The following table indicates the specific heats of a few common materials. Arme
ID: 1622953 • Letter: T
Question
The following table indicates the specific heats of a few common materials.
Armed with this knowledge which of the following objects has the largest heat capacity?
10 kg of solid copper at 500oC
1 kg of solid iron at 1000oC
1 kg of water at 55oC
5 kg of solid aluminium at -100oC
a.10 kg of solid copper at 500oC
b.1 kg of solid iron at 1000oC
c.1 kg of water at 55oC
d.5 kg of solid aluminium at -100oC
Substance Water (pure, liquid) Air (dry) Aluminum Copper Ice Iron Steam Water vapor (70°F) Btu/lb-F or kcal/kg-C 1.00 0.24 0.22 0.093 0.50 0.115 0.48 0.45 4.19 1.01 0.92 0.39 2.09 0.48 2.01 1.88Explanation / Answer
"ms" is the heat capacity of a substance, where m is the mass of the body and s is the specific heat capacity of the body.
So, 10 kg of copper has heat capacity = (10 kg)(390 J/kg-0C) = 3900 J/0C
1 kg of solid iron has heat capacity = (1 kg)(480 J/kg-0C) = 480 J/0C
1 kg of water has heat capacity = (1 kg)(4190 J/kg-0C) = 4190 J/0C
5 kg of solid aluminum has heat capacity = (5 kg)(920 J/kg-0C) = 4600 J/0C
So, 5 kg of solid aluminum has largest heat capacity.
So, the correct option is d.
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