Match the following: Column I: (A) Boyle's law (B) Charle's law (C) Avogadro's law (D) Graham's law — States of Matter and Gaseous State Chemistry Question

💡 Solution & Explanation

(A) Boyle's law: $PV=K$ at const $T$. Differentiating w.r.t. $P$: $[d(PV)/dP]_T=0$ (R). Differentiating w.r.t. $V$: $P+V(dP/dV)_T=0\Rightarrow -(dP/dV)_T=P/V$ (P). (B) Charle's law: $V=K'T\Rightarrow (dV/dT)_P=V/T$ (Q). (C) Avogadro's law: $V=nRT/P\Rightarrow (dV/dn)_{P,T}=RT/P$ (S). (D) Graham's law: $dP/dt=k/\sqrt{d}$ (T).