JEE Advance - Chemistry (2018 - Paper 2 Offline - No. 3)

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 $${O_2}$$ consumed is ___________.

(Atomic weights in $$g\,mo{l^{ - 1}}:O = 16,S = 32,Pb = 207$$)
Answer
6.47

Explanation

From the direct equation,

$$PbS + \mathop {{O_2}}\limits_{32\,g} \to \mathop {Pb}\limits_{207\,g} + S{O_2}$$

So, 32 g of O2 gives 207 g of Pb

1 g of O2 will give $${{207} \over {32}}$$ g of Pb

1000 g of O2 will give $${{207} \over {32}}$$ $$\times$$ 1000

= 6468.75 g = 6.46875 kg

$$\approx$$ 6.47 kg

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