Question

C) In one long stoichiometry problem calculate the kilograms of carbon dioxide produced each day by all the coal power plants in the world, There are 2300 coal power plants in operation. The average plant can make 547 Mw per minute, however they never work at full capacity. The average plan operates at 70% capacity. Coal is mostly elemental carbon (C) that undergoes a synthesis reaction with oxygen gas to make carbon dioxide gas. One metric ton of coal makes 19.88 million BTU and 56.88 BTU will make 1Kw.

Answer 1

C) The reaction is C + O₂ ------> CO₂

_{According to this equation, The number of moles of Coal burnt will produce the same number of moles of CO2}

No.of moles of Coal=mass in grams/ Atomic mass

= 10⁶ /12 [1 metric tonne= 1000kg=1x10⁶ g]

=83,333 moles= number of moles of CO₂ liberated by one plant if its capacity is 100%

Since its capacity of conversion is 70%, the number of moles of CO₂ liberated is,

=83,333x70/100 = 58,333 moles per plant

There are 2300 coal stations, therefore the number of moles of CO₂ liberated on an average = 2300x 58,333=134165900 moles= molesx mol.mass of CO₂

= 134165900x44= 5903299600g=5903299.6kg