A steel pipe 36.0 m long, installed when the temperature was $15 ^ { \circ } \mathrm { C } ,$ is used to transport superheated steam at a temperature of $155 ^ { \circ } \mathrm { C }$ Steel's coefficient of Iinear expansion is $1.2 \times 10 ^ { - 5 } K ^{- 1}$
The pipe is allowed to expand freely when the steam is transported. What is the increase in the length of the pipe when it is used with the superheated steam?
A) 60 mm
B) 67 mm
C) 57 mm
D) 54 mm
E) 64 mm

Question

A steel pipe  36.0 m long, installed when the temperature was $15 ^ { \circ } \mathrm { C } ,$ is used to transport superheated steam at a temperature of $155 ^ { \circ } \mathrm { C }$ Steel's coefficient of Iinear expansion is $1.2 \times 10 ^ { - 5 } K ^{- 1}$
The pipe is allowed to expand freely when the steam is transported. What is the increase in the length of the pipe when it is used with the superheated steam?
A)  60 mm
B)  67 mm
C)  57 mm
D)  54 mm
E)  64 mm

Quizplus · Accepted Answer

The change in length is given by:$$\Delta L = \alpha L_i \Delta T$$where:* $\alpha$ is the coefficient of linear expansion* $L_i$ is the initial length* $\Delta T$ is the change in temperaturePlugging in the given values, we get:$$\Delta L = (1.2 \times 10^{-5} K^{-1})(36.0 m)(155 ^ { \circ } C - 15 ^ { \circ } C) = 0.060 m = 60 mm$$Therefore, the increase in the length of the pipe is 60 mm.

A Steel Pipe 36 15∘C,15 ^ { \circ } \mathrm { C } ,15∘C,

A Steel Pipe 36 $15 ^ { \circ } \mathrm { C } ,$