If an irregularly shaped apple possesses a density of 0.96 g/cm 3 , what is its mass in milligrams? (The volume of the given cylinders are in mL).

Hey, everyone. So in this practice question, it says, if an irregularly shaped apple possesses a density of 0.96 grams per centimeters cubed, what is its mass in milligrams? Here we're also told that the volume of the given cylinders are in milliliters. Well, if we take a look here at our 2 cylinders, initially before I add the apple, I have a volume of 5 ml's. And remember, in terms of sig figs, we'd have to add an additional decimal point, so it's 5.0 ml. After I've added the apple, it goes all the way up to 10, which is 10.0 ml. That means that the volume of the apple is 10 ml, 10.0 ml, minus 5.0 ml, so at the end I'd have 5.0 mls. When we subtract, we go with the least number of decimal points, which is 1 in both cases. So now we have the 5 ml's which is our given amount. We're going to treat the density as a conversion factor since it has 2 units together. So we're gonna say we have 5.0 ml's. Remember, 1 ml is equal to 1 centimeters cubed. Ml's cancel out. Then we're going to say our density is 0.96 grams per 1 centimeters cubed. And then finally, we need our answer in milligrams. Grams go on the bottom, milligrams go on top. Remember, milli is a metric prefix, so one goes with it. 1 milli is 10 to the negative 3. When we punch that into our calculators, we get 48 100 milligrams. Here our final answer has 2 sig figs because we have 0.96 which has 2 sig figs, and 5.0 ml's also has 2 sig figs. So again our final answer is 48 100 milligrams.

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1. Intro to General Chemistry

Density of Non-Geometric Objects

General Chemistry

1. Intro to General Chemistry

Density of Non-Geometric Objects

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Multiple Choice

If an irregularly shaped apple possesses a density of 0.96 g/cm³, what is its mass in milligrams? (The volume of the given cylinders are in mL).

4000 mg

5000 mg

0.0048 mg

4800 mg

5300 mg

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Verified step by step guidance

First, observe the two graduated cylinders in the image. The left cylinder shows a volume of 7 mL, and the right cylinder shows a volume of 10 mL with the apple submerged.

Calculate the volume of the apple by finding the difference between the two volumes. Subtract the initial volume (7 mL) from the final volume (10 mL) to get the volume of the apple: \( V_{apple} = 10 \text{ mL} - 7 \text{ mL} \).

Convert the volume of the apple from milliliters to cubic centimeters. Since 1 mL is equivalent to 1 cm³, the volume of the apple is \( V_{apple} = 3 \text{ cm}^3 \).

Use the formula for density \( \text{Density} = \frac{\text{Mass}}{\text{Volume}} \) to find the mass of the apple. Rearrange the formula to solve for mass: \( \text{Mass} = \text{Density} \times \text{Volume} \). Substitute the given density (0.96 g/cm³) and the calculated volume (3 cm³) into the formula.

Convert the mass from grams to milligrams. Since 1 gram is equal to 1000 milligrams, multiply the mass in grams by 1000 to get the mass in milligrams.