Math Problem Statement
Solution
We are tasked with calculating the density of an unknown liquid and then identifying it based on the provided data. Let's go step by step:
Step 1: Calculate the density of the unknown liquid.
The formula for density is:
Where:
- is the mass of the liquid (1.73 kg),
- is the volume of the liquid (1702 cm³, which equals 1702 mL because 1 cm³ = 1 mL).
Before calculating, let's convert the mass from kilograms to grams:
Now we calculate the density:
Step 2: Identify the liquid.
Using the calculated density (1.016 g/mL), let's compare it with the known densities provided:
- Chloroform:
- Pentane:
- Carbon tetrachloride:
- Diethylamine:
- Ethanolamine:
The calculated density of 1.016 g/mL is closest to ethanolamine (1.0 g/mL).
Step 3: Answer the questions
- Density of the liquid: 1.016 g/mL
- Is it possible to identify the liquid? Yes
- Identified liquid: Ethanolamine
Would you like further clarification or details on this?
Here are 5 related questions to explore:
- What factors could influence the accuracy of the density measurement?
- How would the density change if the liquid was at a different temperature?
- Why is density important in identifying substances?
- Can the shape of the container affect the measured volume for irregular liquids?
- What is the difference between mass and weight in scientific terms?
Tip: Always ensure temperature and pressure conditions are controlled when measuring physical properties like density, as they can affect the results.
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Math Problem Analysis
Mathematical Concepts
Density
Volume and Mass Conversion
Unit Conversion
Formulas
d = m / V (density = mass / volume)
Theorems
-
Suitable Grade Level
Grades 9-12
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