Problem: For the following reaction, Kp = 2.25 x 104 at 298 K and ΔHrxn = -128 kJ/mol.CO (g) + 2 H2 (g) ⇌ CH3OH (l)Which of the following is the correct value of Kp at 0°C?A. 1.9 x 102B. 2.5 x 106C. 1.1 x 102D. 2.5 x 103E. 1.9 x 104

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We’re being asked to determine the correct value of Kp at 0°C.

CO (g) + 2 H2 (g) ⇌ CH3OH (l)        Kp = 2.25 x 104 at 298 K and ΔHrxn = -128 kJ/mol.


We can use the van't Hoff equation to solve for the Kp of the reaction at 0°C.

ln K2K1=-HrxnR[1T2-1T1]

where:
K1 = equilibrium constant at T1
K2 = equilibrium constant at T2
ΔHrxn = heat of vaporization (in J/mol)
R = gas constant (8.314 J/mol•K)
T1 and T2 = temperature (in K)

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Problem Details

For the following reaction, Kp = 2.25 x 104 at 298 K and ΔHrxn = -128 kJ/mol.

CO (g) + 2 H2 (g) ⇌ CH3OH (l)

Which of the following is the correct value of Kp at 0°C?

A. 1.9 x 102

B. 2.5 x 106

C. 1.1 x 102

D. 2.5 x 103

E. 1.9 x 104

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