Answer:
[tex]c=0.133\ J/g^{\circ}C[/tex]
Explanation:
Given that,
Heat required, Q = 512 J
Mass of the substance, m = 255 g
The change in temperature, [tex]\Delta T=15^{\circ} C[/tex]
Let c be the specific heat of the substance. We know that the heat required to raise the temperature is given by :
[tex]Q=mc\Delta T[/tex]
Where
c is the specific heat of a substance
So,
[tex]c=\dfrac{Q}{m\Delta T}\\\\=\dfrac{512}{255\times 15}\\\\c=0.133\ J/g^{\circ}C[/tex]
So, the specific heat of the substance is equal to [tex]0.133\ J/g^{\circ}C[/tex].