Chapter 2: Q.2.122 (page 57)

A mouthwash is $21.6 %$ ethanol by mass. If each bottle contains $0.358 pt$ of mouthwash with a density of $0.876 g / ml$ , how many kilograms of ethanol are in $180$ bottles of the mouthwash?

Short Answer

Expert verified

$5.47 kg$ of ethanol are in $180$ bottles of the mouthwash

Step by step solution

Given information

The quantity of matter in a sample is represented by mass. The units of mass are grams, $mg$ and kilograms $kg$ . Mass is also the quality of stuff that causes it to resist acceleration.

explanation

given,

percent of ethanol by mass = $26 %$ and density = localid="1653059279610" $0.876 g / ml$

quantity of mouthwash in each bottle = localid="1653606426579" $0.358 pt = 0.358 \times 437 = 165.5 ml$

Amount of ethanol in $180$ bottles of the mouthwash,

using $Mass = Density \times Volume$

localid="1653059515966" $Mass = 0.876 \times 165.5 = 144.97 g = 0.14497 kg$

now, localid="1653059527202" $180 \times 0.14497 = 26.09 kg$

by mass percent = $21.6 %$

localid="1653059600789" $\Rightarrow 26.09 kg \times \frac{21.6}{100} = 5.47 kg$

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A mouthwash is $21.6 %$ ethanol by mass. If each bottle contains $0.358 pt$ of mouthwash with a density of $0.876 g / ml$ , how many kilograms of ethanol are in $180$ bottles of the mouthwash?

Short Answer

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A mouthwash is 21.6% ethanol by mass. If each bottle contains 0.358pt of mouthwash with a density of 0.876g/ml, how many kilograms of ethanol are in 180 bottles of the mouthwash?

Short Answer

Step by step solution

Given information

explanation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Chemistry Textbooks

Physical Chemistry

Chemistry Branches

The Earths Atmosphere

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Inorganic Chemistry

Organic Chemistry

Study anywhere. Anytime. Across all devices.

A mouthwash is $21.6 %$ ethanol by mass. If each bottle contains $0.358 pt$ of mouthwash with a density of $0.876 g / ml$ , how many kilograms of ethanol are in $180$ bottles of the mouthwash?