Entropy Change of Universe: 6kg Block & Lake

In summary, the question asks to calculate the total entropy change of the universe resulting from a block of mass 6kg and heat capacity of 300 J/K/kg at 150oC being placed in a lake at 0oC. The calculated entropy change of the block is -788 J/K, but the entropy change of the lake cannot be determined without knowing its mass. However, it should be equal and opposite to the entropy change of the block, as the heat transfer from the block into the lake will result in an equal but opposite energy transfer.
  • #1
swain1
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Homework Statement


Calculate the changes in total entropy of the universe as a result of the following processes:
(a) A block of mass 6kg and heat capacity of 300 J/K/kg at 150oC is placed in a lake at 0oC.

Homework Equations


The Attempt at a Solution


I think I have found the entropy change of the block as -788 J/K. I am not sure how to find the entropy change of the lake though as I don't know the mass.
Thanks for any help.
 
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  • #2
The change should be equal but opposite. Heat is leaving the block and going into the water... What leave the block must enter the water...
 
  • #3
yes the energy transfer will be the same but not the entropy.??
 

1. What is entropy change of the universe?

The entropy change of the universe refers to the overall change in the level of disorder or randomness in the universe. It is a measure of the energy that is no longer available to do work.

2. How is the entropy change of the universe calculated?

The entropy change of the universe is calculated using the laws of thermodynamics, which take into account the energy and entropy changes within a system as well as the exchange of energy and matter with its surroundings.

3. How does the 6kg block and lake affect the entropy change of the universe?

The 6kg block and lake system will cause an increase in the entropy of the universe due to the transfer of heat energy from the hotter block to the cooler lake. This transfer of energy results in an increase in the overall disorder of the universe.

4. Can the entropy change of the universe be reversed?

According to the second law of thermodynamics, the entropy of the universe will always increase over time. While individual systems may experience a temporary decrease in entropy, the overall change of the universe will always result in an increase in entropy.

5. How does the entropy change of the universe relate to the concept of energy conservation?

The entropy change of the universe is closely related to the principle of energy conservation. As the universe becomes more disordered, the amount of energy available to do work decreases, leading to a decrease in the overall level of energy in the universe. This is why the second law of thermodynamics is often referred to as the "arrow of time" or the idea that the universe is constantly moving towards a state of maximum disorder.

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