hold a 50 g sphere of copper in one hand and a 25 g sphere of aluminum in the other hand. If both absorb energy at the same rate, which will come to your body temperature first and why? The specific heat capacities are 0.4 J/(g ⋅ ) for copper and 0.9 J/(g ⋅ ) for aluminum.

Respuesta :

Answer:Copper

Explanation:

Given

mass of copper sphere [tex]m_{cu}=50 gm[/tex]

mass of Aluminum sphere [tex]m_{Al}=25 gm[/tex]

Specific heat of copper [tex]c_{cu}=0.4 J/g-^{\circ}C[/tex]

Specific heat of Aluminium [tex]c_{Al}=0.9 J/g-^{\circ}C[/tex]

Heat require to reach body temperature

suppose temperature difference is [tex]\Delta T[/tex]

[tex]Q_{cu}=m_{cu}\cdot c_{cu}\cdot \Delta T[/tex]

[tex]Q_{cu}=50\cdot 0.4\cdot \Delta T=20\Delta T[/tex]

[tex]Q_{Al}=25\cdot 0.9\cdot \Delta T=22.5\Delta T[/tex]

So Copper sphere will come to body temperature first because it has less specific heat .

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