Final answer:
The molarity of sucrose in a cup of tea is calculated by dividing the moles of sucrose by the volume of the solution in liters. For 0.01 moles of sucrose in a 200 mL cup of tea, the molarity is 0.05 M.
Step-by-step explanation:
The question concerns the calculation of the molarity of a sucrose solution. To find the molarity of sucrose in a cup of tea (which is 200 mL or 0.2 L), we use the formula M = moles of solute / liters of solution. Given that 1 teaspoon of table sugar (sucrose) is about 0.01 moles, and the volume of the tea is 0.2 liters, we can perform the calculation.
Molarity (M) = moles of sucrose / volume of solution in liters = 0.01 moles / 0.2 L = 0.05 M
The molarity of sucrose after dissolving one teaspoon of sugar in a cup of tea is 0.05 M.