Answer : The specific heat of tin is, 0.213 J/g.K
Explanation :
Formula used :
![q=m* c* (T_(final)-T_(initial))](https://img.qammunity.org/2020/formulas/chemistry/high-school/4fv1d45nbamst4oje1k1uw8yj4gxrxeonj.png)
where,
q = amount of heat lost = -399.4 J
c = specific heat capacity of tin = ?
m = mass of tin = 25.0 g
= final temperature =
![24.5^oC=273+24.5=297.5K](https://img.qammunity.org/2020/formulas/chemistry/college/m34sd5v9u6zjmx2gfyu2jxro4ob9e5i728.png)
= initial temperature =
![99.5^oC=273+99.5=372.5K](https://img.qammunity.org/2020/formulas/chemistry/college/515yiuavx1um8fy6r5c089fbz5htd53xj9.png)
Now put all the given values in the above formula, we get:
![-399.4J=25.0g* c* (297.5-372.5)K](https://img.qammunity.org/2020/formulas/chemistry/college/b59j0rcu3gpfn44cr8csr561wmlxxiysmc.png)
![c=0.213J/g.K](https://img.qammunity.org/2020/formulas/chemistry/college/o1prnf3hmf6z4g9bjkzf1br9d0m8pfkvwp.png)
Therefore, the specific heat of tin is, 0.213 J/g.K