The specific heat of aluminum is 0.0215 cal/g°C. If a 4.55 g sample of aluminum absorbs 2.55 cal of energy, by how much will the temperature of the sample change?

Respuesta :

Answer:

The change in temperature is [tex]26.06^{\circ} C[/tex].

Explanation:

It is given that,

The specific heat of Aluminium is cal/g°C

Mass of the sample, m = 4.55 g

Heat absorbed, Q = 2.55 cal

We need to find the change in temperature of the sample. The heat absorbed by an object is given by :

[tex]Q=mc\Delta T[/tex]

[tex]\Delta T[/tex] is the change in temperature

So,

[tex]\Delta T=\dfrac{Q}{mc}\\\\\Delta T=\dfrac{2.55\ cal}{4.55\ g\times 0.0215 \ cal/g^{\circ} C}\\\\\Delta T=26.06^{\circ} C[/tex]

So, the change in temperature is [tex]26.06^{\circ} C[/tex].

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