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Exercise:
Two rooms each a cube .m per side share a cm thick brick wall .wattpermeterperkelvin. Because of a number of W lightbulbs in one room the air is at degreeCelsius while in the other room it is at degreeCelsius. How many lightbulbs are needed to maain the temperature difference across the wall?

Solution:
newqtyeL.m newqtydocm newqtyddon m newqtyL.wattpermeterperkelvin newqtyPW newqtyTwocelsius newqtyTw.K newqtyTkocelsius newqtyTk.K % Geg ell eL d do d lambda L P P sscTw  Two Tw sscTk Tko Tk % GesNumber of lightbulbsN % The heat transferred through the brick wall is: solqtyPhlambda fracsscTw-sscTkd ell^Ln*Twn-Tkn/dn*eLn**W varPhi J A Phf LfracTw-TkdqtyeL^ Ph Hence a number of solqtyNlambdafracsscTw-sscTkd fracell^PPhn/Pn N fracvarPhiP fracPhfP Nf fracPhP NTTTT light bulbs would be sufficient to maain the temperature. N Nf NTT
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Exercise:
Two rooms each a cube .m per side share a cm thick brick wall .wattpermeterperkelvin. Because of a number of W lightbulbs in one room the air is at degreeCelsius while in the other room it is at degreeCelsius. How many lightbulbs are needed to maain the temperature difference across the wall?

Solution:
newqtyeL.m newqtydocm newqtyddon m newqtyL.wattpermeterperkelvin newqtyPW newqtyTwocelsius newqtyTw.K newqtyTkocelsius newqtyTk.K % Geg ell eL d do d lambda L P P sscTw  Two Tw sscTk Tko Tk % GesNumber of lightbulbsN % The heat transferred through the brick wall is: solqtyPhlambda fracsscTw-sscTkd ell^Ln*Twn-Tkn/dn*eLn**W varPhi J A Phf LfracTw-TkdqtyeL^ Ph Hence a number of solqtyNlambdafracsscTw-sscTkd fracell^PPhn/Pn N fracvarPhiP fracPhfP Nf fracPhP NTTTT light bulbs would be sufficient to maain the temperature. N Nf NTT
Contained in these collections:
  1. 2 | 10
  2. 3 | 8
  3. 11 | 13

Attributes & Decorations
Branches
Temperatur & Heat
Tags
conduction, heat, physics, thermodynamics, transfer
Content image
Difficulty
(3, default)
Points
5 (default)
Language
ENG (English)
Type
Calculative / Quantity
Creator uz
Decoration
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Link