Consider the general balanced equation for combustion of hydrocarbon:
"C_xH_y+(x+\\frac{y}{4})O_2\\to xCO_2+\\frac{y}{2}H_2O"
Molar mass of "CO_2=44\\frac{g}{mol}"
So the number of moles of "CO_2" formed"=x=\\frac{26}{44}=0.59""mol"
Molar mass of "H_2O=18\\frac{g}{mol}"
So the number of moles of "H_2O" formed"=\\frac{y}{2}=\\frac{7.99}{18}=0.44""mol"
So "y=2\\times0.44=0.88mol"
For "C: x=0.59\\approx0.60"
For"H:y=0.88\\approx0.90"
So there will be 3 "H" atoms per 2 "C" atoms
Hence the empirical formula of the given hydrocarbon is "C_2H_3"
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