Gelatin has a density of 1.27 g/cm3. If you have a blob of gelatin dessert that fills a 2.0-liter bottle, what is its mass?
Question
Gelatin has a density of 1.27 g/cm³. If you have a blob of gelatin dessert that fills a 2.0-liter bottle, what is its mass?
Solution
Sure, here are the steps to solve this problem:
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First, we need to convert the volume from liters to cubic centimeters (cm^3) because the density is given in g/cm^3. We know that 1 liter is equal to 1000 cm^3. So, 2.0 liters would be 2.0 * 1000 = 2000 cm^3.
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Next, we use the formula for density which is Density = Mass/Volume. We can rearrange this formula to find the mass: Mass = Density * Volume.
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Now we can substitute the values into the formula: Mass = 1.27 g/cm^3 * 2000 cm^3 = 2540 g.
So, the mass of the gelatin dessert that fills a 2.0-liter bottle is 2540 grams.
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