A 2-m long pipe at 27#"^o#C is heated until it is 2.00024 m at 77#"^o#C. What is the coefficient of linear expansion of the pipe?

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Answer 1 · 2016-10-19T17:28:05

#sf(alpha=2.4xx10^(-6)color(white)(x)"degC"^(-1))#

The coefficient of linear expansion is the fractional increase in length for a rise in temperature of 1 degree (deg C or Kelvin).

This means that if the length was doubled with a rise of 1 degree then the coefficient would be 2.

For most materials the numbers are much smaller.

hyperphysics.phy-astr.gsu.edu

#:.##sf(alpha=(DeltaL)/(L_(0)xxDeltaT))#

#sf(DeltaT=77-27=50color(white)(x)"degC")#

#:.##sf(alpha=(0.00024)/(2xx50)=2.4xx10^(-6)color(white)(x)"degC"^(-1))#