8 Maxine measures the pressure, \(P\) kilopascals, and the volume, \(V\) litres, in a fixed quantity of gas.
Maxine believes that the pressure and volume are connected by the equation
$$P = c V ^ { d }$$
where \(c\) and \(d\) are constants.
Using four experimental results, Maxine plots \(\log _ { 10 } P\) against \(\log _ { 10 } V\), as shown in the graph below.
\includegraphics[max width=\textwidth, alt={}, center]{c982106c-b742-444f-aeed-6f59ff3fae56-10_1386_1076_792_482}
8
- Find the value of \(P\) and the value of \(V\) for the data point labelled \(A\) on the graph.
8 - Calculate the value of each of the constants \(c\) and \(d\).
8 - Estimate the pressure of the gas when the volume is 2 litres.