Answer:
1.638 km
Explanation:
[tex]\alpha[/tex] = Length expansion coefficient of iron = [tex]12\times 10^{-6}\ /^{\circ}C[/tex]
[tex]\Delta T[/tex] = Change in temperature = (34-(-71))
L = Initial length = 1300 km
Change in length is given by
[tex]\Delta L=L\alpha\Delta T\\\Rightarrow \Delta L=1300\times 12\times 10^{-6}\times (34-(-71))\\\Rightarrow \Delta L=1.638\ km[/tex]
The pipeline can expand 1.638 km
To compensate for this expansion gaps in the joining segments of the pipeline can be left.
