What was the mass of the water you pipetted? the valume? Explain why the density of water is 0.998 and not 1 g/ml.
Real Tutor Solution
Quick Answer
The density of water is 0.998 g/mL at room temperature (around 20°C) because water's density varies with temperature.
Step-by-step Solution
1. Mass and volume relationship:
If you pipetted a specific volume of water, the mass can be calculated using the density. For instance, for 10 mL of water:
Mass = Volume × Density
Mass = 10 mL × 0.998 g/mL = 9.98 g
2. Density explanation:
Temperature dependency: The density of water is 1 g/mL at 4°C, its maximum density point.
Room temperature: At around 20°C, the density of water is slightly lower, approximately 0.998 g/mL, due to thermal expansion.
Supplemental Knowledge:
The density of a substance is defined as its mass per unit volume. For water, the commonly accepted density at standard conditions (4°C and 1 atm pressure) is approximately 1 g/mL. However, the density of water can vary slightly depending on temperature and pressure.
1. Mass and Volume Relationship:
If you pipetted a known volume of water, you can calculate its mass using the density formula:
\[\text { Density} = \frac { \text { Mass} } { \text { Volume} } \]
Rearranging this formula to find mass:
\[\text { Mass} = \text { Density} \times \text { Volume} \]
2. Why Density is 0.998 g/mL Instead of 1 g/mL:
Water at room temperatures (approximately 20°C to 25°C) weighs in at roughly 0.998 g/mL rather than exactly 1 g/mL due to thermal expansion; at temperatures exceeding or under 4°C water molecules are less tightly packed together resulting in decreased density.
Practical Insights:
As water's density is fundamental for many scientific and industrial uses, understanding it accurately is of vital importance in both laboratory settings as well as more general settings requiring precise concentration measurements for experiments or preparation of solutions and experiments that entail precise concentration requirements.
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