Question

A $32.65-g$ sample of a solid is placed in a flask. Toluene, in which the solid is insoluble, is added to the flask so that the total volume of solid and liquid together is $50.00 \mathrm{~mL}$. The solid and toluene together weigh $58.58 \mathrm{~g}$. The density of toluene at the temperature of the experiment is $0.864 \mathrm{~g} / \mathrm{mL}$. What is the density of the solid?

Name: Problem 82, Chapter 1: Chemistry: The Central Science in SI Units, Global Edition
Uploaded: 2019-04-27T20:48:29-08:00
Duration: 2 min 49 s
Channel: Keenan Mintz
Description: A 32.65-g sample of a solid is placed in a flask. Toluene, in which the solid is insoluble, is added to the flask so that the total volume of solid and liquid together is 50.00 mL. The solid and toluene together weigh 58.58 g. The density of toluene at the temperature of the experiment is 0.864 g / mL. What is the density of the solid?

   A $32.65-g$ sample of a solid is placed in a flask. Toluene, in which the solid is insoluble, is added to the flask so that the total volume of solid and liquid together is $50.00 \mathrm{~mL}$. The solid and toluene together weigh $58.58 \mathrm{~g}$. The density of toluene at the temperature of the experiment is $0.864 \mathrm{~g} / \mathrm{mL}$. What is the density of the solid?

Chemistry: The Central Science in SI Units, Global Edition

Theodore L. Brown,… 14th Edition

Chapter 1, Problem 82

Instant Answer

Solved by Expert Keenan Mintz

04/27/2019

Step 1

First, we need to find the mass of toluene. We can do this by subtracting the mass of the solid from the total mass (solid and toluene together): Mass of toluene = Total mass - Mass of solid Mass of toluene = 58.58 g - 32.65 g = 25.93 g Show more…

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A $32.65-g$ sample of a solid is placed in a flask. Toluene, in which the solid is insoluble, is added to the flask so that the total volume of solid and liquid together is $50.00 \mathrm{~mL}$. The solid and toluene together weigh $58.58 \mathrm{~g}$. The density of toluene at the temperature of the experiment is $0.864 \mathrm{~g} / \mathrm{mL}$. What is the density of the solid?

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Key Concepts

Density

Density is defined as the mass of a substance divided by its volume. It is a fundamental property used to identify substances and relate the mass to the space they occupy. Understanding density helps in determining whether an object will sink or float in a given fluid and is critical in many scientific and engineering applications.

Liquid Displacement Method

The liquid displacement method involves submerging an object in a fluid to determine its volume indirectly. When a solid that is insoluble in the liquid is added, the total volume change offers a way to calculate the volume of the object by subtracting the known volume of the liquid from the total volume. This method is particularly useful for irregularly shaped objects where direct volume measurement is challenging.

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