What is the mass of 1 mL of water?
The Correct Answer and Explanation is:
The mass of 1 mL of water is 1 gram. This is because the density of water is 1 g/mL at 4°C, which is considered the temperature where water is most dense.
Explanation:
Density is defined as mass per unit volume. For water, at standard conditions (4°C), the density is exactly 1 gram per milliliter (g/mL). This means that for every milliliter of water you have, it weighs 1 gram. This is a very useful and commonly used fact in science and engineering.
To elaborate further, the relationship between density (ρ), mass (m), and volume (V) is given by the formula: ρ=mV\rho = \frac{m}{V}ρ=Vm
Where:
- ρ\rhoρ is the density of the substance,
- mmm is the mass,
- VVV is the volume.
If we rearrange this formula to solve for mass, we get: m=ρ×Vm = \rho \times Vm=ρ×V
For water, ρ=1 g/mL\rho = 1 \, \text{g/mL}ρ=1g/mL, and if you have a volume of V=1 mLV = 1 \, \text{mL}V=1mL, the mass of that volume would be: m=1 g/mL×1 mL=1 gm = 1 \, \text{g/mL} \times 1 \, \text{mL} = 1 \, \text{g}m=1g/mL×1mL=1g
Thus, the mass of 1 mL of water is exactly 1 gram.
This fact holds true for pure water at 4°C, but it may vary slightly with temperature. For example, at higher temperatures, water expands slightly and its density decreases, making the mass of 1 mL slightly less than 1 gram. However, for practical purposes, especially in everyday situations, we commonly use the value of 1 gram per milliliter.
