Answer : The specific heat of tin is, 0.213 J/g.K
Explanation :
Formula used :
[tex]q=m\times c\times (T_{final}-T_{initial})[/tex]
where,
q = amount of heat lost = -399.4 J
c = specific heat capacity of tin = ?
m = mass of tin = 25.0 g
[tex]T_{final}[/tex] = final temperature = [tex]24.5^oC=273+24.5=297.5K[/tex]
[tex]T_{initial}[/tex] = initial temperature = [tex]99.5^oC=273+99.5=372.5K[/tex]
Now put all the given values in the above formula, we get:
[tex]-399.4J=25.0g\times c\times (297.5-372.5)K[/tex]
[tex]c=0.213J/g.K[/tex]
Therefore, the specific heat of tin is, 0.213 J/g.K