Butane, C4H10, is a component of natural gas that is used as fuel for cigarette lighters. The balanced equation of the complete combustion of butane is 2C4H10(g)+13O2(g)→8CO2(g)+10H2O(l) At 1.00 atm and 23 ∘C, what is the volume of carbon dioxide formed by the combustion of 1.60 g of butane?
Molar mass of C4H10 = 4*MM(C) + 10*MM(H)
= 4*12.01 + 10*1.008
= 58.12 g/mol
mass of C4H10 = 1.6 g
mol of C4H10 = (mass)/(molar mass)
= 1.6/58.12
= 0.0275 mol
From balanced chemical reaction, we see that
when 2 mol of C4H10 reacts, 8 mol of CO2 is formed
mol of CO2 formed = (8/2)* moles of C4H10
= (8/2)*0.0275
= 0.1101 mol
we have:
P = 1.0 atm
n = 0.1101 mol
T = 23.0 oC
= (23.0+273) K
= 296 K
we have below equation to be used:
P * V = n*R*T
1 atm * V = 0.1101 mol* 0.0821 atm.L/mol.K * 296 K
V = 2.68 L
Answer: 2.68 L
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