An overflowing flask?

A glass flask whose volume is 1000 cm^3 at a temperature of 0.500 degree C is completely filled with mercury at the same temperature. When the flask and mercury are warmed together to a temperature of 52.0 degree C, a volume of 8.05 cm^3 of mercury overflows the flask.

If the coefficient of volume expansion of mercury is beta_Hg = 1.80×10−4 /K, compute beta_glass, the coefficient of volume expansion of the glass.

1 Answer

  • ∆V = V(flask)*[β(Hg) - β(glass)]*∆T

    ∆V = 8.05 cm³

    V(flask) = 1000 cm³

    ∆T = 52.0 - 0.500 = 51.500 ºC

    8.05 /(1000*51.500) = 1.80*10^-4 - β(glass)

    β(glass) = 1.80*10^-4 - 1.563*10^-4 = 2.37*10^-5 /ºC

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