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Chapter 1: Problem 48

A 15.2 L sample of chloroform at \(20^{\circ} \mathrm{C}\) has a mass of 22.54 kg. What is the density of chloroform at \(20^{\circ} \mathrm{C}\), in grams per milliliter?

Short Answer

Expert verified
The density of the chloroform at \(20^{\circ} \mathrm{C}\) is approximately \(1.48 \) g/ml.

Step by step solution

01

Convert units

The mass is given in kilograms and it has to be converted into grams since the result is to be obtained in grams per milliliter. Similarly, the volume is provided in liters, and we should convert it to milliliters. To convert kilograms to grams, multiply the number of kilograms by 1000 as 1 kg contains 1000 grams. To convert liters into milliliters, again multiply by 1000 because 1L constitutes 1000ml. So, the mass becomes \(22540 \) grams and the volume becomes \(15200 \) milliliters.
02

Calculate the density

Now with weight and volume in appropriate units, use the formula for calculating density, which is \( Density = Mass / Volume \). Plug the numbers to get the density, i.e., \( Density = 22540g / 15200ml \).
03

Simplify the calculation

Divide \( 22540 \) by \( 15200 \) to find the density. Once the division is done, you will get the estimated density of the chloroform.

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