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Boyle's law says that for a gas at a fixed temperature, the pressure is inversely proportional to…
Contributed by StemPy LabTry it on paper first. A hint, the key idea and the worked solution are here when you need them.
Boyle's law says that for a gas at a fixed temperature, the pressure is inversely proportional to the volume. A student measures the volume in litres, 1, 2, 3, 4 and 5, and the pressure in kPa, 12.1, 6.0, 4.1, 3.0 and 2.4. Find the power from the logarithms, and predict the pressure at 6 litres. Also find the product of the pressure and the volume for each row, and its mean and spread.
The worked solution
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Work it out on paper first. It is fine to get stuck or make a mistake: that is how we learn. When you are ready, go through the solution one step at a time, and check each step against your own.
Plan. A power means that the product is constant. Both checks use the table.
Check. The power is , so . The predicted pressure at 6 litres is 2.01 kPa. The product is 12.1, 12.0, 12.3, 12.0 and 12.0, with the mean 12.08 and a spread of 0.13: nearly constant, as Boyle's law says.
Answer: the power is , the pressure at 6 L is about 2.0 kPa, and kPa litres.
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