What volume of a 10.00% (w/v) solution of sugar is needed to provide 2.00 g of sugar?

• A. 0.20 mL
• B. 2.00 mL
• C. 20.0 mL
• D. 200 mL

Answer: (C)

Verified step by step guidance

1. Understand that a 10.00% (w/v) sugar solution means there are 10.00 grams of sugar dissolved in 100 mL of solution.
2. Set up a proportion to find the volume (V) of solution that contains 2.00 grams of sugar using the relationship: \(\frac{10.00\ \text{g}}{100\ \text{mL}} = \frac{2.00\ \text{g}}{V}\).
3. Rearrange the equation to solve for the volume \(V\): \(V = \frac{2.00\ \text{g} \times 100\ \text{mL}}{10.00\ \text{g}}\).
4. Calculate the volume \(V\) using the values given (do not compute the final number here, just set up the expression).
5. Interpret the result as the volume of the 10.00% (w/v) sugar solution needed to provide 2.00 g of sugar.