The heat needed to raise the temperature of the silver to its melting point is \(3.65 \times 10^6 \ J\).
The given parameters:
- mass of the silver, m = 16.5 kg
- initial temperature of the silver, t₁ = 20 ⁰C
- melting point of silver metal, t₂ = 961.8 ⁰C
- specific heat capacity of silver, C = 235 J/kg⁰C
The heat needed to raise the temperature of the silver to its melting point is calculated as follows;
\(Q = mc \Delta t\\\\Q = 16.5 \times 235 \times (961.8 - 20)\\\\Q = 3.65 \times 10^6 \ J\)
Thus, the heat needed to raise the temperature of the silver to its melting point is \(3.65 \times 10^6 \ J\).
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