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Solution manual for exercises - MAELabs UCSD

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Answer. The table shows the data. The embodied energies are larger, by a factor of 3 to 10, than the<br />

enthalpy of oxidation. This is because of the inherent irreversibility of the reduction process, heat and<br />

other energy losses, and the energy required <strong>for</strong> mining transporting and concentrating the ores be<strong>for</strong>e<br />

reduction.<br />

Material Enthalpy of oxidation<br />

Embodied energy<br />

(MJ/kg)<br />

(MJ/kg) from Chapter 12<br />

Cast iron 5.5 17<br />

Aluminum 20.5 220<br />

E6.7 Estimate the energy to mold PET by assuming it to be equal to the energy required to heat PET<br />

from room temperature to its melting temperature, Tm. Compare this with the actual molding energy.<br />

You will find the molding energy, the specific heat and the melting temperature in the data sheet <strong>for</strong><br />

PET in Chapter 12 (use means of the ranges). What conclusions do you draw?<br />

Answer. PET melts at about 238 C, about 200 C above room temperature. Its specific heat is 1445<br />

J/kg.K, so the energy to raise one kg of PET from room temperature (20 o C) to the melting point is<br />

about 0.31 MJ/kg. The extrusion energy is 3.8 MJ/kg, the molding energy 9.6 MJ/kg. Both are more<br />

than ten times greater than the estimate based simply on heat the polymer.<br />

Where does the extra energy go? Part in the relatively low conversion efficiency of fossil-fuel<br />

energy to electric power (about 38%), part in heating the extrusion or molding press, in power<br />

dissipated by the mechanism of the press, and as incidentals – the general energy overhead of the plant.<br />

E6.8. The data sheets of Chapter 12 list eco-indicator values where these are available. As explained<br />

in the text, the eco-indicator value is a normalized, weighted sum involving resource consumption,<br />

emissions and estimates of impact factors. Plot eco-indicator values against embodied energy (a much<br />

simpler measure of impact). Is there a correlation?<br />

Answer. See the chart in the answer to exercise E6.11 (below). It is a CES plot of eco-indicator<br />

values against embodied energy. There is a clear correlation, but with scatter. Is the scatter<br />

significant? Think back to the inherent uncertainty in determining embodied energy (Figure 6.2) and in<br />

the arbitrary nature of the weight factors used to calculate eco-indictors (Figure 3.11 and its<br />

discussion). Given these, you would expect some scatter. We conclude the embodied energy is an<br />

approximate but still useful proxy <strong>for</strong> the eco-indicator.<br />

Eco text: solution <strong>manual</strong> 26 MFA, 08/12/2008

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