Question

A glass flask whose volume is 1000.42 cm° at 0.0° C is completely filled with mercury at this temperature. When flask and mercury are warmed to 55.6° C, 8.68 cm3 of mercury overflow. Part A For related problem-solving tips and strategies, you may want to view a Video Tutor Solution of Expansion of mercury. Compute the coefficient of volume expansion of the glass. (The coefficient of volume expansion of the mercury is 18 x 10 K) Express your answer in inverse kelvin. ΑΣφ ? В- К1 Submit Request Answer

Answer 1

here,

initial volume of glass , V1 = 1000.42 cm^3

the initial volume of mercury , V2 = 1000.42 cm^3

when change in temperature , dT = 55.6 degree

the coefficient of volume expansion for mercury , beta2 = 18 * 10^-5 K^-1

let the coefficient of volume expansion for glass be beta1

the overflow volume , dV = dV2 - dV1

dV = V2 * beta2 * dT - V1 * beta1 * dT

8.68 = 1000.42 * 55.6 * ( 18 * 10^-5 - beta1)

solving for beta1

beta1 = 2.4 * 10^-5

the coefficient of volume expansion for glass is 2.4 * 10^-5 K^-1