Match the description in Column I with graph in Column II for n moles of an ideal gas at constant te — States of Matter and Gaseous State Chemistry Question

💡 Solution & Explanation

Ideal gas at constant T: $PV = K \implies V = K/P$. (A) $P/V = P/(K/P) = P^2/K$, giving a parabola $y \propto x^2$ (Curve S). (B) $P/V = (K/V)/V = K/V^2$, yielding a rapidly decreasing inverse-square curve (Curve R). (C) $V/P = (K/P)/P = K(1/P^2)$, giving a direct proportionality $y = Kx$, which is a straight line through the origin (Curve Q). (D) $P/V$ vs $\log P$: let $x = \log P$, then $P \propto e^x$, so $y \propto e^{2x}$, an exponential curve with a non-zero initial slope (Curve P). Therefore, correct answer is 1-D, 2-C, 3-B, 4-A.