Answer:
[tex]c=0.1477\ J/g^{\circ} C[/tex]
Explanation:
Given that,
Mass, m = 70 g
The temperature of the wire changes from 58.0°C to 152.0°C.
Heat absorbed, Q = 972 J
We need to find the specific heat of the metal wire. The heat absorbed is given by :
[tex]Q=mc\Delta T\\\\c=\dfrac{Q}{m\Delta T}\\\\c=\dfrac{972\ J}{70\ g \times (152-58)^{\circ} C}\\\\c=0.1477\ J/g^{\circ} C[/tex]
or
[tex]c=0.148\ J/g^{\circ} C[/tex]
So, the correct option is (a).