Answer:
.0612 kg
Step-by-step explanation:
I think your spec heat for lead should be 128 j /kg-K
Final lead temp is the same as the water 25 C Note that 1 K = 1 C degree
so lead goes from 45 to 25 C (or difference of 20 K)
Heat given up by the lead =
.5 kg * (20 K) * 128 j/ kg -C = 1 280 j
this heat is GAINED by the water going from 20 to 25 C
x kg * (5 C ) (4186 j/kg-C ) = 1 280 j
x = .0612 kg