Question #347071

when 1.50 mol CO2 and 1.50 mol H2 are placed in a 3.00-L container at 395°C, the following reaction occurs: CO2(g) + H2(g) = CO(g) + H2O(g). If Kc = 0.802, what are the concentrations of each substance in the equilibrium mixture?

1
Expert's answer
2022-06-02T07:48:03-0400

CM (CO2)= n /V = 1,5 / 3 = 0,5 mol/l

CM (H2)= n /V = 1,5 / 3 = 0,5 mol/l

CO2 + H2 = CO + H2O

Concentration for equilibrium:

0,5-x — 0,5-x — x — x


Kc=[CO][H2O][CO2][H2]K_c = \frac {[CO][H_2O]}{[CO_2][H_2]}


0,802=[0,5][0,5][0,5x][0,5x]0,802= \frac {[0,5][0,5]}{[0,5-x][0,5-x]}


0,802 * (0,25 - 0,5x + x2) = 0,25

0,802x2 - 0,401x + 0,2005 = 0,25

0,802x2 - 0,401x - 0,0495 = 0


X1,2=b±b24ac2aX_{1,2} = \frac{-b ±\sqrt{b² -4ac} }{2a}


X=0,401±(0,401)240,8020,049520,802X =\frac{0,401± \sqrt{(-0,401)²-4*0,802*0,0495}}{2*0,802}


X=0,278X= 0,278

ANSWER:

CM (CO2) = 0,5 - 0,278 = 0,222 mol/l

CM (H2) = 0,5 - 0,278 = 0,222 mol/l

CM (CO) = 0,278 mol/l

CM (H2O) = 0,278 mol/l

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