If you have 200 grams of water, how many cups does this correspond to? (Assume 1 cup = 240 mL and the density of water is 1.00 g/mL.)

• A. 2.00 cups
• B. 1.20 cups
• C. 0.83 cups
• D. 0.42 cups

Answer: (C)

Verified step by step guidance

1. Identify the given information: mass of water = 200 grams, density of water = 1.00 g/mL, and 1 cup = 240 mL.
2. Use the density formula to find the volume of water in milliliters: \(\text{Volume} = \frac{\text{Mass}}{\text{Density}}\).
3. Calculate the volume in mL by dividing the mass (200 g) by the density (1.00 g/mL).
4. Convert the volume from milliliters to cups using the conversion factor: \$1 \text{ cup} = 240 \text{ mL}\(, so \)\text{Volume in cups} = \frac{\text{Volume in mL}}{240}$.
5. Express the final answer as the number of cups corresponding to 200 grams of water.