Answer: Final temperature is 34.15°C.
Explanation: When two objects have different temperature, they will exchange heat energy until there is no more net energy transfer between them. At that state, the objects are in <u>thermal</u> <u>equilibrium</u>.
So, when in equilibrium, the total heat flow must be zero, i.e.:

In our case, there will be a change in state of ice into water, so total heat flow will be:

where
m₁ is mass of ice
m₂ is mass of water
c₁ is specific heat of ice
c₂ is specific heat of water
is final temperature
is initial temperature
L is latent heat fusion
Temperature is in Kelvin so the transformation from Celsius to Kelvin:
For ice:
T = -15 + 273 = 258K
For water:
T = 48 + 273 = 321K
Solving:



307.15K
In Celsius:
34.15°C
Final temperature of the system when in equilibrium is 34.15°C