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Description of Heat Capacity

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Calculate the specific heat capacity of benzene(C6H6), given that 192 J of heat is required to raise the temperature of a 20.0g sample of benzene from 25.2 C to 38.8 C.

What is the molar heat capacity of benzene? (the molar heat capacity is the heat capacity of 1 mole of benzene)

3.50 Kcal of heat is removed from a 1.50 Kg sample of water initially at 25.2 C.
What is the final temperature?

Three separate experiments are done to determine the specific heat capacities of three different metals (zinc, platinum, and aluminium). The specific heat of each metal is determined as follows.

150.0 g of the metal initially at 100 Celsius is immersed in 50.0g of water initially at 22.0 Celsius. The final temperatures are given below. What is the specific heat capacity of each metal expressed as j/g Celsius?
a-Zinc, final temperature, 39.0 Celsius.
b- platinum, final temperature, 28.9 Celsius.
c-aluminium, final temperature, 52.8 Celsius.

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Solution Preview

These problems have to do with the approximation that the heat capacity of a material (vibrational, translational, rotational, energy absorption of a material) is approximately a constant for a small energy absorption range which is measured as a temperature difference provided that the phase of the material does not change in the process of the heating or cooling.

The results specific to your problem are worked in the attachment provided.

Change in Enthalpy is proportional to the change in temperature with the proportionality constant being the heat capacity. You will learn later that heat capacity is in general temperature dependent so this is still only an approximation. ...

Solution Summary

This solution is provided in 527 words. It provides a general discussion of enthalpy and temperature change. A reference is provided to further learning and the solutions to the specific problems are attached in a .doc file.

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The Law of Dulong and Petit states

The Law of Dulong and Petit states that the heat capacity per mole of many metals is approximately 6.0 calories per mole-degree C. Knowing that the specific heat capacity of three metals in Joules per gram-degree C is 0.45 for Fe, 0.24 fo Ag, and 0.13 for Au, do these metals agree with the law of Dulong and Petit? How do you know this? Using your understanding of bonding in metals, explain why this law appears to hold.

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