Answer:
The specific heat of the metal is
.
Step-by-step explanation:
We have,
Mass of sample is 22.44 g
It absorbs 180.8 J of heat.
The temperature of the sample increases from 21.1 °C to 45.0 °C
Initial temperature is 21.1 °C and final is 45.0 °C.
Heat absorbed in terms of specific heat is given by :
![Q=mc\Delta T\\\\c=(Q)/(m\Delta T)\\\\c=(180.8)/(22.44* (45-21.1))\\\\c=0.337\ J/g^(\circ) C](https://img.qammunity.org/2021/formulas/chemistry/middle-school/s1pkk1utavbedtxdqz0ioyb6l439pwzmqf.png)
So, the specific heat of the metal is
.