Excess of 2moles/dm3 HCL is treated with 2.8gm of Fe as shown in rex F...
Calculation of Volume of HCL Consumed
To calculate the volume of HCL consumed, we need to follow the stoichiometry of the given reaction:
Fe + 2HCl → FeCl2 + H2
From the balanced chemical equation, we can see that 1 mole of iron (Fe) reacts with 2 moles of hydrochloric acid (HCl) to produce 1 mole of iron(II) chloride (FeCl2) and 1 mole of hydrogen gas (H2).
Given that 2 moles/dm3 of HCl is used, we need to determine the number of moles of Fe used in the reaction. We can use the following formula:
Number of moles = mass / molar mass
The molar mass of Fe is 55.845 g/mol. Therefore, the number of moles of Fe used is:
Number of moles of Fe = 2.8 g / 55.845 g/mol = 0.0501 moles
Since the stoichiometry of the reaction is 1:2 for Fe and HCl, the number of moles of HCl used is twice the number of moles of Fe used:
Number of moles of HCl = 2 x 0.0501 moles = 0.1002 moles
Now, we can use the following formula to calculate the volume of HCl consumed:
Volume of HCl consumed (in dm3) = number of moles / molarity
Since the molarity of HCl is 2 moles/dm3, the volume of HCl consumed is:
Volume of HCl consumed = 0.1002 moles / 2 moles/dm3 = 0.0501 dm3 or 50.1 mL
Explanation
The given reaction is a single displacement reaction, where iron reacts with hydrochloric acid to produce iron(II) chloride and hydrogen gas. The balanced chemical equation shows that 1 mole of iron reacts with 2 moles of hydrochloric acid. Therefore, to determine the number of moles of HCl consumed, we need to know the number of moles of Fe used in the reaction. This can be calculated from the given mass of Fe and its molar mass. Once we know the number of moles of Fe used, we can use the stoichiometry of the reaction to determine the number of moles of HCl consumed. Finally, the volume of HCl consumed can be calculated using its molarity and the number of moles consumed.