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ICSE Class 10 Answered

A sample of coal gas contained 45% H2, 30% CH4, 20% CO and 5%C2H2 by Volume. 100 cm3 of this gaseous mixture was mixed with 190 cm3 of oxygen and exploded. Calculate the volume and composition of the mixture when cooled to room temperature and pressure
Asked by saranchemist1708 | 21 Jun, 2018, 07:57: AM
answered-by-expert Expert Answer
Given colon
Volume equals space 100 cm cubed equals 100 ml
Constituents space of space coal space gas space are
Hydrogen space equals 45 space percent sign space equals space 45 space ml space as space the space total space volume space is space 100 ml
Methane equals space 30 space percent sign
Carbon space monoxide equals space 20 percent sign
Acetylene space equals 5 percent sign

Sience space 100 space ml space of space tis space mixture space exploaded space with space 190 space ml space of space oxygen
then space this space means space that space each space of space these space constituents space reacts space with space oxygen space as space following
1 right parenthesis space straight H subscript 2 colon
straight H subscript 2 space end subscript plus space straight O subscript 2 rightwards arrow with blank on top space 2 straight H subscript 2 straight O
Since space 1 space mole space of space gas space equals space 22.4 space straight l space volume space at space STP
22400 cross times 2 ml space of space straight H subscript 2 space reacts space with space 22400 ml space of space straight O subscript 2
45 space ml space of space straight H subscript 2 space reacts space with space fraction numerator 22400 over denominator 22400 cross times 2 end fraction space cross times 45 space equals space 22.5 space ml space of space straight O subscript 2 space will space gives space 45 space ml space of space straight H subscript 2 straight O

2 right parenthesis space CH subscript 4 colon
CH subscript 4 space plus space 2 straight O subscript 2 space rightwards arrow with blank on top 2 straight H subscript 2 straight O space plus space CO subscript 2

22400 ml space of space CH subscript 4 space reacts space with space 22400 cross times 2 space ml space of space straight O subscript 2
30 space ml space of space CH subscript 4 space space reacts space with space fraction numerator 22400 cross times 2 over denominator 22400 end fraction space cross times 30 space equals space 60 space ml space of space straight O subscript 2 space will space gives space 90 space ml space of space produ c t

3 right parenthesis space CO colon
2 CO space plus space straight O subscript 2 space rightwards arrow with blank on top space 2 CO subscript 2

22400 cross times 2 ml space of space CO space reacts space with space 22400 cross times 2 space ml space of space straight O subscript 2
20 space ml space ofCO space reacts space with space fraction numerator 22400 over denominator 22400 cross times 2 end fraction space cross times 20 space equals 10 space ml space of space straight O subscript 2 space will space gives space 20 space ml space of space CO subscript 2

4 right parenthesis space straight C subscript 2 straight H subscript 2 colon
2 CH identical to CH space plus space 5 straight O subscript 2 rightwards arrow with blank on top space 4 space CO subscript 2 space plus space 2 straight H subscript 2 straight O

22400 cross times 2 ml space of space straight C subscript 2 straight H subscript 2 space reacts space with space 22400 cross times 5 ml space of space straight O subscript 2
5 space ml space of space straight H subscript 2 space reacts space with space fraction numerator 22400 cross times 5 over denominator 22400 cross times 2 end fraction space cross times 5 space equals space 12.5 space ml space of space straight O subscript 2 space will space gives space 15 space ml space of space straight H subscript 2 straight O


Now comma space the space total space volume space of space oxygen space reacted space equals space 22.5 space plus 60 plus 10 plus 12.5 space equals space 105 ml
Volume space of space oxygen space unreacted space equals space 190 space plus space 105 space equals space 85 straight m

Tota space volume space of space mixtutre space equals space Volume space odf space oxygen space unreacted space plus space Volume space of space products space forne d

space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals space 85 plus 45 plus 90 plus 20 plus 15 space space space space space
space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals space 255 ml space space space space space space space space space space space space space space space space space space space space
Answered by Ramandeep | 21 Jun, 2018, 11:54: AM
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