Final answer:
For the chemical equation 2A + 3B + 4C → D, 9.2 moles of A are required to produce 18.4 mol of C, as determined by the stoichiometric relationship between reactants and products. So the correct option is a.
Step-by-step explanation:
For the general chemical equation given, which we can restate as 2A + 3B + 4C → D, we want to determine how many moles of the reactant A are required to produce 18.4 mol of the product C.
According to the stoichiometry of the equation, 4 moles of C are produced for every 2 moles of A consumed. This means that the ratio of A to C is 1:2. Therefore, to calculate the number of moles of A needed to produce 18.4 moles of C, we set up a simple proportion:
2 moles of A / 4 moles of C = x moles of A / 18.4 moles of C
By cross-multiplying to solve for x, we get:
x = (2 moles of A × 18.4 moles of C) / 4 moles of C
x = 9.2 moles of A
Therefore, 9.2 moles of A are required to produce 18.4 moles of C.
The correct answer is a. 9.2 mol.