Entropy change in a system with 2 subsystems

[Tosh5457]

Homework Statement

The temperature of Sun's surface is 5700K, and the temperature of Earth's surface is 290K. What's the variation of entropy when 1000J of energy is transferred by radiation from the Sun to the Earth?

Homework Equations

The Attempt at a Solution

Since the temperature of the Earth is approximately the same by receiving 1000J of energy, I multiplied 1/290 by 1000J, but the answer gave me 3.44 J/K, while the correct answer is 3.27 J/K.

 

[anathema]

Hello, thank you for your question.

To calculate the variation of entropy in this scenario, we can use the equation ΔS = Q/T, where ΔS is the change in entropy, Q is the amount of energy transferred, and T is the temperature in Kelvin.

In this case, we have Q = 1000J and T = 290K, so ΔS = 1000J/290K = 3.45 J/K. It appears that you may have made a calculation error, as your result of 3.44 J/K is very close to the correct answer of 3.45 J/K.

I hope this helps clarify the solution for you. Let me know if you have any further questions.