At constant temperature, the effect of change of pressure on volume of a gas was as given below:
$\begin{matrix} Pressure in atmospheres & V o l u m e i n l i t r e s 0.20 & 112 0.25 & 89.2 0.40 & 56.25 0.60 & 37.40 0.80 & 28.10 1.00 & 22.4 \end{matrix}$
(a) Plot the following graphs
1. P vs V 2. P vs 1/V 3. PV vs P.
Interpret each graph in terms of a law.
(b) Assuming that the pressure values given above are correct, find the correct measurement of the volume.

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Solution

At constant temperature, P is inversely proportional to V. Thus, the plot of V versus P will be a rectangular hyperbola.

According to Boyle’s law, at constant temperature, pressure of a fixed amount of gas varies inversely to its volume. The graph of pressure verses 1/V shows a positive slope.

According to Boyle’s law, the product of pressure and volume is constant at constant temperature. The graph of PV versus P is constant which indicates that the given gas obeys Boyle’s law.

The correct measurements of the volume are given below:

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