Q10: what is the correct answer choice **Educational Content: Calculating the Number of Glucose Molecules in a Solution****Problem Statement:**You have a freshly prepared 0.1 M solution of glucose in water. Each liter of this solution contains how many glucose molecules?**Options:**- \(6.02 \times 10^{22}\)- \(3.01 \times 10^{23}\)- \(6.02 \times 10^{24}\)- \(12.04 \times 10^{23}\)**Explanation:**To solve this problem, one must understand the concept of molarity and Avogadro's number. Molarity (M) is defined as the number of moles of solute per liter of solution. Here, a 0.1 M solution of glucose means there are 0.1 moles of glucose in every liter of solution. Avogadro's number, \(6.02 \times 10^{23}\), is the number of molecules in one mole of any substance. Thus, the number of glucose molecules in 0.1 moles can be calculated by multiplying:\[ 0.1 \, \text{mol} \times 6.02 \times 10^{23} \, \text{molecules/mol} = 6.02 \times 10^{22} \, \text{molecules}\]Therefore, the correct answer is \(6.02 \times 10^{22}\).

Given :- Molar concentration of glucose solution = 0.1 M To calculate : Number of glucose molecules in each liter of solution 0.1 M glucose solution means 0.1 moles of glucose present in 1 liter of solution. As 1 mol glucose contains 6.02 × 1023 molecules So, 0.1 mol glucose = (6.02 × 1023 molecules/1 mol glucose) × 0.1 mol glucose = 6.02 × 1022 molecules So, the correct option is 6.02 × 1022