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The specific heat of gold is 0.129 J/g·°C. What is the molar heat capacity of gold?

A. 0.0394 J/mol·°C
B. 0.129 J/mol·°C
C. 39.4 kJ/mol·°C
D. 25.4 J/mol·°C
E. 197 J/mol·°C

Answer :

The molar heat capacity of gold is approximately 25.413 J/mol * C. Option D

To find the molar heat capacity of gold, we can follow these steps:

Step 1: Given that the specific heat of gold is 0.129 J/g * C, we need to convert it to J/mol * C.

Step 2: Calculate the number of moles of gold. Since we're given the weight of 1 gram, we can use the molecular mass of gold, which is approximately 197 g/mol. Therefore, the number of moles of gold is 1 g / 197 g/mol = 0.005076 moles.

Step 3: Divide the specific heat (0.129 J/g * C) by the number of moles (0.005076 moles) to obtain the molar heat capacity.

0.129 J/g * C / 0.005076 moles ≈ 25.413 J/mol * C.

Therefore, the molar heat capacity of gold is approximately 25.413 J/mol * C. Option D

It's important to note that the molar heat capacity represents the amount of heat energy required to raise the temperature of one mole of a substance by one degree Celsius. In the case of gold, it takes approximately 25.413 J of energy to raise the temperature of one mole of gold by one degree Celsius.

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Rewritten by : Jeany

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