Question

calculate the increase in length of an iron pipeline that is 30m long at 20 degree C long when it is warmed to 45degree C

Answer 1

AnswEr :

Given that,

• Initial Temperature = 20°C

• Final Temperature = 45°C

• Original Length = 30 m

Let the extension in the iron pipeline due to change in temperature be e.

Coefficient of Linear Expansion of Iron is 12 × 10^-6

We know that,

$\sf \: e = \alpha L \Delta{T}$

Putting the values,we get :

$\sf \: e = 12 \times {10}^{ - 6} \times 30 \times ( - 25) \\ \\ \implies \: \sf \: e = - 12 \times 75 \times {10}^{ - 5} \\ \\ \implies \: \sf \: e = - 900 \times {10}^{ - 5} \\ \\ \implies \: \boxed{ \boxed{ \sf e = - 9 \times {10}^{ - 3} \: m}}$

The extension in the iron pipeline is - 000.9 .