Question

Which of the following is/ are the correct graphical representation of Boyle's Law?

• A.
• B.
• C. Both A and B
• D. Neither A nor B

Answer 1

The correct option is C

Both A and B

According to Boyle's law - $P\alpha \frac{1}{V}$ or $P\alpha \frac{k}{V}$, and hence, $PV=k$ where $k$ is a constant.

Thus, $P_1{V}_1=P_2{V}_2$,
where $P_{1}and{V}_1$ = initial preesure and volume, and $P_{2}and{V}_2$ = final.

This means that PV remains constant. Hence, for an ideal gas, at constant T, if we vary the P, the product $PV$ will remain constant. This is represented by the following graph -

Here, $T_2>T_1$


Now, as P =$k.\frac{1}{V}$, as V increases, P will decrease. It is a linear graph with P in the y axis, $\frac{1}{V}$ in the x axis, and the constant $k$ as the slope.

This is represented by the graph-