Consider the data about gold metal in Exercise 5.26(b). (c) What is the molar heat capacity of Au(s)?

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Identify the specific heat capacity of gold (Au) from the data provided in Exercise 5.26(b).

Recall the formula for molar heat capacity, which is given by: \( C_m = C_s \times M \), where \( C_s \) is the specific heat capacity and \( M \) is the molar mass.

Look up the molar mass of gold (Au), which is typically found on the periodic table.

Substitute the values of \( C_s \) and \( M \) into the formula to calculate the molar heat capacity of gold.

Ensure the units are consistent and convert if necessary, typically the molar heat capacity is expressed in units of J/(mol\cdot K).

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Key Concepts

Here are the essential concepts you must grasp in order to answer the question correctly.

Molar Heat Capacity

Molar heat capacity is the amount of heat required to raise the temperature of one mole of a substance by one degree Celsius (or one Kelvin). It is an important property that reflects how a substance absorbs and retains heat, influencing its thermal behavior. For solids, this value can vary based on the material's structure and bonding.

Specific Heat Capacity

Specific heat capacity is the heat required to raise the temperature of one gram of a substance by one degree Celsius. While molar heat capacity is expressed per mole, specific heat is often used for practical calculations in chemistry. The relationship between the two can be established by multiplying the specific heat capacity by the molar mass of the substance.

Thermodynamic Properties of Metals

The thermodynamic properties of metals, including heat capacity, are influenced by their atomic structure and bonding. Metals typically have high thermal conductivity and specific heat capacities, which affect how they respond to heat. Understanding these properties is essential for predicting how metals behave under varying temperature conditions, such as in reactions or phase changes.

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Textbook Question

The specific heat of octane, C₈H₁₈(l), is 2.22 J•g/K. (b) Which will require more heat, increasing the temperature of 1 mol of C₈H₁₈(l), by a certain amount or increasing the temperature of 1 mol of H₂O(l) by the same amount?

Textbook Question

Consider the data about gold metal in Exercise 5.26(b). (a) Based on the data, calculate the specific heat of Au(s).

Textbook Question

Consider the data about gold metal in Exercise 5.26(b). (b) Suppose that the same amount of heat is added to two 10.0-g blocks of metal, both initially at the same temperature. One block is gold metal, and one is iron metal. Which block will have the greater rise in temperature after the addition of the heat?

Textbook Question

When a 6.50-g sample of solid sodium hydroxide dissolves in 100.0 g of water in a coffee-cup calorimeter (Figure 5.18), the temperature rises from 21.6 to 37.8 °C (a) Calculate the quantity of heat (in kJ) released in the reaction.

Textbook Question

When a 6.50-g sample of solid sodium hydroxide dissolves in 100.0 g of water in a coffee-cup calorimeter (Figure 5.18), the temperature rises from 21.6 to 37.8 °C (b) Using your result from part (a), calculate H (in kJ/mol KOH) for the solution process. Assume that the specific heat of the solution is the same as that of pure water.

Textbook Question

(b) Is this process endothermic or exothermic?

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