As 7710 Kg Copper Bar Is Put into a Smelter for for Melting.The

question 51

Multiple Choice

As 771.0 kg copper bar is put into a smelter for melting.The initial temperature of the copper is 300.0 K.How much heat must the smelter produce to completely melt the copper bar? (The specific heat for copper is 386 J/kg · K,the heat of fusion for copper is 205 kJ/kg,and its melting point is 1357 K. )

• A)4.73 × 10⁵ kJ
• B)3.15 × 10¹¹ kJ
• C)3.15 × 10⁸ kJ
• D)5.62 × 10⁵ kJ

---

Definitions:

\(10,000(1.07)^{4t}\)

An exponential growth equation, where \(10,000\) is the initial quantity and \(1.07\) is the growth factor applied every period \(t\), scaled by a factor of 4.

\(10,000(1.09)^{3t}\)

An exponential function, often used in finance to calculate compounded interest or investment growth over time.

Three Decimal Places

Referring to a numerical precision that includes three digits to the right of the decimal point.

\(50e^{-0.1x}\)

A mathematical expression representing exponential decay, where \(e\) is the base of the natural logarithm.