Answer to Question #172566 in Molecular Physics | Thermodynamics for Princess

Question

Determine the change in volume of a block of 

cast iron 5.0 cm x 10 cm x 6.0 cm, when the 

temperature changes from 15 0C to 47 0C. The 

coefficient of linear expansion of cast iron is 

0.000010 0C-1

Answer 1

$$\dfrac{\Delta V}{V_0}=\alpha_V\Delta T,$$ $$\Delta V=3\alpha_LV_0\Delta T,$$ $$\Delta V=3\cdot1.0\cdot10^{-5}\ ^{\circ}C^{-1}\cdot5\ cm\cdot10\ cm\cdot6\ cm\cdot32^{\circ}C=0.288\ cm^3.$$