Can the total change in entropy be negative value?

AI Thread Summary
The discussion centers on the query regarding whether the total change in entropy can be a negative value. The user has calculated a change in entropy of -6.70 J/K and seeks verification of this result. They have attached files containing their calculations but are limited in the number of attachments. The user expresses a need for additional answers and assistance in confirming their findings. The conversation highlights the complexities involved in understanding entropy changes in thermodynamic processes.
Krishna0703
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actually i have worked out the question..but i doubt about my answer..can anyone help me to verify this question please..kindly please refer to the attached files whereby i attached questions as well as my workings also...i really need help please..thanks in advance ..if possible may i have the other answers also please...

well as final answer for the change in entropy i got it to be -6.70 J/K..(i could not attach more files because the max possible file to be attached is 3.)
 

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oki i manage to attach the alst one here...
 

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Thread 'Help with Time-Independent Perturbation Theory "Good" States Proof'

Thread 'Help with Time-Independent Perturbation Theory "Good" States Proof'

(Disclaimer: this is not a HW question. I am self-studying, and this felt like the type of question I've seen in this forum. If there is somewhere better for me to share this doubt, please let me know and I'll transfer it right away.) I am currently reviewing Chapter 7 of Introduction to QM by Griffiths. I have been stuck for an hour or so trying to understand the last paragraph of this proof (pls check the attached file). It claims that we can express Ψ_{γ}(0) as a linear combination of...
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