Specific heat capacity of cream

In summary, the conversation discusses the process of heating cream in silos using hot water pumped through a jacket. The task is to calculate the heat lost by the water and the heat capacity of the cream. Using the equation Q= mc(delta)T, the heat lost by the water is calculated to be -3.78e4kJ, while the heat capacity of the cream is found to be 2749J/kgºC.
  • #1
Priscilla
31
0

Homework Statement



The cream is kept at 5 ºC in the lorries. It is pumped into silos, where it is pre-heated before being pasteurized. The silos are jacketed, and hot water is pumped through the jacket. Assuming no losses, if 300 kg of water at 90ºC enters the jacket and exits at 60 ºC, resulting in 250 kg of cream present in the silo being heated to 60oC, calculate:
a. The amount of heat lost by the water in the jacket of the silo.
b. The heat capacity of the cream
(Heat capacity of water is 4200 J/kg K)

Homework Equations



Q= mc(delta)T


The Attempt at a Solution



a) Q = (300kg)(4200J/kg ºC) (60ºC - 90ºC) = -3.78e4kJ
b) 3.78e4kJ = (250kg)(C)(60ºC - 5ºC)
C = 2749J/kgºC


I don't know if I did it right or not. Please check for me.
 
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  • #2
I have not checked numbers, but approach is correct.
 

1. What is specific heat capacity?

Specific heat capacity is the amount of heat energy required to raise the temperature of a substance by one degree Celsius per unit mass.

2. Why is it important to know the specific heat capacity of cream?

Specific heat capacity is important because it helps us understand how much heat energy is needed to change the temperature of cream. This information can be useful in cooking and food processing, as well as in understanding the behavior of substances in different environments.

3. How is the specific heat capacity of cream measured?

The specific heat capacity of cream can be measured through experiments where the mass and initial temperature of the cream are known, and heat energy is added to the cream until it reaches a higher temperature. The change in temperature and the amount of heat energy added can then be used to calculate the specific heat capacity.

4. Does the specific heat capacity of cream vary depending on its composition?

Yes, the specific heat capacity of cream can vary depending on its composition, such as the amount of fat and water present. Cream with a higher fat content will have a higher specific heat capacity than cream with a lower fat content.

5. How does the specific heat capacity of cream compare to other substances?

The specific heat capacity of cream is relatively high compared to other substances, meaning it requires more heat energy to raise its temperature. For example, the specific heat capacity of cream is higher than that of water, which is often used as a reference substance for specific heat capacity measurements.

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