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Calculate the amount of heat needed to melt 46.4 g of solid acetic acid (HCH, CO,) and bring it to a temperature of 70.9 °C. Be sure your answer has a unit symbol and the correct number of significant digits.

Calculate the amount of heat needed to melt 46.4 g of solid acetic acid (HCH, CO,) and bring it to a temperature of 70.9 °C. Be sure your answer has a unit symbol and the correct number of significant digits.

Chemistry
Chemistry
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
Section: Chapter Questions
Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
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**Educational Content for Chemistry Course:** ### Heat Calculation for Acetic Acid #### Problem Statement: Calculate the amount of heat needed to melt 46.4 g of solid acetic acid (\( HCH_3CO_2 \)) and bring it to a temperature of 70.9 °C. Be sure your answer has a unit symbol and the correct number of significant digits. #### Details: - **Given mass**: 46.4 g - **Substance**: Solid Acetic Acid (\( HCH_3CO_2 \)) - **Final temperature**: 70.9 °C #### Steps for Solution: 1. **Identify the specific heat capacity of acetic acid**: - The specific heat capacity (c) of acetic acid can be found in scientific literature or a chemistry textbook. 2. **Determine the melting point of acetic acid**: - Acetic acid has a known melting point, which you need to identify. 3. **Calculate heat for phase change from solid to liquid**: - Use the formula \( q = m \Delta H_f \) where: - \( q \) = heat required for phase change - \( m \) = mass of the substance - \( \Delta H_f \) = heat of fusion of the substance 4. **Calculate heat required to raise the temperature from melting point to 70.9 °C**: - Use the formula \( q = mc\Delta T \) where: - \( q \) = heat required to raise the temperature - \( m \) = mass of the substance - \( c \) = specific heat capacity of the liquid phase - \( \Delta T \) = change in temperature 5. **Add all required heats to get the total amount of heat needed**: - Total heat \( = q_{phase change} + q_{temperature rise} \) 6. **Ensure the answer has appropriate units and significant digits**: - Make sure the heat calculated is in Joules (J) or calories (cal), depending on the specific heat capacity units. Use the correct significant digits based on the precision of the provided data. #### Diagram: There are no graphs or diagrams provided in the original problem statement. Remember, conducting a systematic approach and providing precise unit handling are critical in solving chemistry thermodynamic problems accurately.
Transcribed Image Text:**Educational Content for Chemistry Course:** ### Heat Calculation for Acetic Acid #### Problem Statement: Calculate the amount of heat needed to melt 46.4 g of solid acetic acid (\( HCH_3CO_2 \)) and bring it to a temperature of 70.9 °C. Be sure your answer has a unit symbol and the correct number of significant digits. #### Details: - **Given mass**: 46.4 g - **Substance**: Solid Acetic Acid (\( HCH_3CO_2 \)) - **Final temperature**: 70.9 °C #### Steps for Solution: 1. **Identify the specific heat capacity of acetic acid**: - The specific heat capacity (c) of acetic acid can be found in scientific literature or a chemistry textbook. 2. **Determine the melting point of acetic acid**: - Acetic acid has a known melting point, which you need to identify. 3. **Calculate heat for phase change from solid to liquid**: - Use the formula \( q = m \Delta H_f \) where: - \( q \) = heat required for phase change - \( m \) = mass of the substance - \( \Delta H_f \) = heat of fusion of the substance 4. **Calculate heat required to raise the temperature from melting point to 70.9 °C**: - Use the formula \( q = mc\Delta T \) where: - \( q \) = heat required to raise the temperature - \( m \) = mass of the substance - \( c \) = specific heat capacity of the liquid phase - \( \Delta T \) = change in temperature 5. **Add all required heats to get the total amount of heat needed**: - Total heat \( = q_{phase change} + q_{temperature rise} \) 6. **Ensure the answer has appropriate units and significant digits**: - Make sure the heat calculated is in Joules (J) or calories (cal), depending on the specific heat capacity units. Use the correct significant digits based on the precision of the provided data. #### Diagram: There are no graphs or diagrams provided in the original problem statement. Remember, conducting a systematic approach and providing precise unit handling are critical in solving chemistry thermodynamic problems accurately.
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