Physics: 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 200 aluminum cylinder that you take from your freezer and place in a mug of hot coffee. q)if the cylinder is cooled to -20c, a typical freezer temperature, and then dropped into a large cup of coffee (essentially water, with a mass of 500g ) at 85c, what is the final temperature of the coffee? answer in 2 sig figs and answer

Go to http://www.studymode.com/essays/Seetting-And-Acheiving-Goals-1679947.html they have a whole intire essay answer...

Brewed coffee is often too hot to drink right

Ответ:

cheaterman1616

16.01.2022

Physics

$T_f=57.21\ ^{\circ}C$

Explanation:

Given:

mass of aluminium, $m_a=0.2\ kg$ initial temperature of the aluminium cylinder, $T_{ia}=-20\ ^{\circ}C$ mass of coffee, $m_c=0.5\ kg$ initial temperature of coffee, $T_{ic}=85\ ^{\circ}C$ specific heat of coffee (assuming water), $c_w=1000\ J.kg^{-1}.^{\circ}C^{-1}$ specific heat of aluminium, $c_a=900\ J.kg^{-1}.^{\circ}C^{-1}$

When the coffee and the aluminium cylinder come in contact then heat released by the coffee is equal to the heat gained by the aluminium.

Mathematically:

Q_c=Q_a