Ethylene can be formed by cracking of propane: 

C₃ H₈ ↔C₂ H₄ + CH₄ 

This reaction is carried out in the gas phase. 

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

B. 1000 lb-mol/hr of n-propane enter a steady-state reactor, which is maintained at T = 298.15 K and P = 1 bar. Determine the composition of the exiting stream, assuming it is at equilibrium. 

C. 1000 lb-mol/hr of n-propane and 1000 lb-mol of nitrogen enter a steady-state reactor, which is maintained at P = 1 bar, and a constant temperature at which the reaction has K_T = 3.5. Determine the composition of the exiting stream, assuming it is at equilibrium. Assume ideal gas behavior for parts B and C.