Heat gained by water= 25.1 J
Explanation:
As per the law of conservation of energy
Heat gained by water= Heat lost by the nail
Heat lost by nail= Q= m c ΔT
m= mass of nail= 1.5 g
c= specific heat capacity of nail=0.449 j/ g °C
ΔT= change in temperature=57.8-95= -37.2° C
Q=1.5 (0.449)(-37.2)
Q=-25.1 J
This is negative because the heat is lost by the nail. Same amount of heat is gained by the water.
so heat gained by water=25.1 J