Answer:
0.0702J/g°C the specific heat capacity of the metal.
Explanation:m
![Q=m* c* \Delta T=m* c* (T_(2)-T_(1))](https://img.qammunity.org/2020/formulas/chemistry/high-school/uc7xl477aqeicp5loq0n4655vyy7l1h41b.png)
where,
Q = heat absorbed by metal = 186.75 J
= Mass of metal= 19 g
= Initial temperature of metal =
![35^oC](https://img.qammunity.org/2020/formulas/chemistry/high-school/32v1jil4wq94o8gwgniug4e561uyhvnltb.png)
=Final temperature of metal =
![175^oC](https://img.qammunity.org/2020/formulas/chemistry/high-school/3f9q9krzapv6qki4jetseg3jdf231b169x.png)
= specific heat of metal= ?
![186.75 J=19 g* c* (175^oC-35^oC)](https://img.qammunity.org/2020/formulas/chemistry/high-school/gzw59dwi0m9y4jnmtqupyvd6uce5baz02b.png)
![c=(186.75 J)/(19 g* (175^oC-35^oC))](https://img.qammunity.org/2020/formulas/chemistry/high-school/7qi8v1na1ymsqn52anfrydt3cyd8k5ueni.png)
![c=0.0702J/g^oC](https://img.qammunity.org/2020/formulas/chemistry/high-school/n2rbsuxubjzyrkp0ich28slukkoh46zxkg.png)
0.0702J/g°C the specific heat capacity of the metal.