Combustion of hydrocarbons such as methane $(C{H}_4)$ 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.

Write a balanced chemical equation, including physical state symbols, for the combustion of gaseous methane into gaseous carbon dioxide and gaseous water.

Suppose $0\mathrm{.}410kg$ of methane are burned in air at a pressure of exactly $1$atm and a temperature of $18\mathrm{.}0C.$ Calculate the volume of carbon dioxide gas that is produced. Be sure your answer has the correct number of significant digits.

$L$