We can use the formula for heat transfer to find the final temperature of the tin:
Q = mcΔT
where Q is the heat transferred, m is the mass of the tin, c is the specific heat of tin, and ΔT is the change in temperature.
We want to solve for ΔT, which we can rearrange as:
ΔT = Q / (mc)
Plugging in the values we know:
m = 163.79 g
c = 0.226 g/J oC
Q = 2432.0 J
ΔT = 2432.0 J / (163.79 g * 0.226 g/J oC)
ΔT = 6.44 oC
Therefore, the final temperature of the tin will be:
Final temperature = Initial temperature + ΔT
Final temperature = 27.4 oC + 6.44 oC
Final temperature = 33.84 oC
So the final temperature of the tin will be 33.84 oC.