It is observed that 55.50 mL of water at 20°C completely fills a container to the brim. When the container and the water are heated to 60°C, 0.35 g of water is lost. (a) What is the coefficient of volume expansion of the container? (b) What is the most likely material of the container? Density of water at 60°C is 0.98324 g/mL.

Question

Mathematics

Denzel Boyd

21 April, 18:19

It is observed that 55.50 mL of water at 20°C completely fills a container to the brim. When the container and the water are heated to 60°C, 0.35 g of water is lost. (a) What is the coefficient of volume expansion of the container? (b) What is the most likely material of the container? Density of water at 60°C is 0.98324 g/mL.

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Jackson Valentine · Answer 1

Volume of water that spilled out

= (0.35) * (0.98324) mL

= 0.3441 mL

Thus, the original volume

55.50 mL increased to

55.8441 mL

V (t) = Vo [1 + γ (60.0 - 18.7) ]

=> coefficient of volume expansion,

γ = (Vt - Vo) / [Vo * 41.3]

= (0.3441) / [ (55.50) (41.3)

= 1.5012 x10^-4