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How do Solutes Affect a
   Solutions Angle Of
      Refraction?
By, Prajwal Keranahalli
Background
Snell's Law describes the physics of refraction. The
  index of refraction of a liquid depends on the
  density of the liquid. Dissolving sugar in water
  results in a solution with density greater than
  that of water alone. Since sugar water is more
  dense than plain water, sugar water should
  have a higher index of refraction than plain
  water.
More Background
Density of the solutes that I am going
 to use:

Baking Soda: 2.20 g/cm3
Salt: 2.16 g/cm3
Sugar: 1.5620 g/cm3
Hypothesis
If the solute is baking soda, then the
  index of refraction of the solution will
  be greater, because baking soda has
  more density than salt and sugar,
  and greater density results in a
  greater angle of refraction.
Independent Variable/ Dependant
           Variable/ Controls
Independent Variable: The Solute

Dependant Variable: The Index of Refraction

Control:
The Index of Refraction in water with no solute(0.4)

Controls:
The Type of Container
The Type of Water
The Type of Light
The Amount of Each Solute
Materials
   A Laser Pointer
   2, 1”×3” pieces of glass
   Cardboard
   Measuring Cup
   100 mL of Salt, Sugar, and Baking Soda
   A Graphing Calculator
   Electrical Tape
   Epoxy glue
   Tape
   400 mL of Water
   Glass Cutter
   12in. of String
   Tape measure
   Graph Paper
   Tooth Picks
Procedures
1.   Cut your 1”×3” glass piece into 3 equal parts using a glass cutter.
     Complete this step with adult supervision.

2.   Arrange the 3 pieces of glass to form an equilateral triangular prism. Glue
     it together using epoxy glue. Allow it to set.

3.   Glue the prism on top of another 1”×3” glass piece. Allow it to set.

4.   Take your laser and shine it perpendicular to the wall, place the empty
     prism in front of the beam (the beam should not be diverted) and record
     where the beam hits the prism and wall.

5.   Make 3 solutions by mixing 50 mL water with 0.25 teaspoons of Salt,
     Sugar, and Baking Soda.

6.   Pour one of your solutions into the prism until it is almost full.

7.   Shine the laser through the prism and record where the light hits the
     prism and wall.

8.   Repeat steps 1-7 with the other solutions
To Find the Index of Refraction




1.   Measure the distances of X and L (indicated on the diagram), it will
     define the measure of minimum deviation which will be used to find
     the index of refraction.

2.   Also find the distance between segment CA

3.   Use X and L to find the arctangent. Opposite/Adjacent=X/L=measure
     of angle of minimum deviation=Ømd

4.   Plug the angle of minimum deviation into the equation:
     2.00056sin(0.5(Ømd+60))
     this will give you the index of refraction.
Measurements
          Sugar     Salt       Baking
                               Soda
X         134 mm.   220.2621   164.0914
                    mm.        mm.

L         274 mm.   272 mm.    263 mm.



Segment   312 mm.   364 mm.    310 mm.
CA

Ømd       28.57 °   41.65°     31.96°
Sugar     Baking Soda      Salt




Water                   Where Laser
                        hit the Wall



        No Solution
Data Table

Type of   Solutions Index of Refraction
Solute in
the
          Trail 1 Trail 2 Trail 3 Average
Solution


Sugar    0.6      0.6   0.5      0.56
Baking   1.8      1.9   1.8      1.83
Soda
Salt     1.1      1     1.2      1.1
Graph
                     Type of Solute V.S. the Solutions Index of Refraction

                       2


                     1.5
Solutions Index of
Refraction (AVG.)




                                                                    Sugar
                                                                    Baking Soda
                       1
                                                                    Salt
                                                                    Water
                     0.5


                       0
                               Type of Solute in the Solution
Conclusion
Solutions with higher density had greater index of
refraction. My hypothesis was supported through
the data. Baking soda which had the most density
had more refraction than salt and sugar. It had a
refraction of 1.83 while salt was 1.1 and sugar
was 0.56. And the refraction of all the solutes
was greater than the refraction water which was
0.4. So it is proven that an increase in density
does result in a greater index of refraction. I
already knew that substances refract light but
this experiment explained to me why this
happens and why some substances refract more
light than others. I could have improved my
experiment by constantly replacing my lasers
batteries so that I so that is could get more
consistent measurements. A good follow up
experiment would be to test how different
concentrations of solute in a solution would affect
index of refraction.
Math Behind the Experiment 1

                    X


                        Angle of Minimum
                        Deviation




                L
Math Behind the Experiment 2

                Segment
                CA


                                    X




Used for Sine
                              Used for
                              Arctangent




                          L
Math Behind the Experiment 3
Ø=   Arcsine = opposite/hypotenuse
Ø=   Arctangent = opposite/adjacent
Ø=   Arccosine = adjacent/hypotenuse

