Answer:
136 KJ
Explanation:
We'll begin by calculating the heat required to melt the ice. This can be obtained as follow:
Mass (M) = 250 g
Heat of fusion (Hբ) = 334 J/gºC
Heat (Q₁) required to melt the ice =?
Q₁ = MHբ
Q₁ = 250 × 334
Q₁ = 83500 J
Next, we shall determine the heat required to change the temperature. This can be obtained as follow:
Mass (M) = 250 g
Initial temperature (T₁) = 0 °C
Final temperature (T₂) = 50 °C
Specific heat capacity (C) = 4.184 J/gºC
Heat (Q₂) required to change the temperature =?
Q₂ = MC(T₂ – T₁)
Q₂ = 250 × 4.184 (50 – 0)
Q₂ = 1046 × 50
Q₂ = 52300 J
Next, we shall determine the total heat required.
Heat (Q₁) required to melt the ice = 83500 J
Heat (Q₂) required to change the temperature = 52300 J
Total heat (Qₜ) required =?
Qₜ = Q₁ + Q₂
Qₜ = 83500 + 52300
Qₜ = 135800 J
Finally, we shall convert 135800 J to KJ. This can be obtained as follow:
1000 J = 1 KJ
Therefore,
135800 J = 135800 J × 1 KJ / 1000 J
135800 J ≈ 136 KJ
Thus, the total heat required is 136 KJ.
