g The Trans-Alaskan pipeline is 1,300 km long, reaching from Prudhoe Bay to the port of Valdez, and is subject to temperatures ranging from -71°C to +35°C. How much does the steel pipeline expand due to the difference in temperature?

ΔL = 1.653 km

Explanation:

The linear expansion of any object due to change in temperature is given by the following formula:

ΔL = αLΔT

where,

ΔL = Change in length or expansion of steel pipe line = ?

α = coefficient of linear expansion of steel = 12 x 10⁻⁶ /°C

L = Original Length of the steel pipe = 1300 km

ΔT = Change in temperature = 35°C - (- 71°C) = 35°C + 71°C = 106°C

Therefore,

ΔL = (12 x 10⁻⁶ /°C)(1300 km)(106°C)

ΔL = 1.653 km

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