Question

A glass flask whose volume is 1000.00 cm^3 at 0.0∘C is completely filled with mercury at this temperature. When flask ...


A glass flask whose volume is 1000.00 cm^3 at 0.0∘C is completely filled with mercury at this temperature. When flask and mercury are warmed to 55.1 ∘C, 8.71 cm^3 of mercury overflow

Compute the coefficient of volume expansion of the glass. (The coefficient of volume expansion of the mercury is 18×10^−5 K^−1.)

Answer

Given-V0=1000 cm3T1=00CT2=55.10CThe coefficient of volume expansion of the mercury βHg = 18×10-5 K-1Over flow of  Hg=8.71 cm3

Solution-δVHg-δVflack=8.71 cm3---------(1)We haveδVHg=V0×βHg×δT=1000×18×10-5×(55.1-0)0C =9.918 cm3δVflask=δVHg-8.71=9.918 -8.71=1.208 cm3Finally to calculate βflaskWe haveβflask=δVflaskV0×δT=1.2081000×(55.1-0)0C=2.192×10-5(C0)-1 As we can see the flow of Hg happened as a result of a great volume thermal coefficient β than the flask.

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