Problem 12.51 Enhanced - with Feedback Part A Brewed coffee is often too hot to

Question

Problem 12.51 Enhanced - with Feedback Part A Brewed coffee is often too hot to drink right away 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 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 230 g aluminum cylinder that you take from your freezer and place in a mug of hot coffee C, what is the final temperature of the coffee? Express your answer using two significant figures. You may want to review (m-pages 380-381) i A2ep Submit My Answers Give Up Provide Feedback Continue

Explanation / Answer

here,

mass of alumunium cyclinder , m1 = 230 g = 0.23 kg

initial temprature of cyclinder , T1 = - 20 degree C

temprature of cofee , T2 = 85 degree C

mass of water , m2 = 0.5 kg

let the final temprature be Tf

heat gained by alumunium cyclinder = heat lost by coffee

m1 * Ca * ( Tf - (-20)) = m2 * Cw * ( T2 - Tf)

0.23 * 920 * ( Tf + 20) = 0.5 * 4186 * ( 85 - Tf)

solving for Tf

Tf = 75.4 degree

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