Match each statement of the third law or its consequences to what it says.

• Nernst statement → Isothermal entropy changes vanish as T approaches zero
• Planck statement → The entropy of a perfect crystal itself tends to zero
• Unattainability → No finite sequence of steps reaches absolute zero
• Vanishing heat capacities → Required for the entropy integral to converge

Nernst constrains entropy changes; Planck fixes the absolute value itself. Unattainability and vanishing heat capacities both follow, the latter because $S = \int (C/T)dT$ must converge at the lower limit.