Question

The volume of a glass bottle is 500.00 ml at 18 ◦C and the longitudinal coefficient of expansion of the glass are 8.0*10−6
1 / ◦C. Benzene has a density of 0.880 g / cm3 at 20 ◦C and its volume expansion coefficient is 1.2 * 10−3
1 / ◦C. How much benzene mass (with 4 values) is contained in the above-mentioned glass bottle at 28 ◦C?

(Answer 435.9 g)

Answer 1

For the glass bottle:

Given that:

Initial volume, V_o = 500.00 ml

Initial temperature = 18^oC

Final temperature = 28^oC

Change in temperature, ΔT = 10^oC

Volume expansion coefficient, γ = 3α

= 3 x (8 x 10^-6 /^oC)

= 24 x 10^-6 /^oC

Hence, Change in volume of the glass bottle is:

Therefore, Final volume of the bottle will be:

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For Benzene

Given that:

Initial volume, V_o = 500.00 ml

Initial temperature = 20^oC

Final temperature = 28^oC

Change in temperature, ΔT = 8^oC

Volume expansion coefficient, γ = 1.2 x 10^-3 /^oC

Hence, Change in volume of the benzene

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This excess volume of benzene will be overflow from bottle.

Hence, remaining volume of benzene in the bottle = (500.12 ml) - (4.8 ml)

= 495.32 ml

Density of benzene = 0.880 g/cm³ = 0.880 g/ml

Therefore, Mass of benzene in the bottle at 28^oC will be:

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