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At 40 C the vapor pressure of n-pentane (n-C5H12) is 873 mmand the vapor pressur

ID: 683809 • Letter: A

Question

At 40 C the vapor pressure of n-pentane (n-C5H12) is 873 mmand the vapor pressure of n-heptane (n-C7H16) is 92 mm. UseRaoult's Law to calculate the vapor pressure at 40 C of a 3:1 molarmixture of n-pentane and n-heptane. Do the same for a mixture of 50g of each component. At 40 C the vapor pressure of n-pentane (n-C5H12) is 873 mmand the vapor pressure of n-heptane (n-C7H16) is 92 mm. UseRaoult's Law to calculate the vapor pressure at 40 C of a 3:1 molarmixture of n-pentane and n-heptane. Do the same for a mixture of 50g of each component.

Explanation / Answer

                      n-pentane and n-heptane form the ideal mixture .            The molarratio of the two liquids is 3 : 1         mole fractionof n-pentane is = XA= 3 /4                                                                = 0.75         mole fractionof n-heptane is = XB = 1/4                                                                = 0.25            PA = PoA *XA                   = 873 mm Hg * 0.75                   = 654.75 mm Hg           PB = PoB*XB                  = 92 mm Hg * 0.25                  = 23 mmHg             The pressure of the mixture P =PA + PB                                                               = 677.75 mm Hg          If 50 gof each of the components is mixed then calculate the number ofmoles of each component and then calculate mole fractions.Substitute in the above equations.                                   = 873 mm Hg * 0.75                   = 654.75 mm Hg           PB = PoB*XB                  = 92 mm Hg * 0.25                  = 23 mmHg             The pressure of the mixture P =PA + PB                                                               = 677.75 mm Hg          If 50 gof each of the components is mixed then calculate the number ofmoles of each component and then calculate mole fractions.Substitute in the above equations.