The final temperature is -138 °C.
Step-by-step explanation:
Using the equation of specific heat
![Q = m*c* del T](https://img.qammunity.org/2021/formulas/chemistry/middle-school/jjftyj8iq9gh6at5sz6mqkphx8cjc6ut9r.png)
We can easily find the final temperature of a 73.174 g of copper sample. As we know that specific heat is the amount of energy required to raise the temperature of the object to 1°C.
The specific heat of copper is known as 0.387 J/g°C and the initial temperature is said as 102 °C . The mass is given as 73.174 g. The heat released is 6800 J.
Since the heat is released the Q value will be negative.
![-6800=0.387*73.174*(T_(final)-102)](https://img.qammunity.org/2021/formulas/chemistry/middle-school/afbf283g4tfthqzu3z0l0qjjuckcm1zc88.png)
![T_(final)-102=(-6800)/(0.387*73.174) =-240](https://img.qammunity.org/2021/formulas/chemistry/middle-school/2y17rqu9m0z7oyy8n6sm4nipv62bp8h2ax.png)
![T_(final) = -240+102=-138](https://img.qammunity.org/2021/formulas/chemistry/middle-school/y1dhpyoxhtk6us6t87qmt87f7edlchyagq.png)
Thus, the final temperature is -138 °C.