# Thermal expansion

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Question

# A Bakelite beaker has volume capacity of 500 cc at 30ºC. When it is partially filled with  ${V}_{\mathrm{m}}$ volume (at 30ºC) of mercury, it is found that the unfilled volume of the beaker remains constant as temperature is varies. If ${\gamma }_{\left(bea\mathrm{ker}\right)}=6×{10}^{-6}º{C}^{-1}$ and  ${\gamma }_{\left(mercury\right)}=1.5×{10}^{-4}º{C}^{-1}$, where $\gamma$ is the coefficient of volume expansion, then ${V}_{m}$  (in cc) is close to ________.

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A glass vessel is partially filled with mercury and when both are heated together, the volume of the unfilled part of vessel remains constant at all temperature. Find the initial volume (in cm3) of mercury if the empty part measures 34 cm3 ${\mathrm{\gamma }}_{\mathrm{Hg}}=18×{10}^{-5}{/}^{\circ }\mathrm{C}]$