If we plot a graph between volume V and inverse of pressure P (i.e.. -^) for an ideal gas at constant temperature T, the curve so obtained is

According to Boyle's Law, for a fixed mass of an ideal gas at a constant temperature (isothermal process), the pressure (P) is inversely proportional to its volume (V), expressed as PV = constant. Mathematically, this relationship can be written as V = k(1/P), where k is a constant. When plotting a graph between volume (V) on one axis and the inverse of pressure (1/P) on the other, the equation takes the form y = mx, which represents a linear relationship. Consequently, the resulting curve is a straight line passing through the origin. While a plot of P versus V yields a rectangular hyperbola, the transformation to 1/P linearizes the data, making it a standard method to verify gas laws. This linear behavior confirms that volume is directly proportional to the reciprocal of pressure under isothermal conditions.