The following table indicates the specific heats of a few common materials. Arme

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?

1 kg of solid iron at 1000oC

1 kg of water at 55oC

10 kg of solid copper at 500oC

5 kg of solid aluminium at -100oC

a.

1 kg of solid iron at 1000oC

b.

1 kg of water at 55oC

c.

10 kg of solid copper at 500oC

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 1.88

Explanation / 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.

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

10 kg of copper has heat capacity = (10 kg)(390 J/kg-0C) = 3900 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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