Reposting with correct information..Carbon tetrachloride (CCl4) and benzene (C6H6) form ideal solutions. Consider an equimolar solution of CCl4 and C6H6 at 25°C. The vapor above this solutionis collected and condensed. Using the following data, determine the composition in mole fraction of the condensed vapor.
Substance ∆Gf°
C6H6 (l) 124.50 kJ/mol
C6H6 (g) 129.66 kJ/mol
CCl4 (l) -65.21 kJ/mol
CCl4 (g) -60.59 kJ/mol
Delta G = -RTLNK
For c6h6 (l) to c6h6 (g) equilibrium, delta G = 129.66-124.50 = 5.16 kJ/Mol
Plug this value into the equation above and solve for the value of K, which is simply the ratio of product to reactant.
Repeat this calculation for ccl4.
To determine the composition in mole fraction of the condensed vapor, we need to calculate the mole fraction of both CCl4 and C6H6 in the vapor phase separately.
The mole fraction of a component is given by the ratio of the number of moles of that component to the total number of moles present in the system.
First, we need to find the number of moles of CCl4 and C6H6 in the vapor phase. To do this, we can use the Gibbs free energy change (∆G) values provided:
∆Gf° refers to the standard Gibbs free energy of formation.
∆Gf° (CCl4(g)) = -60.59 kJ/mol
∆Gf° (C6H6(g)) = 129.66 kJ/mol
Since the equimolar solution of CCl4 and C6H6 is ideal, we can assume that the partial pressure of each component in the vapor phase is directly proportional to its mole fraction in the liquid phase. This allows us to determine the mole fraction of each component in the vapor phase by comparing the magnitudes of their ∆Gf° values.
Calculating the mole fraction of CCl4 (xCCl4):
xCCl4 = exp(-∆Gf° (CCl4(g)) / RT)
Here, R is the ideal gas constant and T is the temperature in Kelvin.
Similarly, calculating the mole fraction of C6H6 (xC6H6):
xC6H6 = exp(-∆Gf° (C6H6(g)) / RT)
Once these mole fractions are calculated, the sum of xCCl4 and xC6H6 will give the composition in mole fraction of the vapor phase.
Please note that the specific values of R (ideal gas constant) and T (temperature) need to be provided in order to perform the calculations. Once you have these values, substitute them into the equations above to find the mole fractions of CCl4 and C6H6 in the vapor phase.