Calculate Heat Flow Rate Across a Wall: 100 W Lightbulbs

AI Thread Summary
The discussion revolves around calculating the number of 100 W light bulbs needed to maintain a temperature difference across a 12 cm thick brick wall between two rooms. The formula used is Q/t = kA(t1-t2)/l, where the user initially calculated a heat flow rate of 1718.36 W. After dividing by 100 W per bulb, the result was approximately 17.18, leading to confusion about rounding up to the nearest integer. The consensus is that the calculations appear correct, but the user should ensure the thermal conductivity value (k) is accurate for their scenario.
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Homework Statement



Two rooms, each a cube 3.8 m on a side, share a 12 cm thick brick wall. Because of a number of 100 W light-bulbs in one room, the air is at 27°C, while in the other room it is at 10°C. How many of the 100 W light-bulbs are needed to maintain the temperature difference across the wall? (Round your answer up to the nearest integer.)

Homework Equations



Q/t=kA(t1-t2)/l

The Attempt at a Solution



This looks so easy and I attempt to solve it and I get it wrong.
I used
Q/t=kA(t1-t2)/l
=(0.84J/s*m*C)(14.44m2)(27C-17C) / (0.12m)
=1718.36 then divide by 100 and it equals 17.1836=17
Do you have any ideas as to what I'm not comprehending because I'm sure this has to be the correct number of bulbs.
 
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Welcome to PF :smile:

The instructions say to round the answer up. Otherwise things look fine (assuming k is correct).
 
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