Question #283135

A 15.00cm long bimetal strip is aluminum on one side and copper on the other. If the two metals are the same length at 20.0◦C, how long will each be at 800.◦C?

1
Expert's answer
2021-12-28T08:44:00-0500

For the strips expanding at increased temperature, we have


lCu=l0(1+αCuΔt)=15.20 cm,lAl=l0(1+αAlΔt)=15.26 cm.l_\text{Cu}=l_0(1+α_\text{Cu}Δt)=15.20\text{ cm},\\ l_\text{Al}=l_0(1+α_\text{Al}Δt)=15.26\text{ cm}.


The linear expansion temperature coefficients for copper is 16.7·10-6 1/°C, for aluminum it is 22·10-6 1/°C. The temperature difference between 800°C and 20°C is 780°C.


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