Question

A steel pipe 36.0 m long, installed when the temperature was 15 degrees celcius, is used to transport superheated steam at a temperature of 155 degrees celcius. steel's coeeficient of linear expansion is 1.2*10⁻⁵ k⁻¹. the pipe is allowed to expand freely when the steam is transported. the increase in the length of the pipe, in mm is what?

Answer 1

The increase in the length of the steel pipe is 6.048 mm.

Step-by-step explanation:

To calculate the increase in the length of the steel pipe, we can use the equation for linear thermal expansion: ΔL = αLΔT, where ΔL is the change in length, α is the coefficient of linear expansion, L is the original length of the pipe, and ΔT is the change in temperature.

Given that the coefficient of linear expansion for steel is 1.2 × 10^-5 K^-1, the original length of the pipe is 36.0 m, and the change in temperature is 155 - 15 = 140 °C, we can substitute these values into the equation to calculate the change in length:

ΔL = (1.2 × 10^-5 K^-1)(36.0 m)(140 °C)

ΔL = 6.048 mm

Therefore, the increase in the length of the steel pipe is 6.048 mm.