Please help Making Hydrogen Gas Passing steam over hot carbon produces a mixture
ID: 945361 • Letter: P
Question
Please help Making Hydrogen Gas Passing steam over hot carbon produces a mixture of carbon monoxide and hydrogen: H_2O(g)+ CO(g) equivalent CO(g)+H_2(g) The value of K_c for the reaction at 1000 degree C is 3.0X10^-2. Calculate the equilibrium partial pressures of the products and reactants if P_H_2O= 0.442 atm and P_CO=5.0 atm at the start of the reaction. Assume that the carbon is in excess. Determine the equilibrium partial pressures of the reactants and products after the sufficient CO and H_2 are added to the equilibrium mixture in part a to initially increases the partial pressures of both gases by 0.075 atm.Explanation / Answer
a )
T = 1000 + 273 = 1273 K
Kc = 3.0 x 10^-2
Dn = product moles - reactant moles
= 2 -1
= 1
Kp = Kc (RT)^Dn
Kp = 3.0 x 10^-2 x (0.0821 x 1273)^1
Kp = 3.135
C (s) + H2O (g) -------------------------> CO (g) + H2 (g)
0.442 5.0 0 ----------------------> initial
0.442-x 5.0+x x ------------------------> equilibrium
Kp = (5 +x ) (x) / 0.442 -x
3.135 = (5 +x ) (x) / 0.442 -x
3.135 = (5 x + x^2 ) / 0.442 -x
1.386 - 3.135 x = 5x + x^2
x^2 + 8.135 x - 1.386 = 0
by solving this
x = 0.167
equilibrium pressures :
PH2O = 0.422 - 0.167 = 0.255 atm
PCO = 5 + x = 0.167 = 5.167 atm
PH2 = x = 0.167 atm