Final answer:
After reacting iron fillings with hydrogen chloride gas, the remaining mass of iron is calculated to be 6.65 g through the use of stoichiometry and the molar volume of a gas.
Step-by-step explanation:
The question asks us to determine the mass of iron that remained after reacting iron fillings with hydrogen chloride gas. To solve this problem, we use stoichiometry based on the balanced chemical equation:
Fe(s) + 2HCl(g) →
First, we calculate the moles of HCl gas that reacted using the molar volume of a gas at room temperature (24000 cm3/mol).
300 cm3 HCl x (1 mol HCl / 24000 cm3) = 0.0125 mol HCl
Since the reaction consumes two moles of HCl per mole of Fe, the moles of Fe reacted are half that of HCl.
0.0125 mol HCl ÷ 2 = 0.00625 mol Fe
Now, we convert the moles of Fe to mass using its molar mass (56 g/mol).
0.00625 mol Fe x 56 g/mol = 0.35 g Fe
We subtract the mass of iron that reacted from the initial mass to find the remaining mass.
7.0 g Fe - 0.35 g Fe = 6.65 g Fe
Therefore, the mass of iron that remained at the end of the experiment is 6.65 g.