What amount of heat must be imparted to silver with a mass of m = 0.50 kg, located at a temperature
What amount of heat must be imparted to silver with a mass of m = 0.50 kg, located at a temperature of t = 20 degrees, in order to heat it to the melting point and completely melt it? (Specific heat of silver c = 250 J / kg * s, melting temperature of silver tm = 962 degrees, specific heat of fusion of silver 8.7 * 10 (4 degrees) J / kg.
Task data: m (mass of silver to be melted) = 0.5 kg; t (initial temperature) = 20 ºС.
Constants: by condition Cc (specific heat of silver) = 250 J / (kg * ºС); tmelt (melting point) = 962 ºС; λ (specific heat of fusion) = 8.7 * 10 ^ 4 J / kg.
The heat reported by 0.5 kg of silver is determined by the following formula: Q = Cc * m * (tmelt – t) + λ * m.
Calculation: Q = 250 * 0.5 * (962 – 20) + 8.7 * 10 ^ 4 * 0.5 = 161 250 J.
Answer: Silver must be given 161,250 Joules of heat.