# A mixture of CH4 and C2H2 occupied a certain volume at a total pressure of 63 mm.The sample was burnt to CO2 and H2O and the CO2 alone was collected and it's pressure was found to be 69 mm in the same volume and at the same temperature as the original mixture.What fraction of the mixture was Methane ??

1 answer ? Chemistry

Best Answer

from this unbalanced equation

CH4 + C2H2 + O2 ? CO2 + H2O

if we let moles of CH4 be x and moles of C2H2 be y

then moles of CO2 will be (x+2y) to account for all the carbons

now

PV = nRT but V, R an T are all constants in this equation

so

P = n Z where Z is the collection of constants

so

nZ on the left = 63Z = x+y

nZ on the right = 96Z = x+2y

subtracting the first equation from the second

33Z = y so x=30Z because 63Z is the total

now

CH4/100% = part/whole = 30Z / 63Z = 0.476

CH4 = 47.6% of the original sample.

i hope this help you...