Combustion of hydrocarbons such as decane (cl) produces carbon dioxide, a \"gree

Question

Combustion of hydrocarbons such as decane (cl) produces carbon dioxide, a "greenhouse gas." Greenhouse gases in the Earth's atmosphere can trap the Sun's heat, raising the average temperature of the Earth. For this reason there has been a great deal of international discussion about whether to regulate the production of carbon dioxide. 1. Write a balanced chemical equation, including physical state symbols, for the combustion of liquid decane into gaseous carbon dioxide and gaseous water 0 2. Suppose 0.420 kg of decane are burned in air at a pressure of exactly 1 atm and a temperature of 16.0 °C. Calculate the volume of carbon dioxide gas that is produced. Round your answer to 3 significant digits

Explanation / Answer

1. Combustion of liquid decane

Equation,

2C10H22(l) + 31O2(g) --> 20CO2(g) + 22H2O(g)

2. moles decane = 0.420 kg/142.3 g/mol = 2.95 mol

moles CO2 produced = 2.95 x 20/2 = 29.51 mol

using,

Volume (V) = nRT/P

with,

n = 29.51 mol

R = gas constant

T = 16 oC + 273 = 289 K

P = 1 atm

we get,

Volume of CO2 = 29.51 x 0.08206 x 289/1 = 700 L

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