Dear Chegg, I need help with following Chemistry/Math question and hope that som

Question

Dear Chegg, I need help with following Chemistry/Math question and hope that someone can help me to fill up all the empty places in the chart :) :

- Step by step would be appreciated if possible.. :)) and thanks for reading.

The syngas/synthesis gas, a mixture of Carbon Monoxide and Hydrogen are converted industrially into Methanol by using a Cu-catalyst in according to the following reaction scheme: CO (g) + 2H2(g) CH30H (g) Cu The equilibrium constant K, at 25'C has a value of 2.19-10 and the gases are considered ideal: A) Assume that 1 mole of Carbon Monoxide reacts with 2 moles of di-Hydrogen at 25°C and a total pressure of 1 bar. - Fill up the empty places in the chart down below: CO(g) H2(g) CH,OH g) Substance amount/mol Substance amouunt in equilibrium / mol Total substance amount when in equilibrium: noja, total Mole fraction in equilibrium Partial pressure when in equilibrium - When you're done with following chart, calculate thereafter the substance amount of Methanol in equilibrium when 1 mole of Carbon Monoxide reacts with 2 moles of di-Hydrogen at 25°C and a total pressure of 1 bar.

Explanation / Answer

CO(g) + 2 H2(g) ------> CH3OH (g)

initial substance amount 1 2 0

equilibrium  substance amount 1-x 2-2x x

total concerntration =   1-x + 2-2x + x = 3-2x

mole fraction    1-x /3-2x    2-2x /3-2x x/3-2x

partial fraction = 1-x /3-2x * P 2-2x /3-2x *P x/3-2x*P

2)

as kp = p[CH3OH] / p[CO] p[H2]2 =   (x/3-2x*P)/ 1-x /3-2x * P * (2-2x /3-2x *P)2

2.19 * 10-4 =   x ( 3-2x *P)2 /  1-x * (2-2x)2 as P = 1 bar

2.19 * 10-4 = x(9+4X2-12x) / 1-x (4+4x2-8x)

2.19* 10-4 (1-x (4+4x2-8x))  =  x(9+4X2-12x)

from here solve for X = amount of methanol

  

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