A smith needs to melt 0.0500 kg of gold at 21.0°C. How much heat must be added? (Remember, she has to heat it to the melting point first.) (Unit=J)

Answer:
9704.6 J
Explanation:
Total Thermal Energy
= Energy required to bring gold to melting point + Energy required to change the state of gold from solid to liquid
= mcT + mlf [bolded is energy used to bring gold to melting point, italicised is state change of gold from sold to liquid]
= (0.0500)(126)(1063 - 21) + (0.0500)(6.28 × 10^4)
= 9704.6 J