What is the % of carbon in the hydrocarbon, if #2.20 g# of #"CO"_2# is formed by complete combustion of #1.50 g# of a hydrocarbon? ( C= 12, O= 16, H= 1) (#M_r# of hydrocarbon is=60)

a) #12/44* 2.20/1.5 *100 #

b) #2.20/12*44*100/1.5#

c)#12/44*1.50*100/2.2#

d)#12/60*1.50*100/2.2#

1 Answer
Feb 7, 2018

Can be solved partially

Explanation:

First we need to find the number of moles of hydrocarbon and carbon dioxide.

#n("Hydrocarbon")=(m("Hydrocarbon"))/(M_r("Hydrocarbon"))=1.5/60=0.025mol#

#n("CO"_2)=(m("CO"_2))/(M_r("CO"_2))=2.2/44=0.05mol#

The mole ratio of the hydrocarbon to the carbon dioxide is #1:2#, so this gives us a reaction of:
#"C"_a"H"_b+x"O"_2->2"CO"_2+y"H"_2"O"#

Since we have two carbons on the right hand side, we need 2 carbons on the left hand side.

#a=2#

Our hydrocarbon has a formula of #"C"_2"H"_b#, however, the highest value for #b# is #6#, which gives an #M_r# of #30#.

This could mean an error in the question where the #M_r# is meant to be 30, or the mass used being #0.75g#