A 123 g cube of ice at 0◦C is dropped into 1.9 kg of water that was originally at 81◦C.

Question

What is the final temperature of the water after after the ice melts? The latent heat of fusion of water is 3.33 × 105 J/kg .
Answer in units of ◦C

Answer 1

You have collected exactly 2800 aluminum cans for recycling, each with a mass of 13.6 g. How much energy is needed to melt them if their initial temperature is 26.2◦C? Assume the specific heat, the latent heat and the melting point of aluminum are 899 J/kg ·◦ C,
3.97 × 105 J/kg and 660.4 ◦C, respectively. Answer in units of J

Answer 2

Ice:
Q= λm + cm(t-0) = λm + cmt
Water
Q=cm₁(81-t)

λ=3.33•10^5 J/kg .
m=0.123 kg
m₁ = 1.9 kg
c = 4186 J/kg •◦ C

λm + cmt= c m₁(81-t)
Solve for ‚t’