Why did the Duke de Bouillon surrender Sedan to gain his freedom?

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Turenne, Henri de La Tour d'Auvergne, vicomte de — Henri de La Tour d’Auvergne, vicomte de Turenne Henri de La Tour d'Auvergne, vicomte de Turenne, engraving by Robert Nanteuil, 1665; in the National Gallery of Art, Washington, D.C.

The Duke de Bouillon was arrested following the discovery of a conspiracy led by the Marquis de Cinq-Mars against Cardinal de Richelieu in 1642. To secure his release from custody, the Duke was compelled to surrender the stronghold of Sedan to the French crown.1