Q.

A glass vessel is partially filled with mercury and when both are heated together, the volume of the unfilled part of vessel remains constant at all temperature. Find the initial volume (in cm3) of mercury if the empty part measures 34 cm3  Given: αvessel =9×10−6/∘CγHg=18×10−5/∘C

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answer is 6.

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Detailed Solution

V1→ Initial volume of vessel V2→ Initial volume of Hg Given V1−V2=34Let temperature is increased by ∆T, thenV1′−V2′=34→as volume of unfilled part remains same. ……..(i)⇒V1[1+3αΔT]−V2[1+γΔT]=34⇒3V1α=V2γ  ………….(ii)From (i) and (ii), V2=6cm3
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