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Now, convert the density of water to \( \mathrm{g} / \mathrm{cm}^{3} \). Express your answer in grams per cubic centimeter using three significant figures. View Available Hint(s)

Ask by Tran Chen. in the United States
Jan 25,2025

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Answer

The density of water is \(1.00\ \mathrm{g/cm^{3}}\).

Solution

The density of water is: \[ 1.00\ \mathrm{g/cm^{3}} \] This value is expressed to three significant figures.

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The density of water is typically measured at around \( 4°C \) and is approximately \( 1,000 \, \mathrm{kg/m}^{3} \). To convert this to grams per cubic centimeter, you can use the fact that \( 1 \, \mathrm{kg/m}^{3} = 0.001 \, \mathrm{g/cm}^{3} \). Therefore, \( 1,000 \, \mathrm{kg/m}^{3} \) converts to \( 1.00 \, \mathrm{g/cm}^{3} \). Voila! There you have it: the density of water is \( 1.00 \, \mathrm{g/cm}^{3} \), expressed with three significant figures. Isn't it fascinating how something as ubiquitous as water has such a specific density? It’s vital for so many calculations in science, engineering, and everyday life – from designing boats that float to mixing the perfect cocktail! So next time you pour a glass, remember, you're not just hydrating; you're also immersed in physics!

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