Answer: [tex]395.88J/kg^0C[/tex]
Explanation: Heat lost will be equal to the heat gained.
[tex]M_tC_t\Delta T_t=M_wC_w\Delta T_w[/tex]
where [tex]M_t[/tex]= mass of tungsten = 0.345 kg
[tex]C_t[/tex] = specific heat of tungsten
[tex]\Delta T_t[/tex] = Change in temperature of tungsten =[tex](130.0^0C-28.6^0C)=101.4^0C [/tex]
[tex]M_w[/tex]= mass of water = 0.502 kg
[tex]C_t[/tex] = specific heat of water = [tex]4180J/kg^0C[/tex]
[tex]\Delta T_w[/tex] = Change in temperature of water =[tex](28.6^0C-22.0^0C)=6.6^0C [/tex]
[tex]0.345\times C_t\times 101.4=0.502\times 4180\times 6.6[/tex]
[tex]C_t= 395.88J/kg^0C[/tex]