Item 6 Part A Brewed coffee is often too hot to drink right away. You can cool i

Question

Item 6 Part A Brewed coffee is often too hot to drink right away. You can cool it with an ice cube, but this dilutes it. Or you can buy a device that will cool your coffee without dilution - a 190 g aluminum cylinder that you take from your freezer and place in a mug of hot coffee. If the cylinder is cooled to -20°C, a typical freezer temperature, and then dropped into a large cup of coffee (essentially water, with a mass of 500 g) at 85° C, what is the final temperature of the coffee? Express your answer using two significant figures. You may want to review (L pages 380 -381) o C Submit My Answers Give Up Provide Feedback Continue

Explanation / Answer

Let T be the final temperatue

Heat lost by coeffee = heat gained by aluminium

(mct).c =  (mct)a

(500)(4.184)(85 - T) = (190)(0.902)(T - (-20))

-2092T + 177820= 171.38T + 3247.6

2263.38T = 174572.4

T = 77.12 o

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