Entropy of the universe

PIn summary, the entropy change of the Universe when 100 J of heat are taken from reservoir H at 900 K and added to reservoir C at 300 K is 2/9.
  • #1
gboff21
50
0

Homework Statement


Two large reservoirs, H and C, are available: if H is at 900 K and C is at 300 K, what is the
entropy change of the Universe if 100 J of heat are taken from H and added to C?


Homework Equations


ΔS=∫dQ/T

ΔS_universe = ΔS_surroundings + ΔS_system

The Attempt at a Solution



so it's just (-100/900)+(100/300) = 9/2 right? Just checking!
 
Last edited:
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  • #2
gboff21 said:

Homework Statement


Two large reservoirs, H and C, are available: if H is at 900 K and C is at 300 K, what is the
entropy change of the Universe if 100 J of heat are taken from H and added to C?


Homework Equations


ΔS=∫dQ/T

ΔS_universe = ΔS_surroundings + ΔS_system

The Attempt at a Solution



so it's just (-100/900)+(100/200)
I think that's the right approach. But isn't C at 300 K (not 200)?
= 9/2 right? Just checking!
I think you might have inverted something.
 
  • #3
Sorry that 200 has been corrected to 300
 
  • #4
gboff21 said:
Sorry that 200 has been corrected to 300

Okay, so we have...

so it's just (-100/900)+(100/300)

Okay, that looks correct. :approve:

= 9/2 right?
Wait, what?

Try that simplification one more time. :wink:
 
  • #5
Sorry it's 2/9
 

1. What is entropy of the universe?

Entropy of the universe is a measure of the disorder or randomness of a system. It is a thermodynamic quantity that describes the amount of energy that is no longer available for work within a closed system.

2. How does entropy of the universe change?

The entropy of the universe tends to increase over time, as energy is converted from more ordered forms to less ordered forms. This process is known as the Second Law of Thermodynamics.

3. What is the relationship between entropy and chaos?

Entropy and chaos are often used interchangeably, but they have different meanings. Entropy refers to the disorder or randomness of a system, while chaos refers to the unpredictability and complexity of a system.

4. Can entropy of the universe be reversed?

According to the Second Law of Thermodynamics, the entropy of the universe cannot be reversed. However, localized decreases in entropy can occur, such as in the formation of living organisms, but the overall trend is towards increasing entropy.

5. How does the entropy of the universe relate to the Big Bang theory?

The Big Bang theory states that the universe began as a highly ordered and dense state, and has been expanding and increasing in entropy ever since. This is supported by various observations, such as the cosmic microwave background radiation, which is a remnant of the highly ordered state of the early universe.

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