The Archimedes Principle and Volume Change in Water

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SUMMARY

The discussion centers on the application of the Archimedes Principle in calculating volume changes when objects are submerged in liquids. Specifically, it addresses the volume of 124.5 g of ethanol, the total volume in a graduated cylinder after adding 141.5 g of zinc, and the calculation of the depth of the zinc piece. Additionally, it clarifies the conversion of 7.06e-8 nanometers to meters, emphasizing the importance of density in volume calculations.

PREREQUISITES
  • Understanding of Archimedes Principle
  • Knowledge of density calculations (Density = Mass / Volume)
  • Familiarity with unit conversions (e.g., nanometers to meters)
  • Basic skills in volume measurement using graduated cylinders
NEXT STEPS
  • Study the implications of Archimedes Principle in fluid mechanics
  • Learn advanced density calculations for various materials
  • Explore unit conversion techniques for scientific measurements
  • Investigate the properties of ethanol and its applications in volume calculations
USEFUL FOR

This discussion is beneficial for students in physics or chemistry, educators teaching fluid dynamics, and professionals involved in material science or engineering who require a solid understanding of volume displacement and density relationships.

parwana
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1. [1pt]

What is the volume in milliliters of 124.5 g of ethanol ?



2. [1pt]

A piece of zinc having a mass of 141.5 g is placed in an empty graduated cylinder.
32.0 mL of water is then poured slowly and carefully into the same cylinder. The final water level would indicate what value for the total number of milliliters in the graduated cylinder ?


3. [1pt]

The piece of zinc in the above question has a length of 7.00 cm and a width of 2.80 cm &nbsp. What is the depth of the metal (ie, the third dimension) in centimeters. Use Table 1.1 for reference. Report your answer to two decimal places.

4.
Convert 7.06e-8 nanometers to meters.

1 Nanometer= 10^-9, so would it be 70.6 meters??
 
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Hint: Density = Mass / Volume, or Volume = Mass / Density

For the last one = 1 nm = 1x10-9 m,

so 7.06x10-8 nm = how many meters?
 
i'm assuming you're able to look up the density of the various objects?

consider the archimedes principle for problem 2. when an object is placed in a less dense liquid, the object will sink. there isn't enough force from the liquid pushing up on the object. what happens to the water the object has displaced? what's the significance of the volume change in the water?
 

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