
Concept explainers
Ratios of masses of copper, aluminium and water.

Answer to Problem 12P
Solution:
Ratios of masses of copper, aluminium and water is
Explanation of Solution
Given:
of water is 4186 J/kgK
of aluminium is 921 J/kgK
of copper is 376 J/kgK
of water
of aluminium
of copper
Formula Used:
The formula used is the relation between temperature and specific heat from thermodynamics
Where,
is the heat transferred
is the specific heat
is the mass
is the final temperature
is the initial temperature
Calculation:
Since all the three materials rise to the same temperature for the same amount of heat, the quantities and are the same.
One can use the heat capacity formula:
for each material:
For water:
For aluminium:
For copper:
The ratio of water to aluminium is given by dividing the first two equations above.
Substituting the given values,
In the same fashion one can find for water and copper.
Substituting the given values,
If is 1 then is 4.54 and is 11.13.
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Physics: Principles with Applications
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