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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 __________.

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