The tbllorving three hot samples have the saine temperature. The same amount of
ID: 1469483 • Letter: T
Question
The tbllorving three hot samples have the saine temperature. The same amount of heat
is removed lrom each sample. Which one experiences the smallest drop in
temperature, and rvhich one experiences the largest drop? [10 pointsl
Sample A. 4.0 kg of water lc :4186 J/(kg ' C')l
Sample 8.2.0 kg of oil lc :2700 J/(kg ' C')l
Sample C. 9.0 kg of dirt [c:1050 J/(kg' C")]
(a) C smallest and A largest
(b) A smallest and B largest
(c) A smallest and C largest
(d) C smallest and B largest
(e) B srnallest and A largest
Explanation / Answer
If an amount of heat -Q is removed from a body of mass m and specific heat Cp, the change in temperature T is given by
T = Q / (m.Cp)
So, in the three cases provided, temperature changes will be as follows.
A: T = Q / (4.0 * 4186) = H / 16744
B: T = Q / (2.0 * 2700) = H / 5400
C: T = Q / (9.0 * 1050) = H / 9450
So the temperature change is smallest for A and largest for B
Therefore, Option B is the correct answer.
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