Final answer:
The final temperature of the ice sample is 0°C.
Step-by-step explanation:
To find the final temperature, we can use the equation:
Q = mcΔT
Where Q is the thermal energy added to the ice, m is the mass of the ice, c is the specific heat capacity of ice, and ΔT is the change in temperature.
In this case, the thermal energy added to the ice is 4584000 J and the mass of the ice is 10.9 kg. The specific heat capacity of ice is 2090 J/kg°C. We can rearrange the equation to solve for ΔT:
ΔT = Q / (mc)
Plugging in the values, we get:
ΔT = 4584000 J / (10.9 kg * 2090 J/kg°C)
Calculating the value, we find that ΔT is approximately 21.9°C. Since the ice was initially at -21.9°C, we can find the final temperature by adding the change in temperature to the initial temperature:
Final temperature = -21.9°C + 21.9°C = 0°C
Therefore, the final temperature of the sample is 0°C.