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20CC of hydro carbon were exploded with excess of oxygen. After explosion and cooling a contraction of 20cc was noted on addition of KOH another contraction of 40CC was noted. The molecular formula of hydrocarbon is

Answer»

`C_(2)H_(6)`
`C_(2)H_(4)`
`C_(2)H_(2)`
`CH_(4)`

Solution :Let formula of hydrocarbon = CXHY
`CxHY+(X+(y)/(4))O_(2)rarrxCO_(2)+(y)/(2)H_(2)O`
`{:("1 mol",(x+(y)/(4))"mol","x mol"),("1 vol",(x+y//4)"vol","x vol"),(20C C,20(x+(y)/(4))C C,20xC C):}`
`CO_(2)` PRODUCED = contraction on addition of KOH
= 40 CC implies 20x = 40 implies x = 2
`[20C C+20(x+(y)/(4))C C]-20xC C=30C C`
`y=2`
Formula of hydrocarbon =`C_(2)H_(2)`


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