Enter your answer in the provided box. The formation of methanol is important to the processing of new fuels. At 298.0 K, Kp = 2.25 × 104 for the reaction CO(g) + 2 H2(g) ⇌ CH3OH(l) If ΔH o rxn = −128 kJ/ mol CH3OH, calculate Kp at 1°C. × 10 -6 (Enter your answer in scientific notation.)

Respuesta :

Answer:

[tex]K_T=2.014x10^6[/tex]

Explanation:

Hello,

By assuming the validity (constant ΔH°rxn) of the van't Hoff equation:

[tex]ln(\frac{K_T}{K_{T^0}})=-\frac{H_{rxn}}{R} (\frac{1}{T} -\frac{1}{T^0} )[/tex]

Solving for [tex]K_T[/tex] it means the equilibrium constant at 1 °C, we get:

[tex]ln(K_T)=ln(2.25x10^4)-\frac{-128000J/mol}{8.314J/(mol*K)}*(\frac{1}{274.15K}-\frac{1}{298K}  ) \\\\ln(K_T)=14.52[/tex]

Finally:

[tex]K_T=exp(14.52)\\\\K_T=2.014x10^6[/tex]

Best regards.