Answer:
Explanation:We can use the equilibrium constant (K) and the initial concentrations of the reactants to calculate the equilibrium concentrations of reactants and products using the following ICE table:
| I | C | E |
|-------|--------|--------|
| A | 1.0 -x | 1.0-x |
| B | 1.0 -x | 1.0-x |
| C | 0 +x | x |
| D | 0 +x | x |
At equilibrium, the expression for K is:
K = [C][D]/[A][B]
Substituting the equilibrium concentrations in this expression, we get:
4.0 = x^2/(1.0-x)^2
Solving for x using the quadratic equation, we get:
x = 0.67
Substituting this back in the ICE table, we get the equilibrium concentrations:
[A] = [B] = 0.33 M
[C] = [D] = 0.67 M
The maximum amount of C that can be produced is (1.0 M - 0.67 M) = 0.33 M. The theoretical maximum yield of C is the amount of C produced divided by the amount of C that would be produced if all of the reactants were converted to C and D, which is:
maximum yield of C = 0.33 M / (1.0 M + 0.33 M) = 0.25 = 25%
Therefore, the correct answer is (1) 25%.