The mole fraction of water in a 10% glucose solution can be calculated as follows:
Mole fraction of water = (moles of water) / (total moles of solution)
Assuming we have 100 grams of solution, we can calculate the moles of water and glucose as follows:
Moles of water = (100 - 10) / 18 = 5 moles
Moles of glucose = 10 / 180 = 0.0556 moles
Therefore, the mole fraction of water is:
Mole fraction of water = 5 moles / (5 + 0.0556) moles = 0.988
Now, we can use Raoult's law to calculate the vapour pressure of the solution:
Vapour pressure of solution = Mole fraction of water × Vapour pressure of pure water
Vapour pressure of solution = 0.988 × 30 mm = 29.64 mm
Therefore, the vapour pressure of a 10% glucose solution is 29.64 mm.