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CBSE Class 12-science Answered

a glass bulb of volume 250 cc is completely filled with mercury at 20 degree celcius . The temperature of the system is raised to 100 degree celcius . if the coefficient of linear expansion of glass is 9x 10^-6 /c and coefficient of absolute expansion of mercury is 1.8x10^-4 /c the volume of mercury that overflows is nearly
Asked by Atulcaald | 01 Jun, 2018, 07:20: PM
answered-by-expert Expert Answer
Expansion of mercury = Vm×γm×ΔT = 250×1.8×10-4×80 ....................(1)
where Vm, γm and ΔT are original volume of mercury, coefficient of absolute expansion of mercury and rise in temperature.
 
Expansion of glass container = Vg×γg×ΔT = 250×3×9×10-6×80 ...................(2)
where Vg, γg and ΔT are original volume of container, coefficient of volume expansion of glass and rise in temperature.
 
Spill over volume ΔV of mercury will be obtained by subtracting (2) from (1)
 
ΔV = 250×80×{ 1.8 - 0.27 } ×10-4 = 3.06 cc
Answered by Thiyagarajan K | 11 Jun, 2018, 11:19: AM
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