Section: Math 0 Likes
The mass of a solution of isopropanol and water is 100 grams (May 2023 U.S.)
0.79x + 1.0y = 100
The mass of a solution of isopropanol and water is 100 grams. The given equation represents this situation, where x is the volume of isopropanol, in cubic centimeters, and y is the volume of water, in cubic centimeters.
If the volume of isopropanol is 70 cubic centimeters, what is the approximate volume of water, in cubic centimeters?
A) 45
B) 55
C) 70
D) 79
Solution
Correct answer: A) 45.
To solve this problem, we need to use the given equation and the information about the volume of isopropanol to find the volume of water.
Given equation:
0.79x + 1.0y = 100
Given information:
The volume of isopropanol, x, is 70 cubic centimeters.
Step 1: Substitute the value of x into the equation.
0.79(70) + 1.0y = 100
55.3 + 1.0y = 100
Step 2: Solve for y.
1.0y = 100 - 55.3
y = 44.7 cubic centimeters
Therefore, the approximate volume of water is 45 cubic centimeters.
Exam Edition: May 2023 U.S.
Exam Year: 2023
Related topics: Linear Equations, Substitution, Unit Conversion