A sealed glass bulb weighs 120.00 g in air at 20°C, 45.00 g immersed in a liquid at 20°C and 46.00 g immersed at 6 0 ∘ C . α glass = 9 × 1 0 − 6 per °C. If the mean coefficient of real expansion of

Question

A sealed glass bulb weighs 120.00 g in air at 20°C, 45.00 g immersed in a liquid at 20°C and 46.00 g immersed at 6 0 ∘ C . α glass ​ = 9 × 1 0 − 6 per °C. If the mean coefficient of real expansion of the liquid between 20°C and 60°C is P × 1 0 − 4 per °C, then find P.

TestHub · Accepted Answer

Buoyancy: 75.00 g at 20°C and 74.00 g at 60°C. Volume factor of bulb $= 1 + 3 (9 \times 1 0^{- 6}) (40) = 1.00108$ . Density ratio $= \frac{74}{75 ( 1.00108 )} = 0.985602. γ = \frac{\frac{1}{0.985602} - 1}{40} = 3.652 \times 1 0^{- 4}$ per $^{\circ} C$ .

So $P = 3.652$ .

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