Question

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 290 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?

Name: 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 290 g aluminum c 22404
Uploaded: 2022-11-18T12:31:09-08:00
Duration: 4 min 41 s
Channel: Sri K
Description: 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 290 g aluminum c 22404

          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
290 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?

Added by Richard P.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Sri K

11/18/2022

Step 1

This is based on the principle of conservation of energy. The heat lost by the coffee can be calculated using the formula Q = mcΔT, where m is the mass of the coffee, c is the specific heat capacity of water (4.18 J/g°C), and ΔT is the change in temperature. Show more…

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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 290 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?