Final answer:
In chemistry, molarity is used to measure the concentration of a solute in a solution. The conversion factors provided in the question help to convert between volume and moles of sucrose. For example, a teaspoon of sugar dissolved in a cup of tea with a volume of 200 mL corresponds to a sucrose molarity of 0.05 M.
Step-by-step explanation:
In this question, we are dealing with different sucrose solutions and their molarity. Molarity is the concentration of a solute in a solution, which is expressed as moles of solute per liter of solution (mol/L or M). The given information provides conversion factors to convert between volume and moles of sucrose.
For example, to find the moles of sucrose present in a given volume of solution, we can use the conversion factor: 3.0 mol sucrose / 1 L solution.
In the given example of a teaspoon of table sugar dissolved in a cup of tea with a volume of 200 mL, we can calculate the molarity of sucrose using the given information of 0.01 mol sucrose per teaspoon of sugar. By dividing 0.01 mol by 0.2 L (200 mL), we find that the molarity of sucrose is 0.05 M.