Sine = opposite/hypotenuse
Tangent = opposite/adjacent
Cosine = adjacent/hypotenuse

*(Sohcahtoa)

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How do solutes affect a solutions angle of

  • 1. How do Solutes Affect a Solutions Angle Of Refraction? By, Prajwal Keranahalli
  • 2. Background Snell's Law describes the physics of refraction. The index of refraction of a liquid depends on the density of the liquid. Dissolving sugar in water results in a solution with density greater than that of water alone. Since sugar water is more dense than plain water, sugar water should have a higher index of refraction than plain water.
  • 3. More Background Density of the solutes that I am going to use: Baking Soda: 2.20 g/cm3 Salt: 2.16 g/cm3 Sugar: 1.5620 g/cm3
  • 4. Hypothesis If the solute is baking soda, then the index of refraction of the solution will be greater, because baking soda has more density than salt and sugar, and greater density results in a greater angle of refraction.
  • 5. Independent Variable/ Dependant Variable/ Controls Independent Variable: The Solute Dependant Variable: The Index of Refraction Control: The Index of Refraction in water with no solute(0.4) Controls: The Type of Container The Type of Water The Type of Light The Amount of Each Solute
  • 6. Materials  A Laser Pointer  2, 1”×3” pieces of glass  Cardboard  Measuring Cup  100 mL of Salt, Sugar, and Baking Soda  A Graphing Calculator  Electrical Tape  Epoxy glue  Tape  400 mL of Water  Glass Cutter  12in. of String  Tape measure  Graph Paper  Tooth Picks
  • 7. Procedures 1. Cut your 1”×3” glass piece into 3 equal parts using a glass cutter. Complete this step with adult supervision. 2. Arrange the 3 pieces of glass to form an equilateral triangular prism. Glue it together using epoxy glue. Allow it to set. 3. Glue the prism on top of another 1”×3” glass piece. Allow it to set. 4. Take your laser and shine it perpendicular to the wall, place the empty prism in front of the beam (the beam should not be diverted) and record where the beam hits the prism and wall. 5. Make 3 solutions by mixing 50 mL water with 0.25 teaspoons of Salt, Sugar, and Baking Soda. 6. Pour one of your solutions into the prism until it is almost full. 7. Shine the laser through the prism and record where the light hits the prism and wall. 8. Repeat steps 1-7 with the other solutions
  • 8. To Find the Index of Refraction 1. Measure the distances of X and L (indicated on the diagram), it will define the measure of minimum deviation which will be used to find the index of refraction. 2. Also find the distance between segment CA 3. Use X and L to find the arctangent. Opposite/Adjacent=X/L=measure of angle of minimum deviation=Ømd 4. Plug the angle of minimum deviation into the equation: 2.00056sin(0.5(Ømd+60)) this will give you the index of refraction.
  • 9.
  • 10. Measurements Sugar Salt Baking Soda X 134 mm. 220.2621 164.0914 mm. mm. L 274 mm. 272 mm. 263 mm. Segment 312 mm. 364 mm. 310 mm. CA Ømd 28.57 ° 41.65° 31.96°
  • 11. Sugar Baking Soda Salt Water Where Laser hit the Wall No Solution
  • 12. Data Table Type of Solutions Index of Refraction Solute in the Trail 1 Trail 2 Trail 3 Average Solution Sugar 0.6 0.6 0.5 0.56 Baking 1.8 1.9 1.8 1.83 Soda Salt 1.1 1 1.2 1.1
  • 13. Graph Type of Solute V.S. the Solutions Index of Refraction 2 1.5 Solutions Index of Refraction (AVG.) Sugar Baking Soda 1 Salt Water 0.5 0 Type of Solute in the Solution
  • 14. Conclusion Solutions with higher density had greater index of refraction. My hypothesis was supported through the data. Baking soda which had the most density had more refraction than salt and sugar. It had a refraction of 1.83 while salt was 1.1 and sugar was 0.56. And the refraction of all the solutes was greater than the refraction water which was 0.4. So it is proven that an increase in density does result in a greater index of refraction. I already knew that substances refract light but this experiment explained to me why this happens and why some substances refract more light than others. I could have improved my experiment by constantly replacing my lasers batteries so that I so that is could get more consistent measurements. A good follow up experiment would be to test how different concentrations of solute in a solution would affect index of refraction.
  • 15. Math Behind the Experiment 1 X Angle of Minimum Deviation L
  • 16. Math Behind the Experiment 2 Segment CA X Used for Sine Used for Arctangent L
  • 17. Math Behind the Experiment 3 Ø= Arcsine = opposite/hypotenuse Ø= Arctangent = opposite/adjacent Ø= Arccosine = adjacent/hypotenuse Sine = opposite/hypotenuse Tangent = opposite/adjacent Cosine = adjacent/hypotenuse *(Sohcahtoa)