1. Thermochemical energy storage a. Imagine a scenario where the university decides to completely stop using fossil fuel

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1. Thermochemical energy storage
a. Imagine a scenario where the university
decides to completely stop using fossil
fuels. Abbott power plant, which
produces energy for the university,
decides to replace fossil fuels with a
calcium oxide (CaO)-based
thermochemical energy storage system
to produce energy. CaO can react with
steam producing heat just as burning
coal and natural gas does. Given the
energy density of CaO is ~ 1.8 MJ/kg,
find the rate of reaction (kg/s) needed
to produce a power output of 100 MW
which is sufficient to supply the entire campus with heat and
electricity. Assume 60% net
efficiency.
b. In another scenario, assume there is a heavy snowstorm
in Urbana-Champaign and the supply of
natural gas, which is the main fuel source for Abbott power plant,
is cut off. It would take ~ 4 days
for the natural gas pipeline to be fixed. How much of CaO would be
needed to keep supplying the
campus with energy during this period. Assume same efficiency of
60%.
c.
Assume that CaO costs ~ $100/ton and has an energy density of
1.8 MJ/kg or ~500 kWh/ton.
i. How many cycles of energy storage and discharge are needed
before the material
cost of CaO can be cheaper than coal and natural gas?
Assume coal and natural gas cost ~ 2 cents/kWh.
ii. If CaO replaces coal as energy source, how much CO2 emission
would be prevented
per ton of CaO for the number of cycles calculated above?
Assume that 1 kg of CO2 is generated for every kWh of energy
produced from coal.
Neglect the cost of storing energy in CaO.