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A bakelite beacker has volume capacity o...

A bakelite beacker has volume capacity of `500 c c at 30^@C`. When it is partially filled with `V_m` volumne (at `30^@C)` of mercury, it is found that the unfilled volume of the beaker remains constant as temperature is varied. If `gamma_("beaker") = 6 xx 10^(-6).^@C^(-1)` and `gamma_("mercury") = 1.5 xx 10^(-4).^@C^(-1)` , where `gamma` is the coefficient of volume expansion , then `V_(m)` (in cc) is close to __________.

Text Solution

Verified by Experts

The correct Answer is:
20
`Delta v=(V_0-V_m)`
After increasing temperature,
`S`
`Delta V.=(V._0-V._m)`
`DeltaV.=DeltaV`
`V_0-V_m=V_0(1+gamma_b DeltaT)-V_m(1+gamma_mDeltaT)`
`V_0gamma__b=V_m gamma_m`
`V_m =(V_0gamma_b)/(gamma_m)((500)(6xx10^(-6)))/((1.5xx10^(-4))`
=20 cc.
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