A group of students are conducting an experiment in the laboratory to determine the value of absolute zero by heating a fixed mass of gas. The volume of the gas is kept constant.
Fig. 17.1 shows the arrangement used by the students.
Fig. 17.1
The gas is heated using a water bath. The temperature θ of the water is increased from 5 °C to 70 °C. The temperature of the water bath is assumed to be the same as the temperature of the gas. The pressure p of the gas is measured using a pressure gauge.
The results from the students are shown in a table.
θ / °C | p / kPa |
5 ± 1 | 224 ± 3 |
13 ± 1 | 231 ± 3 |
22 ± 1 | 238 ± 3 |
35 ± 1 | 248 ± 3 |
44 ± 1 | |
53 ± 1 | 262 ± 3 |
62 ± 1 | 269 ± 3 |
70 ± 1 | 276 ± 3 |
[2]
Fig. 17.2
[1]
Convert this value of p from psi to kPa. Complete the table for the missing value of p.
Include the absolute uncertainty in p.
1 pound of force = 4.448 N
1 inch = 0.0254 m
[2]
Fig. 17.3
[1]
Determine the value of absolute zero. You may assume that the gas behaves as an ideal gas.
[6]
[2]
Compare this value with your value from (c)(ii) and explain why the values may differ. Describe an experimental approach that could be taken to avoid systematic error in the determination of absolute zero.
[4]
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