A small metal bar, whose initial temp was 20C, is dropped into a large container of boiling water. How long will it take the bar to reach 90C if it is known that its temp increases 2 degrees in 1 second? How long will it take it to reach 98C?

With this problem, I'm not sure where to even begin, other than with the equation

dT/dt = k(T-Tm)

What is the initial temperature, 20C at T(0)? How does 2 degrees in 1 second play into it? How do I find k? The book gives no examples, so I'm not sure how to even start.

Thanks in advance,

--Hank

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