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Ch.1 - Introduction: Matter, Energy, and Measurement
Chapter 1, Problem 37b

(b) An experiment requires 45.0 g of ethylene glycol, a liquid whose density is 1.114 g/mL. Rather than weigh the sample on a balance, a chemist chooses to dispense the liquid using a graduated cylinder. What volume of the liquid should he use?

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Identify the given information: mass of ethylene glycol is 45.0 g and its density is 1.114 g/mL.
Recall the formula for density: \( \text{Density} = \frac{\text{Mass}}{\text{Volume}} \).
Rearrange the formula to solve for volume: \( \text{Volume} = \frac{\text{Mass}}{\text{Density}} \).
Substitute the given values into the rearranged formula: \( \text{Volume} = \frac{45.0 \text{ g}}{1.114 \text{ g/mL}} \).
Calculate the volume to determine how much ethylene glycol to dispense using the graduated cylinder.

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Key Concepts

Here are the essential concepts you must grasp in order to answer the question correctly.

Density

Density is defined as the mass of a substance per unit volume, typically expressed in grams per milliliter (g/mL) for liquids. It is a crucial property that helps in converting between mass and volume. In this case, the density of ethylene glycol is given as 1.114 g/mL, which means that each milliliter of this liquid weighs 1.114 grams.
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Volume Calculation

Volume can be calculated using the formula: Volume = Mass / Density. This relationship allows chemists to determine how much space a given mass of a substance will occupy based on its density. For the experiment, knowing the mass of ethylene glycol (45.0 g) and its density (1.114 g/mL) enables the calculation of the required volume.
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Graduated Cylinder Usage

A graduated cylinder is a common laboratory instrument used to measure the volume of liquids accurately. It is marked with measurement lines, allowing for precise readings. In this scenario, the chemist will use the calculated volume of ethylene glycol to dispense the correct amount from the graduated cylinder, ensuring the experiment's accuracy.
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