A solid body of linear expansion coefficient 2 × 1 0 − 5 ∘ C − 1 floats in a liquid with 20% of its volume out of the liquid at a temperature 20°C. The volumetric expansion coefficient of liquid is 3

Question

A solid body of linear expansion coefficient 2 × 1 0 − 5 ∘ C − 1 floats in a liquid with 20% of its volume out of the liquid at a temperature 20°C. The volumetric expansion coefficient of liquid is 3 times that of the solid body. If the temperature is increased to 70°C, the new fraction of the body's volume out of the liquid will be approximately

TestHub · Accepted Answer

Cubical expansion coefficients: γ s ​ = 3 α = 6 × 1 0 − 5 ∘ C − 1 γ l ​ = 3 γ s ​ = 18 × 1 0 − 5 ∘ C − 1 Δ T = 50 ∘ C New submerged fraction: f ′ = 0.8 1 + 0.003 1 + 0.009 ​ f ′ ≈ 0.8048 Exposed volume percentage: ( 1 − f ′ ) × 100 ≈ 19.52%

Physics - Heat & Thermo Question with Solution | TestHub

Options:

Doubts & Discussion