The best and most correct answer among the choices provided by the question is the second choice , b. sodium hydroxide .
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Answer:
4.41
Explanation:
Step 1: Write the balanced equation
CO(g) + 3 H₂(g) = CH₄(g) + H₂O(g)
Step 2: Calculate the respective concentrations
![[CO]_i = \frac{0.500mol}{5.00L} = 0.100M](https://tex.z-dn.net/?f=%5BCO%5D_i%20%3D%20%5Cfrac%7B0.500mol%7D%7B5.00L%7D%20%3D%200.100M)
![[H_2]_i = \frac{1.500mol}{5.00L} = 0.300M](https://tex.z-dn.net/?f=%5BH_2%5D_i%20%3D%20%5Cfrac%7B1.500mol%7D%7B5.00L%7D%20%3D%200.300M)
![[H_2O]_{eq} = \frac{0.198mol}{5.00L} = 0.0396M](https://tex.z-dn.net/?f=%5BH_2O%5D_%7Beq%7D%20%3D%20%5Cfrac%7B0.198mol%7D%7B5.00L%7D%20%3D%200.0396M)
Step 3: Make an ICE chart
CO(g) + 3 H₂(g) = CH₄(g) + H₂O(g)
I 0.100 0.300 0 0
C -x -3x +x +x
E 0.100-x 0.300-3x x x
Step 4: Find the value of x
Since the concentration at equilibrium of water is 0.0396 M, x = 0.0396
Step 5: Find the concentrations at equilibrium
[CO] = 0.100-x = 0.100-0.0396 = 0.060 M
[H₂] = 0.300-3x = 0.300-3(0.0396) = 0.181 M
[CH₄] = x = 0.0396 M
[H₂O] = x = 0.0396 M
Step 6: Calculate the equilibrium constant (Kc)
![Kc = \frac{[CH_4] \times [H_2O] }{[CO] \times [H_2]^{3} } = \frac{0.0396 \times 0.0396 }{0.060 \times 0.181^{3} } = 4.41](https://tex.z-dn.net/?f=Kc%20%3D%20%5Cfrac%7B%5BCH_4%5D%20%5Ctimes%20%5BH_2O%5D%20%7D%7B%5BCO%5D%20%5Ctimes%20%5BH_2%5D%5E%7B3%7D%20%7D%20%3D%20%5Cfrac%7B0.0396%20%5Ctimes%200.0396%20%7D%7B0.060%20%5Ctimes%200.181%5E%7B3%7D%20%7D%20%3D%204.41)