Question 582: Thermodynamics & KTG

Question

A hole is drilled in a metal sheet. At $$\mathrm{27^\circ 
 C}$$, the diameter of hole is 5 cm. When the sheet is heated to $$\mathrm{177^\circ 
 C}$$, the change in the diameter of hole is $$\mathrm{d	imes10^{-3}}$$ cm. The value of d will be __________ if coefficient of linear expansion of the metal is $$1.6	imes10^{-5}/^\circ$$C.

Accepted Answer

$\Delta D=D \alpha \Delta t$
$$
\begin{aligned}
& =5 	imes 1.6 	imes 10^{-5}(177-27) \\
& =0.012 \mathrm{~cm} \\
& =12 	imes 10^{-3} \mathrm{~cm} \\
& 	ext { so, } d=12
\end{aligned}
$$

Thermodynamics & KTG

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