One Materials Science Question

A 0.5 m rod of a metal elongates 0.70 mm on heating from 20 to 200°C.  Determine the value of the linear coefficient of thermal expansion for this material.

Answer

$\Delta(L)/L0 = \alpha*\Delta(T)$

$L0=0.5 m$

$\Delta(L) =0.7*10^{-3} m$

$\Delta(T) =200-20 =180 deg C$

$\alpha = 7.78*10^{-6} deg^{-1}$