The molar heat capacity of silver is 25.35 J/mol - °C. How much energy would it take to raise the temperature of 9.90 g of silver by 12.9°C? Express your answer with the appropriate units. > View Available Hint(s) HA ? Value Units Submit Part C What is the specific heat of silver? Express your answer with the appropriate units. > View Available Hint(s) HA Value Units

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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**Learning Goal:**

To understand the concepts of heat capacity, specific heat, and molar heat capacity.

Heat capacity, \( C \), is the amount of energy required to raise the temperature of a substance by exactly 1 degree Celsius. The energy needed to warm an object increases as the mass of that object increases. We see this in our everyday life. For example, we know that it takes much more energy to heat a large tank of water than a small cup. Because of this dependence on mass, experimentally determined heat capacities are always reported in terms of the amount of the substance that is heated. 

One method is to report how much energy it takes to raise the temperature of **one mole** of a substance by exactly 1 degree Celsius. This value is the **molar heat capacity**, which has the symbol \( C_P \). The molar heat capacity is given in the units \( \text{J/(mol} \cdot \degree \text{C)} \).

A second method is to report how much energy it takes to raise the temperature of **one gram** of a substance by exactly 1 degree Celsius. This value is the **specific heat**, which has been given the symbol \( C_S \). The units for specific heat are \( \text{J/(g} \cdot \degree \text{C)} \). The heat capacity of a substance is therefore related to the energy \( q \) needed to raise its temperature by an amount \( \Delta T \). That is, \( q = nC_P\Delta T \), where \( n \) denotes the number of moles of the substance, or \( q = mC_S\Delta T \), where \( m \) denotes the number of grams of the substance.

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**The molar heat capacity of silver is 25.35 J/mol · °C. How much energy would it take to raise the temperature of 9.90 g of silver by 12.9 °C?**

*Express your answer with the appropriate units.*

\[ qq = \text{Value} \quad \text{Units} \]

*Submit*

---

**Part C**

What is the specific heat of silver?

*Express your answer with the appropriate units.*

\[ \text{Value} \quad \text{Units} \]

*Submit*
Transcribed Image Text:**Learning Goal:** To understand the concepts of heat capacity, specific heat, and molar heat capacity. Heat capacity, \( C \), is the amount of energy required to raise the temperature of a substance by exactly 1 degree Celsius. The energy needed to warm an object increases as the mass of that object increases. We see this in our everyday life. For example, we know that it takes much more energy to heat a large tank of water than a small cup. Because of this dependence on mass, experimentally determined heat capacities are always reported in terms of the amount of the substance that is heated. One method is to report how much energy it takes to raise the temperature of **one mole** of a substance by exactly 1 degree Celsius. This value is the **molar heat capacity**, which has the symbol \( C_P \). The molar heat capacity is given in the units \( \text{J/(mol} \cdot \degree \text{C)} \). A second method is to report how much energy it takes to raise the temperature of **one gram** of a substance by exactly 1 degree Celsius. This value is the **specific heat**, which has been given the symbol \( C_S \). The units for specific heat are \( \text{J/(g} \cdot \degree \text{C)} \). The heat capacity of a substance is therefore related to the energy \( q \) needed to raise its temperature by an amount \( \Delta T \). That is, \( q = nC_P\Delta T \), where \( n \) denotes the number of moles of the substance, or \( q = mC_S\Delta T \), where \( m \) denotes the number of grams of the substance. --- **The molar heat capacity of silver is 25.35 J/mol · °C. How much energy would it take to raise the temperature of 9.90 g of silver by 12.9 °C?** *Express your answer with the appropriate units.* \[ qq = \text{Value} \quad \text{Units} \] *Submit* --- **Part C** What is the specific heat of silver? *Express your answer with the appropriate units.* \[ \text{Value} \quad \text{Units} \] *Submit*
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