A student runs two experiments with a constant-volume "bomb" calorimeter containing 1100. g of water (see sketch at right). First, a 7.500 g tablet of benzoic acid (CH₂CO₂H) is put into the "bomb" and burned completely in an excess of oxygen. (Benzoic acid is known to have a heat of combustion of 26.454 kJ/g.) The temperature of the water is observed to rise from 11.00 °C to 50.21 °C over a time of 14.5 minutes. Next, 5.020 g of ethanol (C₂H5OH) are put into the "bomb" and similarly completely burned in an excess of oxygen. This time the temperature of the water rises from 11.00 °C to 36.79 °C. Use this information, and any other information you need from the ALEKS Data resource, to answer the questions below about this reaction: Is this reaction exothermic, endothermic, or neither? If you said the reaction was exothermic or endothermic, calculate the amount of heat that was released or absorbed by the reaction in the second experiment. Calculate the reaction enthalpy AHxn per mole of H₂O. O exothermic O endothermic O neither 0 C₂H₂OH(1) + 30₂(g) 2CO₂(g) + 3H₂O(g) Be sure any of your answers that are calculated from measured data are rounded to the correct number of significant digits. Note for advanced students: it's possible the student did not do these experiments sufficiently carefully, and the values you calculate may not exactly match published values for this reaction. kJ kJ stirrer mol 0 thermometer chemical reaction "bomb" A "bomb" calorimeter. 0x water insulation S alo

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**Experimentation with a Bomb Calorimeter**

A student conducts two experiments using a constant-volume "bomb" calorimeter containing 1100 g of water.

**Experiment 1:**
- **Substance:** 7.500 g tablet of benzoic acid \((\text{C}_6\text{H}_5\text{CO}_2\text{H})\)
- **Process:** Burned completely in excess oxygen.
- **Known Data:** Heat of combustion of benzoic acid is 26.454 kJ/g.
- **Temperature Change:** Water temperature rises from 11.00 °C to 50.21 °C over 14.5 minutes.

**Experiment 2:**
- **Substance:** 5.020 g of ethanol \((\text{C}_2\text{H}_5\text{OH})\)
- **Process:** Burned completely in excess oxygen.
- **Temperature Change:** Water temperature rises from 11.00 °C to 36.79 °C.

**Chemical Reaction:**
\[
\text{C}_2\text{H}_5\text{OH(l)} + 3\text{O}_2\text{(g)} \rightarrow 2\text{CO}_2\text{(g)} + 3\text{H}_2\text{O(g)}
\]

**Instructions:**
- Use measured data for calculations, ensuring correct significant digits.
- Consider possible inaccuracies in the student's experimental work compared to published values.

**Questions:**
1. Is this reaction exothermic or endothermic?
   - **Options:** Exothermic, Endothermic, Neither

2. **Energy Calculation:**
   - If identified as exothermic or endothermic, determine the heat absorbed or released in the second experiment.

3. **Enthalpy Calculation:**
   - Compute the reaction enthalpy \(\Delta H_{rxn}\) per mole of \(\text{H}_2\text{O}\).

**Diagram Explanation:**
- **Components:** The diagram depicts a bomb calorimeter with a labeled stirrer, thermometer, water container, insulation, and a section inside representing the chemical reaction.

This setup helps students understand the heat energy changes and calculations involved in combustion reactions using precise calorimetry methods.
Transcribed Image Text:**Experimentation with a Bomb Calorimeter** A student conducts two experiments using a constant-volume "bomb" calorimeter containing 1100 g of water. **Experiment 1:** - **Substance:** 7.500 g tablet of benzoic acid \((\text{C}_6\text{H}_5\text{CO}_2\text{H})\) - **Process:** Burned completely in excess oxygen. - **Known Data:** Heat of combustion of benzoic acid is 26.454 kJ/g. - **Temperature Change:** Water temperature rises from 11.00 °C to 50.21 °C over 14.5 minutes. **Experiment 2:** - **Substance:** 5.020 g of ethanol \((\text{C}_2\text{H}_5\text{OH})\) - **Process:** Burned completely in excess oxygen. - **Temperature Change:** Water temperature rises from 11.00 °C to 36.79 °C. **Chemical Reaction:** \[ \text{C}_2\text{H}_5\text{OH(l)} + 3\text{O}_2\text{(g)} \rightarrow 2\text{CO}_2\text{(g)} + 3\text{H}_2\text{O(g)} \] **Instructions:** - Use measured data for calculations, ensuring correct significant digits. - Consider possible inaccuracies in the student's experimental work compared to published values. **Questions:** 1. Is this reaction exothermic or endothermic? - **Options:** Exothermic, Endothermic, Neither 2. **Energy Calculation:** - If identified as exothermic or endothermic, determine the heat absorbed or released in the second experiment. 3. **Enthalpy Calculation:** - Compute the reaction enthalpy \(\Delta H_{rxn}\) per mole of \(\text{H}_2\text{O}\). **Diagram Explanation:** - **Components:** The diagram depicts a bomb calorimeter with a labeled stirrer, thermometer, water container, insulation, and a section inside representing the chemical reaction. This setup helps students understand the heat energy changes and calculations involved in combustion reactions using precise calorimetry methods.
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