o be ideal if it obeys Raoult\'s Law, in which the partial pressure of each idea
ID: 1025151 • Letter: O
Question
o be ideal if it obeys Raoult's Law, in which the partial pressure of each ideal solution, PaaPo. If a volatile component of the solution is the product of the mole fraction the pure component. Thus, for component a of an solute is added to a volatile over the solution. The total vapor pressure over the solution is given by PT = A solution is prepared by mixing 15.0 g of chloroform (CHCls) and 37.5 g of dichloro- methane (CH2Cl2). At 25°C, the vapor pressure of CHCl, is 205 mm Hg and that of is 415 mm Hg. Wh (x) and the vapor pressure (P) of solvent, both components contribute to the pressure of the vapor XaP,' + :Pb CH,C2 at i s the vapor pressure of the solution at the same temperature?Explanation / Answer
Mass of chloroform= 15 gm, moles of chloroform= mass/molar mass , molar mass of CHCl3= 12+1+3*35.5=119.5, moles of chloroform = 15/119.5=0.1255
Mass of dichloromethane= 37.5 gm, molar mass of dichlromethane (CH2Cl2)= 12+2+2*35.5= 85 g/mole
moles of dichlromethane = 37.5/85=0.44
total moles = moles of chloroform+ moles of dichloroform = 0.1255+0.44=0.5655 moles
mole fraction = moles/ total moles
let x1= mole fraction of CHCl3, x2= mole fraction of CH2Cl2
hence x1=0.1255/0.5655= 0.22 and x2=0.44/0.5655=0.78
given P1sat=205 mm Hg and P2sat= 415 mm Hg
vapor pressure of solution = x1P1sat+x2*P2sat= 0.22*205+0.78*415 =368.8 mm Hg
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