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?

1 Answer
Oct 19, 2016

Answer:

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

Explanation:

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))#