Answer:
457859J
Explanation:
The parameters given in this question are;
Melting point = 600 °C + 273 = 873 (Converting to kelvin)
Latent heat of fusion = 4.00 × 105 J/kg
Specific heat of capacity (C) = 900J/kg ∙ K
Mass = 500g /1000 = 0.5kg (Converting to Kg)
Initial temperature = 27 + 273 = 300K (Converting to kelvin)
How much heat required to melt it?
To solve this problem, you'll need the formula that relates heat energy to mass and heat of fusion, and heat capacity.
This question is two parts.
We have to calculate how much heat would be required to raise its temperature from 27 to 660 (melting point) and then heat required to melt it.
Heat required to raise its temperature (H1)
H1 = mCθ
θ = T2 - T1 = 873 - 300 = 573K
H1 = 0.5 * 900 * 573
H1 = 257850J
Heat required to melt (H2)
H2 = mL
H2 = 0.5 * 4.00 × 10^5
H2 = 200000J
Total amount of heat required = H1 + H2 = 257859 + 200000
= 457859J