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Coefficient of Expansion of Copper

Essay by   •  April 3, 2019  •  Lab Report  •  732 Words (3 Pages)  •  25 Views

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V. RESULTS

Table 1. Coefficient of Expansion of Copper

Record of Data

Specimen

Trial I

(Lever type)

Trial II

(Micrometer type)

Length of rod

Lo

60 cm

60.2 cm

Temperature of rod

To

26°C

26°C

First reading of screw

S1

60 cm

59.865 cm

Second reading of screw

S2

60.04 cm

59.910 cm

Therefore, elongation

e

0.04 cm

0.045 cm

Final Temperature

T

67°C

69°C

(Computed)

(Accepted value)

% difference

1.63x10-5

1.75x10-5

1.9x10-5

1.9x10-5

14.21%

7.9%

Table 2. Coefficient of Expansion of Aluminum

Record of Data

Specimen

Trial I

(Lever type)

Trial II

(Micrometer type)

Length of rod

Lo

59.80 cm

59.815 cm

Temperature of rod

To

26°C

26°C

First reading of screw

S1

59.80 cm

59.815 cm

Second reading of screw

S2

59.83 cm

59.847 cm

Therefore, elongation

e

0.03 cm

0.032 cm

Final Temperature

T

50°C

50°C

(Computed)

(Accepted value)

% difference

20.9x10-6

22.3x10-6

23x10-6

23x10-6

9.13%

3.18%

VI. DISCUSSION

        Table 1 shows the data that were gathered for the purpose of computing the coefficient of linear expansion of the copper rod. The lever-type linear expansion model was used in the first trial. The initial length of the rod at an initial temperature of 26°C was 60 cm. When the rod was heated, it expanded by 0.04 cm at 67°C. Given these measurements, the final length of the rod was computed to be 60.04 cm at a temperature change of 41°C. The coefficient of linear expansion of the copper rod was then calculated by using the formula . The computed value of the coefficient of linear expansion for the copper rod was 1.63🞨10-5. The percent error or percent difference of the computed value to the accepted value of 1.9🞨10-5 was calculated to be 14.21%. For the 2nd trial, the micrometer-type linear expansion model was used. The first reading of the screw was 59.865 cm at an initial temperature of 26°C. When heated, it expanded by 0.045 cm to 59.910 cm at a temperature change of 43°C. The computed value for the coefficient of linear expansion was 1.75🞨10-5, with a percent error of 7.9%. This shows that using the micrometer-type apparatus is more accurate than the lever-type.[pic 1]

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