Question

A brass cube of side 10cm is heated through 30C.If the linear expansivity of brass is 2.0*10^-5K^-1 what is the increase in its volume

Answer 1

Given:

$a_0=10\;\rm cm$

$\Delta T=30\:\rm K$

$\alpha=2.0*10^{-5}\: \rm K^{-1}$

The thermal volume expansion is described by an equation

$$\Delta V=V_0(3\alpha)\Delta T\\$$ $$=\rm (10\: cm)^3*(3*2.0*10^{-5}\:K^{-1})*30\: K=1.8\: cm^3$$