Concept explainers
(a) To determine:
The coefficient of volume expansion of the container
Answer to Problem 15P
Solution:
The coefficient of volume expansion of the container is
Explanation of Solution
Given:
Initial volume of water,
Initial volume of the container,
Initial temperature,
Final temperature,
Mass of water lost from the container on being heated,
Density of water at 60°C,
Formula used:
, where Vi is the initial volume and β is the coefficient of volume expansion
Calculation:
The relation between change in volume of a substance (ΔV)and change in temperature (ΔT)is given by,
--- (i),
Where, Vi is the initial volume and β is the coefficient of volume expansion
In this case, the volume of water lost, --- (ii),
Where, ΔVwis the change in volume of water and ΔVc is the change in volume of the container
Since volume = , where m is mass and ρ is density
The volume of water lost, --- (iii)
From equation (i),
---(iv)
---(v)
From equations (ii), (iii), (iv)and (v)
Substituting all the known values,
or
or
(b) To determine:
The most likely material of the container
Answer to Problem 15P
Solution:
The most likely material of the container is copper.
Explanation of Solution
Based on the standard values of coefficient of volume expansion for solids, the most likely material of the container is copper.
Chapter 13 Solutions
Physics: Principles with Applications
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