Question

You exhale about .0800 liters of CO2 (carbon dioxide) gas in a single breath. 22.4 liters of CO2 contain 6.022 x 1023 molecules. 6,022 x 1023 CO2 molecules have a mass of 44.0 grams. Find the A) number of carbon dioxide molecules you exhale in each breath. Find the mass of the CO2 you exhale in a single breath.

Answer 1

Answer:

A) $2.150 * 10^{22}$

B) 1.57 grams

Explanation:

Given -

Amount of gas exhaled in one single breathe $= 0.080$ liters

$22.4$ liter of carbon dioxide contains $6.022 * 10^{23}$ molecules

One liter of carbon dioxide contains $= \frac{6.022*10^{23}}{22.4}\\= 2.688 * 10^{23}$

A) Number of molecules in $0.08$ liter of carbon dioxide $= 0.08 * 2.688 * 10^{23}\\= 2.150 * 10^{22}$

B) Mass of $6.022 * 10^{23}$ molecules is equal to $44$ grams

Mass of one molecule $= \frac{44}{6.022*10^{23}} \\= 7.306*10^{-23}$

Mass of molecule is$[tex]7.306*10^{-23} * 2.150 * 10^{22}\\= 1.57$[/tex]  gram