(a) What is the molar heat capacity of liquid water? J/mol °C 75 (b) What is the heat capacity of 8.75 mol of liquid water? 36.6 ]₁/°C (c) How many kJ of heat are needed to raise the temperature of 5.47 kg of water from 42.6 °C to 68.3 °C? kJ

Chemistry
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Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
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### Heat Capacity and Temperature Change

**(a) What is the molar heat capacity of liquid water?**

- **Answer:** 75 J/mol °C  

**(b) What is the heat capacity of 8.75 mol of liquid water?**

- **Answer:** 38.6 J/°C  

**(c) How many kJ of heat are needed to raise the temperature of 5.47 kg of water from 42.6 °C to 68.3 °C?**

- **Answer:** (Answer area left blank)

### Explanation and Calculation

To calculate heat required or heat capacity, the following formula is typically used:
\[ q = m \cdot c \cdot \Delta T \]

Where:
- \( q \) is the heat energy transferred (in joules or kilojoules).
- \( m \) is the mass (in kilograms or moles).
- \( c \) is the specific heat capacity or molar heat capacity (in J/kg°C or J/mol°C).
- \( \Delta T \) is the change in temperature (in °C).

This educational illustration asks questions to aid understanding of calculating heat capacity and energy needed for temperature changes in the context of liquid water.
Transcribed Image Text:### Heat Capacity and Temperature Change **(a) What is the molar heat capacity of liquid water?** - **Answer:** 75 J/mol °C **(b) What is the heat capacity of 8.75 mol of liquid water?** - **Answer:** 38.6 J/°C **(c) How many kJ of heat are needed to raise the temperature of 5.47 kg of water from 42.6 °C to 68.3 °C?** - **Answer:** (Answer area left blank) ### Explanation and Calculation To calculate heat required or heat capacity, the following formula is typically used: \[ q = m \cdot c \cdot \Delta T \] Where: - \( q \) is the heat energy transferred (in joules or kilojoules). - \( m \) is the mass (in kilograms or moles). - \( c \) is the specific heat capacity or molar heat capacity (in J/kg°C or J/mol°C). - \( \Delta T \) is the change in temperature (in °C). This educational illustration asks questions to aid understanding of calculating heat capacity and energy needed for temperature changes in the context of liquid water.
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