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 1.01 bar and 23 ∘C, what is the volume of carbon dioxide formed by the combustion of 2.60 g of butane?
Molar mass of C4H10,
MM = 4*MM(C) + 10*MM(H)
= 4*12.01 + 10*1.008
= 58.12 g/mol
mass(C4H10)= 2.60 g
number of mol of C4H10,
n = mass of C4H10/molar mass of C4H10
=(2.6 g)/(58.12 g/mol)
= 4.474*10^-2 mol
From reaction,
moles of CO2 formed = (8/2)*moles of C4H1O reacted
= 4*4.474*10^-2 mol
= 0.17896 mol
Given:
P = 1.01 bar
= (1.01/1.01325) atm
= 0.9968 atm
n = 0.17896 mol
T = 23.0 oC
= (23.0+273) K
= 296 K
use:
P * V = n*R*T
0.9968 atm * V = 0.179 mol* 0.0821 atm.L/mol.K * 296 K
V = 4.36 L
Answer: 4.36 L
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