Butadiene can be formed by dehydrogenation of n-butane: 

C₄ H₁₀ ↔ C₄ H₆ + 2H₂ 

This reaction is carried out in the gas phase.

A. Calculate the equilibrium constant of this reaction at K_298.15. 

B. A closed-system reactor initially contains 1 mole of n-butane. If the reactor is maintained at T = 298.15 K and P = 1 bar, determine the contents of the reactor at equilibrium. 

C. A closed-system reactor initially contains 1 mole of butadiene and 1 mole of hydrogen. The reactor is maintained at P = 1 bar, and a constant temperature at which the reaction has K_T = 50. Determine the contents of the reactor at equilibrium. 

Assume ideal gas behavior for parts B and C.