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
Question
Match the description in Column I with graph in Column II for n moles of an ideal gas at constant temperature: Column I: (A) P/V vs P (B) P/V vs V (C) V/P vs 1/P^2 (D) P/V vs log P Column II: (P) Graph showing a curve starting from a non-zero value and increasing quadratically (Q) Graph showing a straight line starting from origin with positive slope (R) Graph showing a decreasing hyperbolic curve (S) Graph showing an exponentially increasing curve
💡 Solution & Explanation
For ideal gas $PV=nRT=K$ (const). (A) $P/V$ vs $P$: $P/V=P^2/K$ — quadratic from origin (looks exponential in graph) → S. (B) $P/V$ vs $V$: $P/V=K/V^2$ — decreasing hyperbola → R. (C) $V/P$ vs $1/P^2$: $V/P=K/P^2=K\cdot(1/P^2)$ — straight line through origin → Q. (D) $P/V$ vs $\log P$: $P/V=10^{2\log P}/K$ — non-zero intercept, increasing curve → P.