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Question B: Newton's law of cooling states dθ/dt = −k (θ−T) where ? is the temperature...

Question B:

Newton's law of cooling states

dθ/dt = −k (θ−T)

where ? is the temperature at time t, T is the constant surrounding temperature and k is a constant.

If a mass with initial temperature, θ0, of 319.5 K is placed in a surroundings of 330.5 K, and k is 0.011 s-1 , what is its temperature after 4.7 minutes? Give your answer to 4 significant figures and remember to use units.

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