Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 1: Problem 84

Automobile batteries contain sulfuric acid, which is commonly referred to as "battery acid." Calculate the number of grams of sulfuric acid in 1.00 gal of battery acid if the solution has a density of 1.28 \(\mathrm{g} / \mathrm{mL}\) and is 38.1\(\%\) sulfuric acid by mass.

Short Answer

Expert verified
The number of grams of sulfuric acid in 1.00 gal of battery acid is approximately 1843.32 grams.

Step by step solution

01

Convert volume from gallons to milliliters

First, we need to convert the volume of battery acid given in gallons to milliliters. We will use the conversion factor: 1 gallon = 3785.41 mL. \[1.00 \, \text{gal} \times \frac{3785.41\, \text{mL}}{1 \, \text{gal}} = 3785.41\, \text{mL}\] So, the volume of battery acid in milliliters is 3785.41 mL.
02

Calculate the mass of the solution using its density

Now, let's calculate the mass of the solution using the given density. We know that density = mass/volume, so we can get the mass of the solution by multiplying the density by the volume. The given density is 1.28 g/mL, and we have just calculated the volume to be 3785.41 mL. Mass of solution = Density × Volume Mass of solution = \(1.28 \frac{\text{g}}{\text{mL}} \times 3785.41 \text{mL}\) Mass of solution = \(4841.32 \, \text{g}\)
03

Calculate the mass of sulfuric acid using the percentage by mass

Finally, we will calculate the mass of sulfuric acid using the given percentage by mass, which is 38.1%. Mass of sulfuric acid = Mass of solution × Percentage by mass Mass of sulfuric acid = \(4841.32 \, \text{g} \times \frac{38.1}{100}\) Mass of sulfuric acid = \(1843.32 \, \text{g}\) So, the number of grams of sulfuric acid in 1.00 gal of battery acid is approximately 1843.32 grams.

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

(a) How many liters of wine can be held in a wine barrel whose capacity is 31 gal? (b) The recommended adult dose of Elixophyllin', a drug used to treat asthma, is 6 \(\mathrm{mg} / \mathrm{kg}\) of body mass. Calculate the dose in milligrams for a 185 -lb person. (c) If an automobile is able to travel 400 \(\mathrm{km}\) on 47.3 \(\mathrm{L}\) of gasoline, what is the gas mileage in miles per gallon?(d) When the coffee is brewed according to directions, a pound of coffee beans yields 50 cups of coffee \((4\) cups \(=1\) qt). How many kg of coffee are required to produce 200 cups of coffee?

For each of the following processes, does the potential energy of the object(s) increase or decrease? (a) The distance between two oppositely charged particles is increased. (b) Water is pumped from ground level to the reservoir of a water tower 30 \(\mathrm{m}\) above the ground. (c) The bond in a chlorine molecule, \(\mathrm{Cl}_{2},\) is broken to form two chlorine atoms.

The U.S. quarter has a mass of 5.67 \(\mathrm{g}\) and is approximately 1.55 \(\mathrm{mm}\) thick. (a) How many quarters would have to be stacked to reach 575 \(\mathrm{ft}\) , the height of the Washington Monument? (b) How much would this stack weigh? (c) How much money would this stack contain? (d) The U.S. National Debt Clock showed the outstanding public debt to be \(\$ 16,213,166,914,811\) on October \(28,2012 .\) How many stacks like the one described would be necessary to pay off this debt?

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) \(16 \mathrm{nm}^{2},(\mathrm{g})-78^{\circ} \mathrm{C},(\mathbf{h}) 2.56 \mathrm{g} / \mathrm{cm}^{3},(\mathrm{i}) 28 \mathrm{cm}^{3} \cdot[\) Section 1.5\(]\)

A thief plans to steal a gold sphere with a radius of 28.9 \(\mathrm{cm}\) from a museum. If the gold has a density of \(19.3 \mathrm{g} / \mathrm{cm}^{3},\) what is the mass of the sphere in pounds? [The volume of a sphere is \(V=(4 / 3) \pi r^{3} . ]\) Is the thief likely to be able to walk off with the gold sphere unassisted?
See all solutions

Recommended explanations on Chemistry Textbooks

Ionic and Molecular Compounds

Read Explanation

Chemical Reactions

Read Explanation

Physical Chemistry

Read Explanation

Kinetics

Read Explanation

Making Measurements

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