Question

Which of the following curves represent(s) Boyle's law?

• A.
• B.
• C.
• D.

Answer 1

Answer: (A), (B), (C), (D)

$PV=\text{const.}$
$\therefore$ (a) $P\text{vs}V$ is rectangular hyperbola

(b) $\frac{1}{P}\text{vs}V:$
$y=\frac{1}{P}\therefore \frac{1}{y}=P$ and $x=V$
$\therefore \frac{1}{y}\times x=\text{constant}$
$\therefore y=\text{const.}\times x$ (straight line through origin)

(c) $PV\text{vs}V:PV=\text{const.}$ $\therefore y=\text{const.}$
(straight line parallel to x-axis)

(d) $P\text{vs}\frac{1}{V}:$
$x=\frac{1}{V}\therefore V=\frac{1}{x}$ and $P=y$
$\therefore PV=\text{const.}\Rightarrow \frac{y}{x}=\text{const.}$
$\Rightarrow$ straight line through origin
$\therefore$ [A], [B], [C], [D]