What is change in volume of an iron sphere of volume $500 \mathrm{~cm}^3$, when it is heated from $0^{\circ} \mathrm{C}$ to 100 $\left(\alpha_{ ext {Iron }}=12 imes 10^{-6 /{ }^{\circ}} \mathrm{C} ight)$ ?

Question

What is change in volume of an iron sphere of volume $500 \mathrm{~cm}^3$, when it is heated from $0^{\circ} \mathrm{C}$ to 100 $\left(\alpha_{	ext {Iron }}=12 	imes 10^{-6 /{ }^{\circ}} \mathrm{C}ight)$ ?

Aicharya · Accepted Answer

$\begin{aligned} & \frac{	ext { Change in Vol. }}{	ext { Original Vol. }}=	ext { Coe. of vol. expansion } 	imes 	ext { temp change } \ & \Rightarrow \Delta V=V 	imes\left(3 \alpha_{	ext {Iron }}ight) 	imes(\Delta T) \ & \Rightarrow \Delta V=500 \mathrm{~cm}^3 	imes\left[3 	imes\left(12 	imes 10^{-6 /{ }^{\circ}} \mathrm{C}ight)ight] 	imes\left(100^{\circ} \mathrm{C}ight) \ & \Delta V=500 	imes 3.6 	imes 10^{-3} \mathrm{~cm}^3=1.8 \mathrm{~cm}^3\end{aligned}$

What is change in volume of an iron sphere of volume $500 \mathrm{~cm}^3$, when it is heated from $0^{\circ}…

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