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$\cdot$ A slab of a thermal insulator with a cross-sectional area of 100 $\mathrm{cm}^{2}$ is 3.00 cm thick. Its thermal conductivity is 0.075 $\mathrm{W} /(\mathrm{m} \cdot \mathrm{K}) .$ If the temperature difference between opposite faces is $80 \mathrm{C}^{\circ},$ how much heat flows the slab in 1 day?

172.8 $\mathrm{kJ}$

Physics 101 Mechanics

Chapter 14

Temperature and Heat

Thermal Properties of Matter

The First Law of Thermodynamics

Cornell University

University of Sheffield

McMaster University

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everyone, This is question number 50 from chapter 14. And this problem we're talking about a slob material were given a cross sectional area, a thickness thermal conductivity, and then the We're told that the temperature difference between the two faces is 80 degrees Celsius and were asked to find how much heat flows through in one day. So we're giving a conductivity constant were given thinking this cross sectional area I'm so these should make you think of our conductivity equation. H equals K. A conductive ity area th minus tc over l took a degree in. Okay, so oh, and then time's team and we know that this is just the ticket change in Q over. So really, it should ship between queue and tea so we can use cue instead of h is just a constant Q or just a letter to hold its place. But anyway, we have all these All this information now how much he flows through in one day. So we're given conductivity 0.75 watts per leaders. Kay cross sectional area is 100 centimetres cute. 100 centimeters squared. This concert is in meters though, so we need to change this centimeters two meters. So that's going to be 100 times 10 to the minus. For move the decimal place over leader squared and then our temperature grating and th minus T C is 80 degrees Celsius. We're told that the difference time One day we can change that two seconds because a what is a Jules per second? So we need to change one's data second, which is 86,400 seconds and then divide all that by your length, which were given a thickness, which is the length three centimeters, which is 0.3 meters. And then you plug all that into a calculator and you get 1.73 times 10 to the fifth. Jules flows through this lab every day.

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