A Bakelite beaker has volume capacity of $$500$$ cc at $$30$$ºC. When it is partially filled with Vm volume (at$$ $$30$$º$$C) of mercury, it is found that the unfilled volume of the beaker remains constant as temperature is varies. If γ$$beaker=6$$×$$10$$−$$6$$ºC−$$1$$ and γ$$mercury=1.5$$×$$10$$−$$4$$ºC−$$1$$, where γ is the coefficient of volume expansion, then Vm (in$$ $$cc) is close to $$________$$.

Question

A Bakelite beaker has volume capacity of $$500$$ cc at $$30$$ºC. When it is partially filled with  Vm volume (at$$ $$30$$º$$C) of mercury, it is found that the unfilled volume of the beaker remains constant as temperature is varies. If γ$$beaker=6$$×$$10$$−$$6$$ºC−$$1$$ and  γ$$mercury=1.5$$×$$10$$−$$4$$ºC−$$1$$, where γ is the coefficient of volume expansion, then Vm  (in$$ $$cc) is close to $$________$$.

Infinity Learn · Accepted Answer

Δ$$Vbeaker=$$ΔVmercury⇒γbeaker Vbeaker $$=$$γmercuryVmercury⇒$$6$$×$$10-6500=1.5$$×$$10-4Vm$$⇒$$Vm=20$$ cc

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