At 20 °C, the density of water is approximately 0.998 g/cm^3. How many grams of water are contained in a 0.127 L sample at 20 °C?

• A. 1.27 g
• B. 127.0 g
• C. 12.7 g
• D. 126.7 g

Answer: (D)

Verified step by step guidance

1. Identify the given information: the density of water at 20 °C is 0.998 g/cm\^3, and the volume of the water sample is 0.127 L.
2. Convert the volume from liters to cubic centimeters (cm\^3) because the density is given in g/cm\^3. Use the conversion factor: 1 L = 1000 cm\^3. So, calculate the volume in cm\^3 by multiplying 0.127 L by 1000.
3. Use the formula relating mass, density, and volume: \(m = \rho \times V\), where \(m\) is mass in grams, \(\rho\) is density in g/cm\^3, and \(V\) is volume in cm\^3.
4. Substitute the known values into the formula: multiply the density (0.998 g/cm\^3) by the volume in cm\^3 obtained from the previous step.
5. Calculate the product to find the mass of the water in grams, which will give you the amount of water contained in the 0.127 L sample.