One-half liter of water has a mass of
a. 0.5 g.
b. 5 g.
c. 50 g.
d. 500 g.
The Correct Answer and Explanation is :
The correct answer is d. 500 g.
Explanation:
To determine the mass of 0.5 liters (one-half liter) of water, we need to consider the relationship between the volume of water and its density.
- Density of Water: The density of water is approximately 1 gram per milliliter (g/mL) at standard temperature and pressure (STP). This means that 1 milliliter (mL) of water has a mass of 1 gram.
- Conversion of Liters to Milliliters: Since 1 liter is equal to 1,000 milliliters, half a liter is equal to 500 milliliters (mL).
- Calculating the Mass:
- Since the density of water is 1 g/mL, it follows that 1 mL of water has a mass of 1 gram.
- Therefore, 500 milliliters (which is 0.5 liters) of water will have a mass of 500 grams.
- Mass Calculation:
[
\text{Mass of 0.5 liters of water} = 500 \, \text{mL} \times 1 \, \text{g/mL} = 500 \, \text{grams}
]
Thus, 0.5 liters of water weighs 500 grams, making option d. 500 g the correct answer.
Key Points:
- The density of water at room temperature is about 1 g/mL.
- Conversion from liters to milliliters: 1 liter = 1,000 milliliters.
- 0.5 liters = 500 milliliters, and 500 milliliters of water equals 500 grams.
Understanding this relationship is fundamental in many scientific calculations, particularly in fields like chemistry, physics, and biology.