The Archimedes Principle and Volume Change in Water

AI Thread Summary
The discussion focuses on applying the Archimedes Principle to various problems involving volume and density. It begins with calculating the volume of 124.5 g of ethanol, followed by determining the total volume in a graduated cylinder after adding 32.0 mL of water and a piece of zinc weighing 141.5 g. Participants also explore finding the depth of the zinc piece using its dimensions and reference data. Additionally, there is a conversion of 7.06e-8 nanometers to meters, emphasizing the importance of understanding unit conversions. The significance of volume change in water when an object is submerged is highlighted, illustrating the principle that an object displaces a volume of liquid equal to its own volume when submerged.
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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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