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Exercise:
A copper and an aluminium rod of the same length and cross-sectional area are attached to . The free of the copper rod is placed in a furnace maained at a constant temperature of degreeCelsius. The free of the aluminium rod is placed in an ice bath held at a constant temperature of .degreeCelsius. Calculate the temperature at the po where the two rods are joined.

Solution:
newqtyTwcelsius newqtyTwK.K newqtyTk.celsius newqtyTkK.K WaermeAluminium WaermeKupfer % The heat flow through the two rods must be the same i.e. solqtyTZfracssclambdaCosscthetaw + ssclambdaAlsscthetakssclambdaAl + ssclambdaColKun*Twn+lAln*Tkn/lKun+lAlncelsius al sscPCo sscPAl ssclambdaCofracsscthetaw-sscthetaZd A ssclambdaAlfracsscthetaZ-sscthetakd A ssclambdaCosscthetaw - ssclambdaCosscthetaZ ssclambdaAlsscthetaZ -ssclambdaAlsscthetak ssclambdaAlsscthetaZ + ssclambdaCosscthetaZ ssclambdaCosscthetaw + ssclambdaAlsscthetak qtyssclambdaAl + ssclambdaCosscthetaZ ssclambdaCosscthetaw + ssclambdaAlsscthetak sscthetaZ TZf fraclKuTw+lAlTklKu+lAl TZTTTT TZTTT
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Exercise:
A copper and an aluminium rod of the same length and cross-sectional area are attached to . The free of the copper rod is placed in a furnace maained at a constant temperature of degreeCelsius. The free of the aluminium rod is placed in an ice bath held at a constant temperature of .degreeCelsius. Calculate the temperature at the po where the two rods are joined.

Solution:
newqtyTwcelsius newqtyTwK.K newqtyTk.celsius newqtyTkK.K WaermeAluminium WaermeKupfer % The heat flow through the two rods must be the same i.e. solqtyTZfracssclambdaCosscthetaw + ssclambdaAlsscthetakssclambdaAl + ssclambdaColKun*Twn+lAln*Tkn/lKun+lAlncelsius al sscPCo sscPAl ssclambdaCofracsscthetaw-sscthetaZd A ssclambdaAlfracsscthetaZ-sscthetakd A ssclambdaCosscthetaw - ssclambdaCosscthetaZ ssclambdaAlsscthetaZ -ssclambdaAlsscthetak ssclambdaAlsscthetaZ + ssclambdaCosscthetaZ ssclambdaCosscthetaw + ssclambdaAlsscthetak qtyssclambdaAl + ssclambdaCosscthetaZ ssclambdaCosscthetaw + ssclambdaAlsscthetak sscthetaZ TZf fraclKuTw+lAlTklKu+lAl TZTTTT TZTTT
Contained in these collections:
  1. 8 | 10
  2. 6 | 8
  3. 10 | 13

Attributes & Decorations
Branches
Temperatur & Heat
Tags
conduction, conductivity, heat, heatloss, physics, thermal, thermodynamics
Content image
Difficulty
(4, default)
Points
5 (default)
Language
GER (Deutsch)
Type
Calculative / Quantity
Creator uz
Decoration
File
Link