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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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