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18 May, 09:01

A mercury thermometer has a glass bulb of interior volume 0.100 cm3 at 10°c. the glass capillary 10) tube above the bulb has an inner cross-sectional area of 0.012 mm2. the coefficient of volume expansion of mercury is 1.8 * 10-4 k-1. if the expansion of the glass is negligible, how much will the mercury rise in the capillary tube when the temperature rises from 5°c to 35°c if the bulb was full at 5°c?

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  1. 18 May, 12:07
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    Initial volume of mercury is

    V = 0.1 cm³

    The temperature rise is 35 - 5 = 30 ⁰C = 30 ⁰K.

    Because the coefficient of volume expansion is 1.8x10⁻⁴ 1/K, the change in volume of the mercury is

    ΔV = (1.8x10⁻⁴ 1/K) * (30 ⁰K) (0.1 cm³) = 5.4x10⁻⁴ cm³

    The cross sectional area of the tube is

    A = 0.012 mm² = (0.012x10⁻² cm²).

    Therefore the rise of mercury in the tube is

    h = ΔV/A

    = (5.4x10⁻⁴ cm³) / (0.012x10⁻² cm²)

    = 4.5 cm

    Answer: 4.5 cm
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