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MBA, Ph.D in Management
Harvard university
Feb-1997 - Aug-2003
Professor
Strayer University
Jan-2007 - Present
A (ordinary) glass bottle( a=11)Â is filled to the brim with mercury. If the temperature of both the bottle and mercury are increased by 25.3oC, what fraction of the mercury will spill out of the bottle?
Â
HINT: Changes in the volume of the mercury and the interior volume of the bottle can both be described byÂ
ΔV=βV0ΔT (Equation 13.2.2), where β is the coefficient of volume expansion ( β=3α for solids). The amount of mercury that spills is equal to the difference between the change in volume of the mercury and that of the interior volume of the bottle. The fraction of mercury that spills out is equal to the volume that spills out divided by the total volume.
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