Math Problem Statement

Determine the mass (by difference) of a measured volume of water and calculate density using the given data table.

Solution

To determine the density of water using the information in the table, we’ll follow these steps:

  1. Calculate the Mass of the Water (Mass B - A): Mass of Water=Mass BMass A=95g45g=50g\text{Mass of Water} = \text{Mass B} - \text{Mass A} = 95 \, \text{g} - 45 \, \text{g} = 50 \, \text{g}

  2. Calculate the Density of Water: Density=Mass of WaterVolume=50g50mL=1.0g/mL\text{Density} = \frac{\text{Mass of Water}}{\text{Volume}} = \frac{50 \, \text{g}}{50 \, \text{mL}} = 1.0 \, \text{g/mL}

Final Answer

The density of water is 1.0 g/mL.

Would you like a deeper explanation of any step or have additional questions?


Here are 5 related questions to further explore the topic:

  1. How would you calculate the density if a different volume of water was used?
  2. Why is it important to measure both the mass of the graduated cylinder and the graduated cylinder with liquid?
  3. How could you confirm the accuracy of your density calculation?
  4. What factors could affect the accuracy of the density measurement?
  5. How does temperature influence the density of water?

Tip: Always ensure the measurements are precise to reduce error when calculating density.

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Math Problem Analysis

Mathematical Concepts

Density Calculation
Measurement and Units
Subtraction for Mass Difference

Formulas

Mass of Liquid = Mass B - Mass A
Density = Mass of Liquid / Volume

Theorems

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Suitable Grade Level

Grades 9-10