Initial concentration of H2O = mol of H2O / volume in L
= 0.20 mol / 0.250 L
= 0.80 M
Initial concentration of CO2 = mol of CO2 / volume in L
= 0.10 mol / 0.250 L
= 0.40 M
Initial concentration of H2 = mol of H2 / volume in L
= 1.5 mol / 0.250 L
= 6.0 M
ICE Table:
Equilibrium constant expression is
Kc = [CO2]*[H2]/[H2O]*[CO]
4.23 = (0.4-1*x)(6-1*x)/((0.8 + 1*x)(1*x))
4.23 = (2.4-6.4*x + 1*x^2)/(0.8*x + 1*x^2)
3.384*x + 4.23*x^2 = 2.4-6.4*x + 1*x^2
-2.4 + 9.784*x + 3.23*x^2 = 0
This is quadratic equation (ax^2+bx+c=0)
a = 3.23
b = 9.784
c = -2.4
Roots can be found by
x = {-b + sqrt(b^2-4*a*c)}/2a
x = {-b - sqrt(b^2-4*a*c)}/2a
b^2-4*a*c = 1.267*10^2
roots are :
x = 0.2281 and x = -3.257
since x can't be negative, the possible value of x is
x = 0.2281
At equilibrium:
[CO] = +1x = +1*0.2281 = 0.228 M
Answer: 0.23 M
Objective Knowledge Check Suppose a 250. mL flask is filled with 0.20 mol of H20, 0.10...
Objective Knowledge Check Suppose a 250. mL flask is filled with 0.20 mol of H,O, 0.10 mol of CO, and 1.5 mol of H,. The following reaction becomes possible: (H+)00(3oH+)0 The equilibrium constant K for this reaction is 4.23 at the temperature of the flask Calculate the equilibrlum molarity of CO. Round your answer to two decimal places. M ?
Suppose a 250. mL flask is filled with 0.50 mol of H20, 1.0 mol of Co2 and 1.5 mol of H2. The following reaction becomes possible cog)+H20(g)Co()+H28) The equilibrium constant K for this reaction is 4.10 at the temperature of the flask Calculate the equilibrium molarity of H20. Round your answer to two decimal places.
Costa Suppose a 250 ml flask is filled with 1.4 mol of CO, 2.0 mol of H,0 and 0.10 mol of CO2. The following reaction becomes possible: CO(g)+H2O(g) + CO2(g)+H,(g) The equilibrium constant K for this reaction is 0.504 at the temperature of the flask. Calculate the equilibrium molarity of CO,. Round your answer to two decimal places. Ом X 5 ?
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Suppose a 500. mL flask is filled with 0.20 mol of NO2, 1.7 mol of NO and 0.80 mol of CO2. The following reaction becomes possible: NO2(g) +CO(g) = NO(g) + CO2(g) The equilibrium constant K for this reaction is 0.457 at the temperature of the flask. Calculate the equilibrium molarity of NO. Round your answer to two decimal places. MM x 6 ?
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Suppose a 500.mL flask is filled with 0.80 mol of CO, 0.90 mol of CO2 and 0.20mol of H2. The following reaction becomes possible: COg+H2Og--->CO2g+H2g The equilibrium constant K for this reaction is 6.70at the temperature of theflask.Calculate the equilibrium molarity of H2O. Round your answer to two decimal places.
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