Answer:
![\text{ 0.76 J/g.\degree C}](https://img.qammunity.org/2023/formulas/chemistry/college/q531pg5rjcoahsa715h4ppi6ofy7w5ppk6.png)
Step-by-step explanation:
Here, we want to calculate the specific heat capacity of the metal
Mathematically:
![Q\text{ = mc}\Delta T](https://img.qammunity.org/2023/formulas/chemistry/college/a14yd39js4p3fhwy2x5143cgns4giv8bhk.png)
where :
Q is the amount of heat absorbed given as 1870 J
m is the mass of the metal given as 54.51g
c is the specific heat capacity that we want to calculate
delta T is the temperature change given as 45.2 °C
Rewriting the formula above in terms of c, we have it that:
![c\text{ = }(Q)/(m\Delta T)](https://img.qammunity.org/2023/formulas/chemistry/college/rj8ckt52v16wnn00a8amsnhojx49t14kan.png)
Substituting the values, we have it that:
![c\text{ = }(1870)/(54.51*45.2)\text{ = 0.76 J/g.\degree C}](https://img.qammunity.org/2023/formulas/chemistry/college/r8kmaapu8h0vcxfy17e3eroyvey2ckzbbv.png)