# Solving Heat Capacity Problem: 60K to 80K

• Pete_01
In summary, heat capacity is the amount of heat needed to raise the temperature of a substance by 1 degree Celsius. It is important for understanding energy requirements in scientific and engineering applications. Heat capacity can be calculated by dividing the heat added by the change in temperature. Factors such as mass, composition, and phase change affect heat capacity. To solve a heat capacity problem, the heat added, change in temperature, and heat capacity must be known. Heat capacity is not constant at different temperatures, as it can vary based on factors such as temperature and pressure.
Pete_01

## Homework Statement

In the temperature range from 60 K to 80 K, a certain amount of liquid has a
temperature dependent heat capacity that is given by Cp = 20 J K−1 + T × 0.5 J K−2.
Determine the entropy change resulting from heating this sample from 60 K to 80 K.

C=q/deltaT

## The Attempt at a Solution

This one is confusing me. How does the temperature dependent heat capacity fit in, when the temperature is a range (60-80k)? Also, what equation should I use?

I guess you should integrate.

## 1. What is heat capacity and why is it important?

Heat capacity is the amount of heat required to raise the temperature of a substance by 1 degree Celsius. It is important because it helps us understand how much energy is needed to change the temperature of a substance, which is crucial in many scientific and engineering applications.

## 2. How do you calculate heat capacity?

Heat capacity can be calculated by dividing the amount of heat added to a substance by the change in temperature. This can be expressed as: C = Q/ΔT, where C is heat capacity, Q is the heat added, and ΔT is the change in temperature.

## 3. What factors affect heat capacity?

The heat capacity of a substance depends on its mass, its chemical composition, and the type of phase change it undergoes. Other factors that can affect heat capacity include pressure, temperature, and the presence of impurities.

## 4. How do you solve a heat capacity problem?

To solve a heat capacity problem, you need to know the amount of heat added to a substance, the change in temperature, and the heat capacity of the substance. You can then use the formula C = Q/ΔT to calculate the heat capacity.

## 5. Can heat capacity be constant at different temperatures?

No, heat capacity is not constant at different temperatures. It can vary depending on the temperature range being considered, as well as other factors such as pressure and phase changes. In some cases, the heat capacity may approach a constant value at very high or very low temperatures, but it is not truly constant.

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