Answer: The specific heat of the unknown metal is [tex]0.897J/g^0C[/tex]
Explanation:
The quantity of heat required to raise the temperature of a substance by one degree Celsius is called the specific heat capacity.
[tex]Q=m\times c\times \Delta T[/tex]
Q = Heat absorbed=[tex]5040[/tex] Joules
m= mass of substance = 86.8 g
c = specific heat capacity = ?
Initial temperature of the water = [tex]T_i[/tex]
Final temperature of the water = [tex]T_f[/tex]
Change in temperature ,[tex]\Delta T=T_f-T_i=(64.7)^0C[/tex]
Putting in the values, we get:
[tex]5040=86.8\times c\times 64.7^0C[/tex]
[tex]c=0.897J/g^0C[/tex]
The specific heat of the unknown metal is [tex]0.897J/g^0C[/tex]