Concept Map

The textbook's concept map is built around the single title "Gaseous State," branching into two broad halves plus two smaller side-branches. The IDEAL GASES branch lists the four laws every gas obeys under all conditions -- Boyle's law $V\propto1/P$ (T, n constant), Charles's law $V\propto T$ (P, n constant), Gay-Lussac's law $P\propto T$ (V, n constant), and Avogadro's hypothesis $V\propto n$ (T, P constant) -- all converging into the single ideal gas equation $PV=nRT$. The REAL GASES branch instead obeys the van der Waals equation $\left(P+\dfrac{an^2}{V^2}\right)(V-nb)=nRT$, which feeds downward into the critical constants $T_c=\dfrac{8a}{27Rb}$, $P_c=\dfrac{a}{27b^2}$, $V_c=3b$. A separate Diffusion branch leads to Graham's law of diffusion. A Critical phenomenon branch fans out into critical temperature, critical volume and critical pressure, which in turn connects to the liquefaction of gases via the Joule-Thomson effect -- ty …