A chemical reaction takes place inside a flask submerged in a water bath. The water bath contains 7.50 kg of water at 33.2 °C. During the reaction 69.6 kJ of heat flows out of the flask and into the bath. Calculate the new temperature of the water bath. You can assume the specific heat capacity of water under these conditions is 4.18 J-g K . Be sure your answer has the correct number of significant digits. °C

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### Heat Transfer in a Water Bath Experiment

**Scenario:**
A chemical reaction takes place inside a flask submerged in a water bath. The water bath contains \( 7.50 \, \text{kg} \) of water at \( 33.2 \, ^\circ\text{C} \). During the reaction, \( 69.6 \, \text{kJ} \) of heat flows out of the flask and into the bath.

**Task:**
Calculate the new temperature of the water bath. You can assume the specific heat capacity of water under these conditions is \( 4.18 \, \text{J} \cdot \text{g}^{-1} \cdot \text{K}^{-1} \). Be sure your answer has the correct number of significant digits.

**Input Fields:**
- **Temperature Change Input Field (\(^\circ\text{C}\))**:
  ![Temperature Input Field](https://via.placeholder.com/150x30?text=°C)

- **Multipliers and Options**:
  - \( \times 10 \)
  - Reset
  - Help
  
**Note:** 
Utilize the given information to compute the final temperature accurately. Apply the formula for heat transfer and ensure to convert units where necessary.

**Additional Instructions:**
1. **Formula for Heat Transfer**:
   \( q = mc\Delta T \)

   Where:
   - \( q \) is the heat energy (in Joules)
   - \( m \) is the mass of the water (in grams)
   - \( c \) is the specific heat capacity (in \( \text{J} \cdot \text{g}^{-1} \cdot \text{K}^{-1} \))
   - \( \Delta T \) is the change in temperature (in \( \text{K} \) or \( ^\circ\text{C} \))

2. **Unit Conversion**:
   Convert all units to appropriate measurements before calculations (i.e., make sure the mass is in grams).

3. **Significant Digits**:
   Ensure the correctness of significant digits in your final answer.
Transcribed Image Text:### Heat Transfer in a Water Bath Experiment **Scenario:** A chemical reaction takes place inside a flask submerged in a water bath. The water bath contains \( 7.50 \, \text{kg} \) of water at \( 33.2 \, ^\circ\text{C} \). During the reaction, \( 69.6 \, \text{kJ} \) of heat flows out of the flask and into the bath. **Task:** Calculate the new temperature of the water bath. You can assume the specific heat capacity of water under these conditions is \( 4.18 \, \text{J} \cdot \text{g}^{-1} \cdot \text{K}^{-1} \). Be sure your answer has the correct number of significant digits. **Input Fields:** - **Temperature Change Input Field (\(^\circ\text{C}\))**: ![Temperature Input Field](https://via.placeholder.com/150x30?text=°C) - **Multipliers and Options**: - \( \times 10 \) - Reset - Help **Note:** Utilize the given information to compute the final temperature accurately. Apply the formula for heat transfer and ensure to convert units where necessary. **Additional Instructions:** 1. **Formula for Heat Transfer**: \( q = mc\Delta T \) Where: - \( q \) is the heat energy (in Joules) - \( m \) is the mass of the water (in grams) - \( c \) is the specific heat capacity (in \( \text{J} \cdot \text{g}^{-1} \cdot \text{K}^{-1} \)) - \( \Delta T \) is the change in temperature (in \( \text{K} \) or \( ^\circ\text{C} \)) 2. **Unit Conversion**: Convert all units to appropriate measurements before calculations (i.e., make sure the mass is in grams). 3. **Significant Digits**: Ensure the correctness of significant digits in your final answer.
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