Questions: What is the volume, in milliliters, of 30.0 g of liquid if its density is 2.00 g / mL?

What is the volume, in milliliters, of 30.0 g of liquid if its density is 2.00 g / mL?
Transcript text: 3. What is the volume, in milliliters, of 30.0 g of liquid if its density is $2.00 \mathrm{~g} / \mathrm{mL}$ SHOW ANSWER
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Solution

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Solution Steps

Step 1: Understand the Relationship Between Mass, Volume, and Density

The relationship between mass, volume, and density is given by the formula: \[ \text{Density} = \frac{\text{Mass}}{\text{Volume}} \] We can rearrange this formula to solve for volume: \[ \text{Volume} = \frac{\text{Mass}}{\text{Density}} \]

Step 2: Substitute the Given Values

We are given the mass of the liquid as \(30.0 \, \text{g}\) and the density as \(2.00 \, \text{g/mL}\). Substitute these values into the formula: \[ \text{Volume} = \frac{30.0 \, \text{g}}{2.00 \, \text{g/mL}} \]

Step 3: Calculate the Volume

Perform the division to find the volume: \[ \text{Volume} = 15.0 \, \text{mL} \]

Final Answer

The volume of the liquid is \(\boxed{15.0 \, \text{mL}}\).

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