Question #288453

A glass container ( k=1.05 W/m-K) with a surface area 0.3m2 is filled with hot water at 100oC and was let to cool in a room with a temperature of 27oC. If the walls of the container are 0.8cm thick, how much heat is transferred from inside the glass to the room per second?


1
Expert's answer
2022-01-18T09:36:46-0500

Given:

k=1.05W/mKk=1.05\:\rm W/m\cdot K

A=0.3m2A=0.3\:\rm m^2

t_1=100\:^\circ\rm C

t_2=27\:^\circ\rm C

Δh=0.008m\Delta h=0.008\:\rm m


The Fourier law of heat conductivity says

dQdt=kΔtΔhA\frac{dQ}{dt}=k\frac{\Delta t}{\Delta h}A

dQdt=1.05100270.0080.3=2874W\frac{dQ}{dt}=1.05*\frac{100-27}{0.008}*0.3=2874\:\rm W


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