A fluid having a thermal coefficient of volume expansion γ is filled in a cylindrical vessel up to a height h 0 . The coefficient of linear thermal expansion of the material of the vessel is α . If the fluid is heated with the vessel, then find the level of liquid when the temperature increases by Δ θ .

Question

A fluid having a thermal coefficient of volume expansion γ is filled in a cylindrical vessel up to a height h 0 . The coefficient of linear thermal expansion of the material of the vessel is α . If the fluid is heated with the vessel, then find the level of liquid when the temperature increases by Δ θ ., h 0 ( 1 + γΔθ ) ( 1 + 2 αΔθ ), h 0 ( 1 + γΔθ ) ( 1 + 3 αΔθ ), h 0 ( 1 + γΔθ ) ( 1 + αΔθ ), h 0 ( 1 + γΔθ )

MARKS App · Accepted Answer

A base = A 0 1 + βΔ T = A 0 ( 1 + 2 αΔθ ) V fluid = V 0 1 + γΔ T = A 0 h 0 ( 1 + γΔθ ) A h = A 0 1 + 2 αΔθ h = A 0 h 0 ( 1 + γΔθ ) h = h 0 ( 1 + γΔθ ) ( 1 + 2 αΔθ )

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