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Question: 1L of \(C{O_2}\) is passed red hot coke. The volume becomes \(1.4L\) . The composition of the produc...

1L of CO2C{O_2} is passed red hot coke. The volume becomes 1.4L1.4L . The composition of the product(s) is:
(A) 0.6LCO0.6LCO
(B) 0.8LCO20.8LC{O_2}
(C) 0.6LCO20.6LC{O_2} and 0.8LCO0.8LCO
(D) 0.8LCO20.8LC{O_2} and 0.6LCO0.6LCO

Explanation

Solution

When gas CO2C{O_2} passes through red hot coke, the reduction occurs and CO2C{O_2} CO2+C=2COC{O_2} + C = 2CO gets reduce to COCO .However the total volume of the gases increases. Since it is already COCO in the lowest oxidation form, It does not react with charcoal.

Complete step by step answer:
When air is passed over red-hot coke, carbon monoxide gas is formed.
Here, CO2C{O_2} gets reduced COCO when treated with red hot coke, this is an exothermic reaction.
Chemical equation representing the reaction is: - CO2+C=2COC{O_2} + C = 2CO .
From the above equation, we can say that 1mole1mole of CO2C{O_2} produces 2mole2mole of COCO when treated with hot coke. Gas or product that is produced When a mixture of air and steam is passed over red-hot coke is called Producer gas.

Given:
Initial volume =1L = 1L
And Final volume =1.4L = 1.4L
Now, let us say in 1L1L initial volume, xLxL is COCO and (1x)L(1 - x)L is CO2C{O_2} . But after reaction (1x)(1 - x) of CO2C{O_2} will be totally consumed and will give 2xCO2xCO .
Therefore,
Final volume becomes, (1x)+2x=1.4(1 - x) + 2x = 1.4
Let us find xx ,
(1x)+2x=1.4(1 - x) + 2x = 1.4
1+x=1.41 + x = 1.4
x=0.4Lx = 0.4L
As,
CO=2xCO = 2x
CO=2×0.4CO = 2 \times 0.4
CO=0.8LCO = 0.8L
Volume of CO2=1.40.8=0.6LC{O_2} = 1.4 - 0.8 = 0.6L
Finally, the composition of the product(s) is: CO=0.8LCO = 0.8L and CO2=0.6LC{O_2} = 0.6L

Hence option (C) 0.6LCO20.6LC{O_2} and 0.8LCO0.8LCO is correct.

Note: When CO2C{O_2} (g) is treated with hot coke it partially gets reduced to COCO (g). Coke may be a grey, hard, and porous fuel with high carbon content and few impurities, made by heating coal or oil within the absence of air—a fractionation process. It is a crucial industrial product, used mainly in ore smelting, but also as a fuel in stoves and forges when pollution may be a concern. A mixture of carbon monoxide and hydrogen, made by passing steam over red-hot coke is called water coke.