Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 1: Problem 82

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?

Short Answer

Expert verified
The density of the solid is approximately \(1.63 \mathrm{~g/mL}\).

Step by step solution

01

Identify the given information

We are given the following information: - Mass of the solid = \(32.65 \mathrm{~g}\) - Total volume of solid and liquid = \(50.00 \mathrm{~mL}\) - Mass of solid and toluene = \(58.58 \mathrm{~g}\) - Density of toluene = \(0.864 \mathrm{~g/mL}\)
02

Find the mass of toluene

We can find the mass of toluene by subtracting the mass of the solid from the total mass (solid and toluene). Mass of toluene = Mass of solid and toluene - Mass of solid \(Mass_{toluene} = 58.58 \mathrm{~g} - 32.65 \mathrm{~g} = 25.93 \mathrm{~g}\)
03

Find the volume of toluene

To find the volume of toluene, we can use the density of toluene and the mass of toluene. Density = Mass/Volume Therefore, Volume = Mass/Density \(Volume_{toluene} = \frac{25.93 \mathrm{~g}}{0.864 \mathrm{~g/mL}} = 30.00 \mathrm{~mL}\)
04

Find the volume of the solid

Since we now know the volume of toluene, we can find the volume of the solid by subtracting the volume of toluene from the total volume (solid and liquid). Volume of solid = Total volume - Volume of toluene \(Volume_{solid} = 50.00 \mathrm{~mL} - 30.00 \mathrm{~mL} = 20.00 \mathrm{~mL}\)
05

Calculate the density of the solid

Finally, we can calculate the density of the solid using its mass and volume. Density of solid = Mass of solid / Volume of solid \(Density_{solid} = \frac{32.65 \mathrm{~g}}{20.00 \mathrm{~mL}} = 1.63 \mathrm{~g/mL}\) The density of the solid is approximately \(1.63 \mathrm{~g/mL}\).

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Identify each of the following as measurements of length, area, volume, mass, density, time, or temperature: (a) \(25 \mathrm{ps}\), (b) \(374.2 \mathrm{mg}\) (c) \(77 \mathrm{~K}\) (d) \(100,000 \mathrm{~km}^{2}\) (e) \(1.06 \mu \mathrm{m}\) (f) \(16 \mathrm{nm}^{2},(\mathrm{~g})-78^{\circ} \mathrm{C}\) (h) \(2.56 \mathrm{~g} / \mathrm{cm}^{3}\) (i) \(28 \mathrm{~cm}^{3}\). [Section \(\left.1.5\right]\)

Judge the following statements as true or false. If you believe a statement to be false, provide a corrected version. (a) Air and water are both elements. (b) All mixtures contain at least one element and one compound. (c) Compounds can be decomposed into two or more other substances; elements cannot. (d) Elements can exist in any of the three states of matter. (e) When yellow stains in a kitchen sink are treated with bleach water, the disappearance of the stains is due to a physical change. (f) A hypothesis is more weakly supported by experimental evidence than a theory. (g) The number 0.0033 has more significant figures than 0.033 . (h) Conversion factors used in converting units always have a numerical value of one. (i) Compounds always contain at least two different elements.

Is the use of significant figures in each of the following statements appropriate? (a) The 2005 circulation of National Geographic was \(7,812,564 .\) (b) On July 1, 2005, the population of Cook County, Illinois, was $5,303,683 .(\mathbf{c})\( In the United States, \)0.621 \%$ of the population has the surname Brown. (d) You calculate your grade point average to be \(3.87562 .\)

(a) What is the mass of a silver cube whose edges measure 2.00 \(\mathrm{cm}\) each at \(25^{\circ} \mathrm{C} ?\) The density of silver is $10.49 \mathrm{~g} / \mathrm{cm}^{3}\( at \)25^{\circ} \mathrm{C}$. (b) The density of aluminum is \(2.70 \mathrm{~g} / \mathrm{cm}^{3}\) at \(25^{\circ} \mathrm{C}\). What is the weight of the aluminum foil with an area of \(0.5 \mathrm{~m}^{2}\) and a thickness of \(0.5 \mathrm{~mm} ?\) (c) The density of hexane is \(0.655 \mathrm{~g} / \mathrm{mL}\) at $25^{\circ} \mathrm{C} .\( Calculate the mass of \)1.5 \mathrm{~L}$ of hexane at this temperature.

Convert the following expressions into exponential notation: (a) 3 terameters \((\mathrm{tm})\) (b) 2.5 femtoseconds (fs) (c) 57 micrometers \((\mu m)\) (d) 8.3 megagrams (mg).
See all solutions

Recommended explanations on Chemistry Textbooks

Chemistry Branches

Read Explanation

Chemical Reactions

Read Explanation

Organic Chemistry

Read Explanation

Ionic and Molecular Compounds

Read Explanation

Physical Chemistry

Read Explanation

The Earths Atmosphere

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.

Sign-up for free