Mercury is 13.6 times more dense than water. If a container can hold 20g of water, how much more massive would an equal volume of mercury be?
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To determine how much more massive an equal volume of mercury would be compared to water, we need to consider the density ratio given. Here's how to calculate it:
1. First, we need to calculate the mass of the water that the container can hold. We are given that the container can hold 20g of water, so the mass of the water is 20g.
2. Since Mercury is 13.6 times more dense than water, we can use this density ratio to determine the mass of an equal volume of mercury.
Density ratio = Density of Mercury / Density of Water = 13.6
The density of water is approximately 1g/cm³. Let's assume the density of mercury is 13.6g/cm³ (rounded for simplicity).
3. Now, we can set up a proportion to find the mass of mercury:
Water Mass / Water Density = Mercury Mass / Mercury Density
Substitute the known quantities:
20g / 1g/cm³ = Mercury Mass / 13.6g/cm³
4. Rearrange the equation to solve for the mass of mercury:
Mercury Mass = (20g / 1g/cm³) * 13.6g/cm³
Mercury Mass = 272g
Therefore, an equal volume of mercury would be approximately 272g, which is 272 - 20 = 252g more massive than water.