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· The voule of a glass vessel is 1000 cc at 20 °C.What voulme of mercury should be poured into it at this temperature so that the volumeof the remaining space does not change with temperature? Coefficients of cubical expansion of mercury and glass are 1.8x10^-4/°C and 9x10^-6/°C respectively.



·         The voule of a glass vessel is 1000 cc at 20



  • °C.What voulme of mercury should be poured into it at this temperature so that the volumeof the remaining space does not change with temperature? Coefficients of cubical expansion of mercury and glass are 1.8x10^-4/°C and 9x10^-6/°C respectively.



Grade:

1 Answers

Askiitians Expert Soumyajit IIT-Kharagpur
28 Points
11 years ago

Dear Cathy,

Ans:- Let the vol of the vessel is V and that of the mercury is xV where x is a fractio whose value we have to determine.

Now if the expansion of both of them are same then there will be no change in the apparent volume of the empty portion.

let the temp diff is t . So, using the same condition we get,

ΔV(glass)=ΔV(mercury)

or V×9×10^-6×t=(xV)×1.8×10^-4

x=1/20

Hence the vol of murcury should be taken=1000×1/20=50cc(ans)

 

 

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Regards,

Askiitians Experts
Soumyajit Das IIT Kharagpur

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