Question #84733

What volume in L of O2 at STP is needed to burn 1.00 L (702g) of octane

Expert's answer

84733 Chemistry, Other

What volume in L of O2\mathrm{O}_2 at STP is needed to burn 1.00 L (702 g) of octane?

Answer:

2C8H18(g)+25O2(g)16CO2(g)+18H2O(g)2\mathrm{C}_{8}\mathrm{H}_{18}(\mathrm{g}) + 25\mathrm{O}_{2}(\mathrm{g})\rightarrow 16\mathrm{CO}_{2}(\mathrm{g}) + 18\mathrm{H}_{2}\mathrm{O}(\mathrm{g})

PV=nRT

n (O2)(O_2) = 702g C8H18C_8H_{18} x (1 mol C8H18C_8H_{18} / 114.0 g C8H18C_8H_{18} ) x (25 mol O2O_2 / 2 mol C8H18C_8H_{18} ) = 76.97 mol

V = nRT / P

V (O2)(\mathrm{O}_2) = (76.97 mol x 0.0821 Latm/molK x 291K) / 0.975 atm = 1886 L

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