A glass flask of volume 1 litre is fully filled with mercury at 0,^oC . Both flask and mercury are n

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10-2.Transmission of Heat

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A glass flask of volume $1$ litre is fully filled with mercury at $0\,^oC$. Both the flask and mercury are now heated to $100\,^oC$. If the coefficient of volume expansion of mercury is $1.82\times10^{-4}/^oC$, volume coefficient of linear expansion of glass is $10\times10^{-6}/^oC$, the amount of mercury which is spilted out is ............ $\mathrm{ml}$

A

$15.2$

B

$17.2$

C

$19.2$

D

$21.2$

Solution

$\Delta \mathrm{V}=\mathrm{V}_{0}\left(\gamma_{\mathrm{m}}-\gamma_{\mathrm{g}}\right) \Delta \mathrm{T}$

$=1\left[1.82 \times 10^{-4}-3 \times\left(10 \times 10^{-6}\right)\right] 100$

$\left.=1\left[1.82 \times 10^{-4}-0.3 \times 10^{-4}\right)\right] 100$

$=15.2 \mathrm{\,ml}$

Standard 11

Physics

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