Heat and Thermal ExpansionHard

Question

A rectangular narrow U-tube has equal arm lengths and base length, each equal to l. The verticalarms are filled with mercury up to l/2 and then one end is sealed. By heating the enclosed gas allthe mercury is expelled. If atmospheric pressure is P0, the density of mercury is r and cross-sectionalarea is ρ, then [Neglect thermal expansion of glass and mercury]
    

Options

A.Work done by the gas against the atmospheric pressure is P0S
B.Work done by the gas against the gravity is Sρgl2
C.Work done by the gas against the atmospheric pressure is P0Sl
D.Word done by the gas against the gravity is Sρgl2

Solution

Total displacement of mercury against atmospheric process =
PEinitial = × 2 + 0 {Assuming zero at ground level}; PEmax

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