Q = m*C*dT
m = mass
C = specific heat capacity
dT = Temperature change
Q = heat evolved
Heat lost by metal is equal to the sum of heat taken up by water and vessel. Since water is taken in the vessel so
the initial and final temperatures would be same for vessel and water...
Q = 94.7 *0.237 *(22.63 - 348.25) = 7308.18 Joules = 7.3 KJ
Heat lost by silver = 7.3 KJ
Heat absorbed by water = 143.6*4.18*(22.63 - 13.97) = 5.2 KJ