BuyFind

Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071
BuyFind

Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

Solutions

Chapter 1.6, Problem 56E
To determine

To find: The amount of water boiled to increase the concentration to 200 g/L.

Expert Solution

Answer to Problem 56E

The amount of water is 3.6 L.

Explanation of Solution

Given:

A pot contains 6 L of brine with concentration 120 g/L and the concentration is increased to 200 g/L.

Calculation:

Let the amount water be x.

Tabulate the given information into the language of algebra.

In words In Algebra
Amount of water x
Amount of substance dissolved with brine 6(120)
Amount of substance dissolved with brine x×200

Model the equation for the above information.

(Amountofsubstancedissolvedinbrine)=(Amountofsubstancedissolvedinwater)6(120)=x×200

Simplify the above equation for x,

720=200xx=720200x=3.6

Thus, the amount of water is 3.6 L.

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