Answer:
[tex]c=0.544\ J/g^{\circ} C[/tex]
Explanation:
Given that,
Heat required, Q = 50 J
Mass of unknown metal, m = 8.2 g
The temperature rises from 13.0°C to 24.2 °C.
We need to find the specific heat for the metal. We know that the heat required to raise the temperature is given by :
[tex]Q=mc\Delta T[/tex]
c is specific heat of the metal
[tex]c=\dfrac{Q}{m\Delta T}\\\\c=\dfrac{50\ J}{8.2\ g\times (24.2-12)^{\circ} C}\\\\c=0.544\ J/g^{\circ} C[/tex]
So, the specific heat of the metal is [tex]0.544\ J/g^{\circ} C[/tex]
