Ch.1 - Chemical Tools: Experimentation & Measurement

Problem 76

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Chapter 1, Problem 76

The density of chloroform, a widely used organic solvent, is 1.4832 g/mL at 20 °C. How many milliliters would you use if you wanted 112.5 g of chloroform?

Verified step by step guidance

Step 1: Understand the problem. We are given the density of chloroform and the mass we want. We need to find the volume of chloroform that corresponds to the given mass.

Step 2: Recall the formula for density, which is mass divided by volume (d = m/v). We can rearrange this formula to solve for volume (v = m/d).

Step 3: Substitute the given values into the formula. The mass (m) is 112.5 g and the density (d) is 1.4832 g/mL.

Step 4: Perform the division operation to calculate the volume. Remember to keep the units consistent, in this case, the mass is in grams and the density is in grams per milliliter, so the volume will be in milliliters.

Step 5: The result of the division is the volume of chloroform in milliliters that corresponds to the given mass of 112.5 g.

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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 determine how much space a given mass of a substance will occupy. In this case, the density of chloroform is 1.4832 g/mL, indicating that each milliliter of chloroform weighs 1.4832 grams.

Mass-Volume Relationship

The mass-volume relationship is a fundamental concept in chemistry that relates the mass of a substance to its volume through its density. This relationship can be expressed with the formula: mass = density × volume. By rearranging this formula, one can calculate the volume needed for a specific mass of a substance, which is essential for solving the given problem regarding chloroform.

Unit Conversion

Unit conversion is the process of converting a quantity expressed in one set of units to another set of units. In this context, it is important to ensure that the units of mass (grams) and volume (milliliters) are compatible when using the density to find the required volume of chloroform. Understanding how to convert between different units is essential for accurate calculations in chemistry.

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