JEE Advanced levelSingle correct optionDifficulty 3 of 3pb195
10.0 g of ceCaCO3 is heated strongly (ceCaCO3−>CaO+CO2). All the ceCO2 is passed over excess red hot carbon (ceCO2+C−>2CO) and the CO formed reduces excess ceFe2O3 (ceFe2O3+3CO−>2Fe+3CO2). Using C = 12, O = 16, Ca = 40, Fe = 56 and 100 % yield in every step (no recycling of the new ceCO2), the mass of iron formed is
A7.47 g
B16.80 g
C3.73 g
D11.20 g
Answer: A
Molar mass of CaCOX3 = 100 g/mol, so COX2 = 0.10 mol. Each COX2 gives 2 CO, so CO = 0.20 mol. Three CO give 2 Fe, so Fe = 0.20 x 2/3 = 0.1333 mol. Mass = 0.1333 x 56 = 7.47 g.