A glass flask has a volume of 500 mL at a temperature of 20° C. The flask contains 492 mL of mercury at an equilibrium temperature of 20°C. The temperature is raised until the mercury reaches the 500 mL reference mark. At what temperature does this occur? The coefficients of volume expansion of mercury and glass are 18 * 10-5 K-1 (mercury) and 2.0 * 10-5 K-1 (glass).

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Chemistry

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17 October, 14:16

A glass flask has a volume of 500 mL at a temperature of 20° C. The flask contains 492 mL of mercury at an equilibrium temperature of 20°C. The temperature is raised until the mercury reaches the 500 mL reference mark. At what temperature does this occur? The coefficients of volume expansion of mercury and glass are 18 * 10-5 K-1 (mercury) and 2.0 * 10-5 K-1 (glass).

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Rodrigo Smith · Answer 1

101.63° C

Explanation:

Volume expansivity γa = γr - γ g = 18 * 10⁻⁵ - 2.0 * 10⁻⁵ = 16 * 10⁻⁵ / K

v₂ - v₁ / v₁θ = 16 * 10⁻⁵ / K

(500 - 492) mL / (492 * 16 * 10⁻⁵) = θ

θ = 101.63° C