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Note: I do not have any citations if the information in that final Youtube clip is legit xD [with exception of the part which deals with entropy]

This answer may contain grammatical/factual mistakes as I started studying thermodynamics only from the last month. If you do note any, don't hesitate to point out the mistakes in my understanding.

Note: I do not have any citations if the information in that final Youtube clip is legit xD [with exception of the part which deals with entropy]

Note: I do not have any citations if the information in that final Youtube clip is legit xD [with exception of the part which deals with entropy]

$$ \Delta S_{\text{surr}} = \frac{dq_{\text{surr},\text{rev}} }{T_{\text{surr}} } = \frac{-q_{\text{sys,rev}} }{T_{\text{surr}} } $$

$$ dS \geq \frac{q_{\text{sys,rev}} }{ T_{\text{surr}} }$$

$$ \Delta S_{\text{surr}} = \frac{dq_{\text{surr},\text{rev}} }{T_{\text{surr}} } = \frac{-dq_{\text{sys,rev}} }{T_{\text{surr}} } $$

$$ dS \geq \frac{dq_{\text{sys,rev}} }{ T_{\text{surr}} }$$