Question

According to the Can Manufacturers Institute, the energy used to make an aluminum can from recycled aluminum is 5% of the energy used to make an aluminum can from virgin ore. In a typical year, 1.7 billion pounds of aluminum cans are recycled.

Part A

How much energy is thermally transferred to get this mass of aluminum from 20 ∘C to its melting point, 660 ∘C?

Answer 1

4.45 * 10¹⁴ J is transferred to get this mass of aluminum from 20°C to its melting point, 660⁰C.

The quantity of heat required to change the temperature of a substance is given by:

Q = mcΔT

Where Q is the heat, m is the mass of the substance, ΔT is the temperature change = final temperature - initial temperature. c is the specific heat capacity

m = 1.7 billion pounds = 77 * 10⁷ kg, ΔT = 660 - 20 = 640°C, c = 903 J/kg•K

Hence:

Q = 77 * 10⁷ kg *  903 J/kg•K * 640°C

Q = 4.45 * 10¹⁴ J

4.45 * 10¹⁴ J is transferred to get this mass of aluminum from 20°C to its melting point, 660⁰C.

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