Answer to Question #87082 in Molecular Physics | Thermodynamics for mmmmmmmmmmmm

Question

The steel bed of a suspension bridge is 200 m long at 20°C. If the
extremes of temperature to which it might be exposed are -30°C
to +40°C, how much will it contract and expand?

Answer 1

The difference in temperatures is equal to ∆T=70°C=70 K.

We can calculate a substantial change of length as

$$ΔL=L-L0=L0(1+\alphaΔT)- L0= L0\alphaΔT (1)$$

where L₀=200 m, α=12×10^-6 K^-1

Using (1) we get: ΔL=0.168 m

Answer:

0.168 m or 17 cm