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Galena (an ore) is partially oxidized by passing air through it at high temperature. After some time, the passage of air is stopped, but the heating is continued in a closed furnace such that the contents undergo self-reduction. The weight (in kg) of Pb produced per kg of O2 consumed is ……
[Atomic weight in gmol1:O=16,S=32,Pb=207]

Answer
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Hint:Here in this question, Galena(an ore) undergo in self-reduction process which means the cations of the less electropositive metals like Pb,Hg,Sband Cu may be reduced without the use of any additional reducing agent and the gram per moles is the mass of a substance in grams but numerically equal to its nuclear weight. It is also called gram-molecular weight. If we see, take an example like a gram per mole of oxygen is 16g, and Pb is 207 g.

Complete step by step answer:
From our given data and conditions, as we need to calculate the weight of Pb produced per kg of O2 .
In the reaction it is involved in the extraction of Pb from galena.
PbS+O2Pb+SO2,
Therefore, use of 1 kg of O2means 1000g of O2 is used there.
Moles of O2= 100Molecularmassg.
In this, molecular mass of O2=32

Moles of O2=100032g
So, According to stoichiometry,
No of moles of O2= No. of moles of Pb
Which is equal to 10032g
Then, Mass of Pb =No. of moles of Pb × molecular mass of Pb.
Mass of Pb 100032×207g6470g
Further we have to convert 6470 into Kg. where 1 Kg.=1000g.
6470g=64701000kg
Mass of Pb=6.47kg.
Additional information: Here is an interesting information, Galena is the world primary ore of lead. It is a lead sulphide mineral with a chemical composition of Pbs. Galena is also called lead glance, a grey lead sulphide Pbs. It is often mined as a source of silver as well as lead and the molecular weight is also known as the molecular mass. This is almost the same as the atomic weight. So, let us take an example, the atomic weight is equal to the molecular mass of oxygen which is 16g and for Pb(lead) is 207g.


Note:
Galena, also called lead glance, is the natural mineral form of lead(II) sulfide (PbS). It is the most important ore of lead and an important source of silver. Galena is one of the most abundant and widely distributed sulfide minerals.
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