We can take the final temperature to be t
Energy gained by water is given by mcθ , where m is the mass of water, c is the specific heat capacity of water (4186) and θ is change in temperature.
Energy given by tin sample is equal to the energy gained by water, therefore:
0.115 ×4186 × (t-10) = 0.225 × 230 × (97.5-t)
9.302(t-10) = 97.5 -t
t = (97.5 + 93.02)/10.302
t = 18.493 degrees Celsius
Therefore, the final temperature is 18.493° C
