1. You brew a mug of coffee, but it is too hot to drink! You measure...

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Physics

1. You brew a mug of coffee, but it is too hot to drink! Youmeasure the temperature of the mug of coffee and find it is 180°F.You could cool it with an ice cube, but that would dilute it.Instead, you take a cold chunk of aluminum that you just happen tohave in the freezer, place it in the mug of coffee, and wait untilthe temperature stops changing.

(a) When you drop this 300 gram chunk of aluminum into the mugof coffee (essentially water, with a mass of 400 grams), the finaltemperature of the coffee is a pleasing, drinkable 150°F. What wasthe initial temperature of the chunk of aluminum when you took itout of the freezer? You may ignore any energy transfer to or fromthe mug, or the surroundings.

(b) If you used 300 grams of copper (at the same initialtemperature you just calculated) instead of aluminum, then repeatedthe experiment as outlined above, which would be true? Explain.

A. The final temperature of the coffee would be greater than150°F.

B. The final temperature of the coffee would be less than150°F.

C. The final temperature would be equal to 150°F.

(c) Refer back to the initial experiment in part (a). Assume themug and coffee start at the same initial temperature of 180 °F. Ifthe energy transfer to or from the mug were considered, which ofthe following would be true? (Still ignore energy transfer to orfrom the surroundings.) Explain.

A. The calculated final temperature would be greater than150°F.

B. The calculated final temperature would be less than150°F.

C. The calculated final temperature would be equal to 150°F.

Answer & Explanation Solved by verified expert
3.8 Ratings (456 Votes)
Using energy conservation when energy transfered to or from the mug is ignored Heat gained by aluminum Heat released by coffee Q1 Q2 maCadT1 mcCcdT2 Let Initial temperature of aluminum chunk T Initial temperature of coffee 180 F 8222 C Final temperature of coffee and Aluminum 150 F 6556 C TC TF 3259 dT1 Tf Ti 6556 T dT2 8222 6556 1666 C ma mass of aluminum cup 300 g 0300 kg mc mass of coffee    See Answer
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