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Chapter 1: Problem 72

Automobile batteries contain sulfuric acid, which is commonly referred to as "battery acid." Calculate the number of grams of sulfuric acid in \(0.500 \mathrm{~L}\) 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
There are \(243.84 \: \mathrm{g}\) of sulfuric acid in the given volume of battery acid.

Step by step solution

01

Calculate the mass of the battery acid solution

To find the mass of the battery acid solution, we will use the formula: mass = density × volume. We are given the density of the solution (1.28 g/mL) and the volume (0.500 L). First, we need to convert the volume from liters to milliliters: 0.500 L × 1000 mL/L = 500 mL. Now we can calculate the mass of the battery acid solution: mass = (1.28 g/mL) × (500 mL) = 640 g
02

Calculate the mass of sulfuric acid in the solution

We are given that the solution is 38.1% sulfuric acid by mass. To find the mass of sulfuric acid in the solution, we will simply multiply the percentage of sulfuric acid by the total mass of the solution: mass of sulfuric acid = (38.1 / 100) × 640 g = 243.84 g Thus, there are \(243.84 \: \mathrm{g}\) of sulfuric acid in the given volume of battery acid.

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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 \(\mathbb{9}\), a drug used to treat asthma, is \(6 \mathrm{mg} / \mathrm{kg}\) of body mass. Calculate the dose in milligrams for a 150 -lb person. (c) If an automobile is able to travel \(254 \mathrm{mi}\) on \(11.2\) gal of gasoline, what is the gas mileage in \(\mathrm{km} / \mathrm{L} ?\) (d) A pound of coffee beans yields 50 cups of coffee \((4\) cups \(=1\) qt). How many milliliters of coffee can be obtained from \(1 \mathrm{~g}\) of coffee beans?

In the United States, water used for irrigation is measured in acre-feet. An acre-foot of water covers an acre to a depth of exactly \(1 \mathrm{ft}\). An acre is \(4840 \mathrm{yd}^{2}\). An acrefoot is enough water to supply two typical households for \(1.00\) yr. (a) If desalinated water costs \(\$ 1950\) per acrefoot, how much does desalinated water cost per liter? (b) How much would it cost one household per day if it were the only source of water?

The density of air at ordinary atmospheric pressure and \(25^{\circ} \mathrm{C}\) is \(1.19 \mathrm{~g} / \mathrm{L}\). What is the mass, in kilograms, of the air in a room that measures \(12.5 \times 15.5 \times 80 \mathrm{ft}\) ?

Indicate which of the following are exact numbers: (a) the mass of a \(32-\mathrm{oz}\) can of coffee, \((\mathrm{b})\) the number of students in your chemistry class, (c) the temperature of the surface of the sun, (d) the mass of a postage stamp, (e) the number of milliliters in a cubic meter of water, (f) the average height of students in your school.

(a) You are given a bottle that contains \(4.59 \mathrm{~cm}^{3}\) of a metallic solid. The total mass of the bottle and solid is \(35.66 \mathrm{~g}\). The empty bottle weighs \(14.23 \mathrm{~g}\). What is the density of the solid? (b) Mercury is traded by the "flask," a unit that has a mass of \(34.5 \mathrm{~kg}\). What is the volume of a flask of mercury if the density of mercury is \(13.5 \mathrm{~g} / \mathrm{mL} ?\) (c) 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? [The volume of a sphere is \(\left.V=(4 / 3) \pi r^{3} .\right]\) Is he likely to be able to walk off with it unassisted?
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