Answer:
![395.88J/kg^0C](https://img.qammunity.org/2020/formulas/physics/high-school/cdv5lw26v11g94ygn3sf0sioddk8fvuh2x.png)
Explanation: Heat lost will be equal to the heat gained.
![M_tC_t\Delta T_t=M_wC_w\Delta T_w](https://img.qammunity.org/2020/formulas/physics/high-school/hnaj6i3mzvg9wqy28d3htfab7ujtwiw7uc.png)
where
= mass of tungsten = 0.345 kg
= specific heat of tungsten
= Change in temperature of tungsten =
![(130.0^0C-28.6^0C)=101.4^0C](https://img.qammunity.org/2020/formulas/physics/high-school/4g210us6gvd925803d765sadzmfgl93fkk.png)
= mass of water = 0.502 kg
= specific heat of water =
![4180J/kg^0C](https://img.qammunity.org/2020/formulas/physics/high-school/tpv3e28o9y3ht6kdavj9fy3dvguedop8m1.png)
= Change in temperature of water =
![(28.6^0C-22.0^0C)=6.6^0C](https://img.qammunity.org/2020/formulas/physics/high-school/1zrh3p4yju1zgu2evvuk65abqmkwq5mwg9.png)
![0.345* C_t* 101.4=0.502* 4180* 6.6](https://img.qammunity.org/2020/formulas/physics/high-school/jn9trkbvicv4pd00t4w47rt7ak0yt4015r.png)
![C_t= 395.88J/kg^0C](https://img.qammunity.org/2020/formulas/physics/high-school/2axegof9m6d7gxmxsf58xmpfj1ngk6b6wg.png)