Answer :
Use Raoult's Law to calculate the vapor pressure of the dilute solution containing 1 mole of AB in 50 moles of the solvent.
To calculate the vapor pressure of the dilute solution, we can use Raoult's Law which states that the vapor pressure of a solution is proportional to the mole fraction of the solvent.
Calculate the mole fraction of the solvent:
Moles of solvent = 50 moles,
So, the mole fraction of the solvent = 50 / (50 + 1) = 50 / 51.
Calculate the vapor pressure of the solution:
Vapor pressure = 100 mmHg * (50 / 51) ≈ 98.5 mmHg.
Hence, the correct option is (c).