A number of companies currently lease solar panels to homeowners to offset the home’s energy use. The total energy production of a certain residential solar system in suburban Maryland was7581.62 kWh over the last calendar year. What mass of carbon dioxide did this solar systemkeep out of the atmosphere during that time, assuming that the energy consumed by this home would otherwise have been supplied solely by coal-burning power plants (note that this isn’t agreat assumption, as Maryland also has a nuclear power plant, solar and wind farms, and Montgomery County incinerates waste to generate electricity)? Keep in mind that power plants are inefficient, and are able to convert on average 33% of the heat generated by the combustion of coal into electricity. Assume that coal can be approximated as C(s) (again, not a great assumption, but sufficient for this problem). Use the following data to find the heat of combustion of coal: 2 C(s) + O2(g)  2 CO(g) H = -222 kJ CO(g) + H2(g) + O2(g)  CO2(g) + H2O(g) H = -525 kJ 2 H2(g) + O2(g)  2 H2O(g) H = -484 kJ

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A number of companies currently lease solar panels to homeowners to offset the home’s energy use. The total energy production of a certain residential solar system in suburban Maryland was7581.62 kWh over the last calendar year. What mass of carbon dioxide did this solar systemkeep out of the atmosphere during that time, assuming that the energy consumed by this home would otherwise have been supplied solely by coal-burning power plants (note that this isn’t agreat assumption, as Maryland also has a nuclear power plant, solar and wind farms, and Montgomery County incinerates waste to generate electricity)? Keep in mind that power plants are inefficient, and are able to convert on average 33% of the heat generated by the combustion of coal into electricity. Assume that coal can be approximated as C(s) (again, not a great assumption, but sufficient for this problem). Use the following data to find the heat of combustion of coal:
2 C(s) + O2(g)  2 CO(g) H = -222 kJ
CO(g) + H2(g) + O2(g)  CO2(g) + H2O(g) H = -525 kJ
2 H2(g) + O2(g)  2 H2O(g) H = -484 kJ

Expert Solution
Step 1

The given thermochemical equations are as follows:

(1)                 2 C(s) + O2(g)  2 CO(g)                          ΔH = -222 kJ(2) CO(g) + H2(g) + O2(g)  CO2(g) + H2O(g)          ΔH = -525 kJ       (3)               2 H2(g) + O2(g)  2 H2O(g)                         ΔH = -484 kJ

The aim reaction for which heat of combustion is to be determined is shown below.

2 C(s) + 2 O2(g)2 CO2(g)

Step 2

For getting the the aim reaction, multiply equation (2) by 2 and subtract equation (3) from the modified equation (2), we get,

2CO(g) +2 H2(g) +2 O2(g)2 CO2(g) +2 H2O(g)         ΔH = 2×-525 kJ                                        2 H2O(g) 2 H2(g) + O2(g)                ΔH = +484 kJ                    2CO(g) + O2(g)2 CO2(g)                              ΔH =-1050+484                                                                                                          =-566kJ

Now, add the equation (1) and the equation obtained above, we get,

 2 C(s) + O2(g)  2 CO(g)       ΔH = -222 kJ2CO(g) + O2(g)2 CO2(g)      ΔH =-566kJ2 C(s) + 2O2(g) 2 CO2(g)      ΔH =-788 kJ

Therefore, the energy produced by 2.00 mol CO2 is 788 kJ.

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