2 Fe(OH);(s) + 3 H,SO,(aq) → Fe,(SO,)3(aq) + 6 H,O(1) a) In the first trial, she attempted to completely neutralize 20.0 mL of a 3.00 M acid solution. What is the minimum mass of the solid that must be added to the acid? b) In the second trial, she wanted to completely react 15.9 grams of the solid with 50.0 mL of an acid solution. Determine the minimum concentration of the acid that would be required.

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**Educational Experiment: Reaction between Solid Iron(III) Hydroxide and Sulfuric Acid**

A student conducts a series of five trials to investigate the reaction between solid iron(III) hydroxide and a sulfuric acid solution of varying concentrations. The balanced chemical equation for the reaction is:

\[ 2 \text{Fe(OH)}_3(s) + 3 \text{H}_2\text{SO}_4(aq) \rightarrow \text{Fe}_2(\text{SO}_4)_3(aq) + 6 \text{H}_2\text{O}(l) \]

### a) First Trial:
The student aims to completely neutralize 20.0 mL of a 3.00 M acid solution. 
- **Objective**: Determine the minimum mass of the solid that must be added to the acid.

### b) Second Trial:
The goal is to fully react 15.9 grams of the solid with 50.0 mL of an acid solution.
- **Objective**: Calculate the minimum concentration of the acid required.

### c) Third Trial:
The experiment involves 2.50 grams of the solid reacting to completion with 100.0 mL of an acid solution. The solution's temperature drops from 21.0 °C to 18.89 °C.
- **Objective**: Calculate the change in enthalpy (\(\Delta H\)).

### d) Fourth Trial:
In this trial, 49.6 mL of a 0.500 M acid solution completely reacts with an excess of solid.
- **Objective**: Calculate the amount of heat transferred during the reaction.

### e) Final Trial:
The student combines 1.74 grams of the solid with 15.0 mL of a 0.100 M acid solution.
- **Objective**: Determine the molarity of the iron(III) sulfate produced. Assume that the addition of the solid doesn't significantly alter the volume of the solution.
Transcribed Image Text:**Educational Experiment: Reaction between Solid Iron(III) Hydroxide and Sulfuric Acid** A student conducts a series of five trials to investigate the reaction between solid iron(III) hydroxide and a sulfuric acid solution of varying concentrations. The balanced chemical equation for the reaction is: \[ 2 \text{Fe(OH)}_3(s) + 3 \text{H}_2\text{SO}_4(aq) \rightarrow \text{Fe}_2(\text{SO}_4)_3(aq) + 6 \text{H}_2\text{O}(l) \] ### a) First Trial: The student aims to completely neutralize 20.0 mL of a 3.00 M acid solution. - **Objective**: Determine the minimum mass of the solid that must be added to the acid. ### b) Second Trial: The goal is to fully react 15.9 grams of the solid with 50.0 mL of an acid solution. - **Objective**: Calculate the minimum concentration of the acid required. ### c) Third Trial: The experiment involves 2.50 grams of the solid reacting to completion with 100.0 mL of an acid solution. The solution's temperature drops from 21.0 °C to 18.89 °C. - **Objective**: Calculate the change in enthalpy (\(\Delta H\)). ### d) Fourth Trial: In this trial, 49.6 mL of a 0.500 M acid solution completely reacts with an excess of solid. - **Objective**: Calculate the amount of heat transferred during the reaction. ### e) Final Trial: The student combines 1.74 grams of the solid with 15.0 mL of a 0.100 M acid solution. - **Objective**: Determine the molarity of the iron(III) sulfate produced. Assume that the addition of the solid doesn't significantly alter the volume of the solution.
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