, respectively. A solution is prepared by mixing 25.00 ml of pentane (density = 0.63 g/mL) with 45.00 mL of hexane (density = 0.66 g/mL) (Atomic mass of H = 1.00 g/mol; C = 12.00 g/mol). (0) (4 points) What is the vapor pressure of this solution? preuetol 51 +150 661 torr (i) (2 points) What is the mole fraction of pentane in the vapor that is in equilibrium with this solution? erel 551 641 0834Explanation / Answer
no of mol of pentane = 25*0.63/72 = 0.219 mol
no of mol of hexane = 45*0.66/86 = 0.345 mol
ntotal = 0.219+0.345 = 0.564 mol
molefraction of pentane(Xp) = 0.219/0.564 = 0.4
molefraction of hexane(Xh) = 0.345/0.564 = 0.6
partail pressure of pentane = Xp*P0 = 0.4*511 = 204.4 torr
partail pressure of hexane = Xh*P0
= 0.6*150 = 90 torr
pTOTAL = 204.4+90 = 294.4 torr
b)
molefraction of pentane(Xp) = 0.219/0.564 = 0.4
molefraction of hexane(Xh) = 0.345/0.564 = 0.6
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