C) The copper pipe 2m long at 20°C is heated uniformly to 300°C. Calculate the length of the pipe after heating given that the coefficient of linear expansion for the pipe material is 17 X 10^-6/°C.?

1 Answer
Jul 9, 2018

The length is #=2.0095m#

Explanation:

The length of the pipe is given by the equation

#L=L_0(1+alphaDeltaT)#

The coefficient of linear expansion of copper is

#alpha=17*10^-6 ""^@C^-1#

The original length is #L_0=2m#

The initial tempertaure is #T_0=20^@C#

The final tempertaure is #T=300^@C#

The variation of temperature is

#DeltaT=T-T_0=300-20=280^@C#

The final length is

#L=2(1+0.000017*280)=2.0095m#