Iron is prepared from one of its ore hematite Fe_(2)O_(3) by reaction with carbon as follows: Fe_(2)O_(3)(s)+C(s)rarrFe(s)+CO_(2)(g)uparrow Above reaction occur in an open furnance. If carbon was taken in limiting quality, as a result finally 100kg of crude iron (a mixture of Fe_(2)O_(3) and Fe) was obtained. And crude iron has 56% pure Fe. Then what mass of Fe_(2)O was taken initially

Iron is prepared from one of its ore hematite Fe_(2)O_(3) by reaction

1.	Iron is prepared from one of its ore hematite Fe_(2)O_(3) by reaction with carbon as follows: Fe_(2)O_(3)(s)+C(s)rarrFe(s)+CO_(2)(g)uparrow Above reaction occur in an open furnance. If carbon was taken in limiting quality, as a result finally 100kg of crude iron (a mixture of Fe_(2)O_(3) and Fe) was obtained. And crude iron has 56% pure Fe. Then what mass of Fe_(2)O was taken initially
Answer» 80kg 124kg 44kg 100kg Solution :`2Fe_(2)O_(3)(s)+3C(s)rarr4Fe(s)+3CO_(2)` after reaction 44kg 56 KG `n_(Fe(2)O_(3))"used"=n_(Fe)=("formed")/(2)=(56)/(56)xx(10^(3))/(2)` `w_(Fe_(2)O_(3))"used"=(160)/(2)kg=80kg` `w_(Fe_(2)O_(3))` initially taken =80+44=124kg