Solving Heat Capacity Problem: 60K to 80K

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.
  • #1
Pete_01
51
0

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.


Homework Equations


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?
 
Physics news on Phys.org
  • #2
I guess you should integrate.
 

Related to Solving Heat Capacity Problem: 60K to 80K

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.

Similar threads

  • Biology and Chemistry Homework Help
Replies
5
Views
131
  • Biology and Chemistry Homework Help
Replies
5
Views
3K
  • Biology and Chemistry Homework Help
Replies
5
Views
2K
  • Biology and Chemistry Homework Help
Replies
7
Views
3K
Replies
8
Views
2K
Replies
1
Views
758
  • Thermodynamics
Replies
28
Views
2K
  • Biology and Chemistry Homework Help
Replies
11
Views
5K
  • Introductory Physics Homework Help
Replies
3
Views
1K
  • Biology and Chemistry Homework Help
Replies
3
Views
1K
Back
Top