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Physics / Physics: Principles with Applications 6 / Chapter 13 / Problem 14P

Physics: Principles with Applications | 6th Edition | ISBN: 9780321569837 | Authors: Douglas C. Giancoli

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Solved: (II) It is observed that 55.50 mL of water at 20°C

Chapter 13, Problem 14P

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QUESTION:

Problem 14P

(II) 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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QUESTION:

Problem 14P

(II) 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.

ANSWER:

Solution 14P

Step 1 of 5

Here we have to calculate the coefficient of volume expansion of the container and also the material of the container.

Given data,

Initial temperature, ${T}_{i}={20}^{0}C$

Final temperature, ${T}_{f}={60}^{0}C$

Coefficient of volume expansion of water, ${\beta{}}_{water}=210\ \times{}{10}^{-6}{/C}^{0}$

Initial volume of water, ${V}_{o}=55.50\ mL$

Initial volume of glass container, ${V}_{o}=55.50\ mL$

Volume of water lost after increasing temperature, ${V}_{flow}=0.35\ g$

Using $1\ mL=0.9832\ g$

${V}_{flow}=0.35\ g\ \left|{\frac{1\ mL}{0.9832\ g}}\right|$

${V}_{flow}=0.356\ mL$

To find,

(a)Coefficient of volume expansion of container, ${\beta{}}_{glass}=?$

(b) Kind of material container is made of =?

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