A mercury-in-glass thermometer has stem internal diameter 0.08 cm and holds 68 g of mercury (relative density 13.6). The thread lengthens by 6.0 cm from 0°C to 4 0 ∘ C . α glass = 9.0 × 1 0 − 6 per

Question

A mercury-in-glass thermometer has stem internal diameter 0.08 cm and holds 68 g of mercury (relative density 13.6). The thread lengthens by 6.0 cm from 0°C to 4 0 ∘ C . α glass ​ = 9.0 × 1 0 − 6 per °C. If the cubical expansion coefficient of mercury is P × 1 0 − 4 per °C, then find P.

TestHub · Accepted Answer

Volume of mercury = 5.00 cm 3 . Thread volume = π ( 0.04 ) 2 ( 6 ) = 0.03016 cm 3 . Apparent coefficient = 5 ( 40 ) 0.03016 ​ = 1.5080 × 1 0 − 4 . Add glass: + 3 ( 9 × 1 0 − 6 ) gives 1.778 × 1 0 − 4 per ∘ C . So P = 1.778 .

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