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A glass vessel weighed 20.2376g when empty and 20.3102g when filled to an etched mark with water at 4 degrees Celsius. The same vessel was the dried and filled to the same mark with a solution at 4 degrees Celsius. The vessel was now found to weigh 20.3300g. What is the density of the solution in g/mL? (dH20 at 4 degrees = 1.000g/mL)

Question

A glass vessel weighed 20.2376g when empty and 20.3102g when filled to an etched mark with water at 4 degrees Celsius. The same vessel was the dried and filled to the same mark with a solution at 4 degrees Celsius. The vessel was now found to weigh 20.3300g. What is the density of the solution in g/mL? (dH20 at 4 degrees = 1.000g/mL)

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Step 1

A glass vessel weighed 20.2376g when empty and 20.3102g when filled to an etched mark with water at 4 degrees Celsius. The same vessel was the dried and filled to the same mark with a solution at 4 degrees Celsius. The vessel was now found to weigh 20.3300g. We have to determine the density of the solution in g/mL.

Step 2

Calculate the volume of glass vessel or water:

At 4°C,

Density of water = 1.000 g/mL

Mass of vessel with water = 20.3102 g

Mass of empty vessel = 20.2376 g

Mass of water
Density of water =
Volume occupied by water
Mass of water = Mass of filled vessel - mass of empty vessel
= 20.3102g 20.2376g 0.0726 g
Mass of water
0.0726 g
. Volume occupied by water
Density of water
1.000 g/mL
Volume occupied by water = 0.0726 mL
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Mass of water Density of water = Volume occupied by water Mass of water = Mass of filled vessel - mass of empty vessel = 20.3102g 20.2376g 0.0726 g Mass of water 0.0726 g . Volume occupied by water Density of water 1.000 g/mL Volume occupied by water = 0.0726 mL

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Step 3

Calculate the density of given solution-

Mass of vessel with solution = 20.3300 g

Mass of empty v...

Mass of solution
Density of solution
Volume of solution
Mass of solution = Mass of filled vessel with solution - mass of empty vessel
= 20.3300g-20.2376g
0.0924 g
. Density of solution = 0.0924 g 1.27 g/mL
0.0726 mL
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Mass of solution Density of solution Volume of solution Mass of solution = Mass of filled vessel with solution - mass of empty vessel = 20.3300g-20.2376g 0.0924 g . Density of solution = 0.0924 g 1.27 g/mL 0.0726 mL

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