Problem solving T echniques
1. Problem statement:
A beaker of 100ml is Half filled with Water up to the mark of
50ml.We have to find the density of water Theoretically and further
we have to find the density of Beaker and density of System.
2. Schematic explanation:

Beakers:
Beakers hold solids or liquids that will not release gases when
reacted or are unlikely to splatter if stirred or heat ed. 1

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2

Half of the beaker filled with water:
After getting the beaker we will fill half of the beaker with water and
then Calculate its mass.

M easure the mass of a liquid in a beaker :
The massing of a liquid in beaker is relatively simple procedure. The
first step is to zero the scale. Second, an empty, clean, and dry
beaker should then be massed. The mass should be recorded. The
beaker than should be massed again with liquid. The liquid mass can
then be mathematically derived by subtracting the initial mass from
the final. As density, mass and volume are related, temperature
should be measured and recorded as a control. 1

Mass of 100ml of water :
Pure water, standard temperature and pressure, etc. Mass of 100 ml
of water = 100 grams 1

3. Explanation :
As we are finding the density of the beaker and also the density of a
system so first of all we know the density.

Density:
Density is mass per unit volume. which shows that density is
directly proportional to the mass but indirectly to the v olume which
is a scalar quantity means having no direction.

Formula:

The SI unit of density is Kilogram per cubic meter Kg/m3 .

4. Assumptions:
As we come to know that the density of water is 997kg/m3 and
Hence the density of Beaker made up of Glass is 2700 kg/m3
whenever the calculation we do theoretically to find the density of
water and Beaker must be near to their ideal values. Further
experiment is done in Room temperature at 20C and the
instrument s that we use t o weight and Measure parameter of beaker
are free of errors.

5. Properties of Water :
Water:
Water is a chemical substance that is essential to all known forms of
life. It appears colorless to the naked eye in small quantities, though
it is actually slightly blue in color. It covers 71% of Earth’s surface.
Current estimates suggest that there are 1. 4 billion cubic kilometers
(330 million m3) of it available on Earth, and it exists in many forms.
It appears mostly in the oceans (saltwater) and polar i ce caps, but it
is also present as clouds, rain water, rivers, freshwater aquifers,
lakes, and sea ice. Water in these bodies perpetually moves through
a cycle of evaporation, precipitation, and runoff to the sea. 3

Physical water properties:
• Compressibility
• Density and weight
• Heat capacity
• Meniscus
• Rainbows (light)
• Surface tension
• Suspended sediment
• Temperature
• Turbi dity
• Vapor pressure
• Water, the universal solvent 4

6. Calculations:
• Mass of beaker = m b = 50 g = 0. 50 kg
• Mass of water = m w = 5 5.2 g = 0. 552 kg
• Mass of beaker and water = m b+w = 105.2 g = 0.105 kg
• Volume of water = 5 3cm 3 = 0.005 3 m 3
• Height of beaker = 6.35 cm = 0.063 m
• External Radius of b eaker = 23.15 mm = 2.315 cm
• Internal Radius of Beaker = 21.25 m = 2.125 cm
• Volume of beaker = 12.6 cm3 = 0.0000126 m3
• Volume of selected system = 16.8 cm3 = 0.0000168 m3

• Density of water = 1.0 41 g/cm 3

• Density of Beaker = =3.96 g/cm 3

• Density of System = =6. 26g/cm 3

References: