Answer:
Q = 2.95*10^5 kJ
Explanation:
In order to calculate the energy required to melt the cooper, you first calculate the energy required to reach the boiling temperature. You use the following formula:
[tex]Q_1=mc(T_b-T_1)[/tex] (1)
m: mass of cooper = 540 kg
c: specific heat of cooper = 390 J/kg°C
Tb: boiling temperature of cooper = 1080°C
T1: initial temperature of cooper = 20°C
You replace the values of the parameters in the equation (1):
[tex]Q_1=(540kg)(390\frac{J}{kg.\°C})(1080\°C-20\°C)=2.23*10^8J[/tex]
Next, you calculate the energy required to melt the cooper by using the following formula:
[tex]Q_2=mL_f[/tex] (2)
Lf: melting constant of cooper = 134000J/kg
[tex]Q_2=(540kg)(134000\frac{J}{kg})=7.24*10^7J[/tex]
Finally, the total amount of energy required to melt the cooper from a temperature of 20°C is the sum of Q1 and Q2:
[tex]Q=Q_1+Q_2=2.23*10^8J+7.24*10^7J=2.95*10^8J=2.95*10^5kJ[/tex]
The total energy required is 2.95*10^5 kJ
The total energy required to melt the copper is equal to [tex]2.95 \times 10^5[/tex] Kilojoules.
Given the following data:
Scientifically, we know that:
To calculate the total energy required to melt the copper:
First of all, we would determine the quantity of heat energy required to reach the boiling temperature of copper.
Mathematically, quantity of heat is given by the formula;
[tex]Q_b = mc\theta\\\\Q_b = 540 \times 390 \times (1080-20)\\\\Q_b = 210600 \times 1060\\\\Q_b = 2.23 \times 10^8 \;Joules[/tex]
Next, we would determine the quantity of heat energy required to melt copper.
[tex]Q_b = 540 \times 134000\\\\Q_b = 7.2 \times 10^6 \; Joules[/tex]
For total energy:
[tex]Q_T = Q_b + Q_m\\\\Q_T = 2.23 \times 10^8 + 7.24 \times 10^7\\\\Q_T = 2.95\times 10^8\\\\Q_T = 2.95\times 10^5\; Kilojoules[/tex]
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