# Problem: At 327ºC, the equilibrium concentrations are [CH 3OH] = 0.15 M, [CO] = 0.24 M, and [H2] = 1.1 M for the reactionCH3OH(g) ⇌ CO(g) + 2H2(g)Calculate Kp at this temperature.

###### FREE Expert Solution

We are being asked to calculate Kp  at 327°C for the reaction:

CH3OH(g) ⇌ CO(g) + 2H2(g)

When dealing with equilibrium:

Kc → equilibrium units are in molarity
Kp → equilibrium units in terms of pressure

Kp and Kc are related to one another by the following equation below:

$\overline{){{\mathbf{K}}}_{{\mathbf{p}}}{\mathbf{=}}{{\mathbf{K}}}_{{\mathbf{c}}}{\left(\mathbf{RT}\right)}^{\mathbf{∆}\mathbf{n}}}$

R = gas constant = 0.08206 (Latm)/(molK)
T = temperature, K
Δn = moles of gas products – moles of gas reactants

Step 1. Calculate Kc:

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###### Problem Details

At 327ºC, the equilibrium concentrations are [CH 3OH] = 0.15 M, [CO] = 0.24 M, and [H2] = 1.1 M for the reaction

CH3OH(g) ⇌ CO(g) + 2H2(g)

Calculate Kp at this temperature.