### Question 23**Using the calibration curve below (equation of the line: y=0.0039x + 0.9981) to determine the percentage of sugar in a sugar water solution with a density of 1.034 g/mL.**### Graph ExplanationThe graph shown is titled "Density versus Percent Sugar." It depicts the relationship between the density of a sugar water solution (y-axis) and the percentage of sugar in the solution (x-axis).- **x-axis (independent variable):** Percentage of sugar (% m/m) ranging from 0% to 15%.- **y-axis (dependent variable):** Density (g/mL) ranging from 0.99 g/mL to 1.07 g/mL.Four data points are plotted on the graph, and a linear trendline is fitted to these points. The equation of the trendline is provided as:\[ y = 0.0039x + 0.9981 \]The R² value of 0.9998 indicates a very high correlation between density and percentage of sugar, implying that the linear model is an excellent fit for the data.### CalculationTo determine the percentage of sugar in a solution with a given density (1.034 g/mL), use the equation of the line provided:\[ y = 0.0039x + 0.9981 \]Given that y (density) = 1.034 g/mL, solve for x (percentage of sugar):\[ 1.034 = 0.0039x + 0.9981 \]Subtract 0.9981 from both sides:\[ 1.034 - 0.9981 = 0.0039x \]\[ 0.0359 = 0.0039x \]Solve for x by dividing both sides by 0.0039:\[ x = \frac{0.0359}{0.0039} \]\[ x = 9.2 \% m/m \]Therefore, a sugar water solution with a density of 1.034 g/mL contains approximately 9.2% sugar by mass.**Answer Choices:**- 4.2%- 1.0%- 8.5%- 9.9%- 9.2%Based on the calculation, the correct answer is **9.2%**

The graph for Density (in g/mL) versus % sugar is given below :

QUESTION 23 Using the calibration curve below (equation of the line: y=0.0039x + 0.9981) to determine the percentage of sugar in a sugar water solution with a density of 1.034 g/mL. Density versus Percent Sugar 1.07 1.06 y = 0.0039x + 0.9981 R= 0.9998 1.05 1.04 1.03 1.02 1.01 0.99 10 12 14 16 Percent Sugar (% m/m ) O 4.2 % O 1.0% O 8.5% 9.9% O 9.2% Density (g/mL)

QUESTION 23 Using the calibration curve below (equation of the line: y=0.0039x + 0.9981) to determine the percentage of sugar in a sugar water solution with a density of 1.034 g/mL. Density versus Percent Sugar 1.07 1.06 y = 0.0039x + 0.9981 R= 0.9998 1.05 1.04 1.03 1.02 1.01 0.99 10 12 14 16 Percent Sugar (% m/m ) O 4.2 % O 1.0% O 8.5% 9.9% O 9.2% Density (g/mL)

Chemistry

10th Edition

ISBN:9781305957404

Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Chapter1: Chemical Foundations

Section: Chapter Questions

Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...

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