First, she emailed Dr. Crane: “Your chapter on entropy changed how I think. I’m sorry I downloaded it without paying. I will buy the book when I have the money.”

Maya smiled. She still didn’t have the $180. But she had something better: a clear answer to the question.

She printed the email and tucked it into her thermodynamics binder. Right behind the entropy chapter.

She scrolled down. A small banner ad read: “Support the site! Buy us a coffee!”

The short answer is:

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