Ammonia, \(\mathrm{NH}_{3},\) and alcohol, \(\mathrm{C}_{2} \mathrm{H}_{6} \mathrm{O},\) are released together across a room. Which will you smell first?

Short Answer

Expert verified
The smell of ammonia will reach you first because it has a lower molar mass and thus will spread more quickly.

Step by step solution

01

Determine the Molar Masses of the Molecules

The first step is to calculate the molar masses of the molecules. This can be done using the periodic table, where you sum the molar masses of the individual atoms in each molecule. Using this method, it can be determined that the molar mass of ammonia (\(NH_{3}\)) is approx 17 g/mol and that of alcohol (\(C_{2}H_{6}O\)) is approx 46 g/mol.
02

Analyze the Relationship between Molecular Mass and Dispersion

Molecules with lower molar mass tend to move faster and disperse more quickly through a room due to the kinetic molecular theory. This theory states that lighter molecules move at higher speeds, on average, than heavier ones at the same temperature.
03

Compare the Molar Masses of Ammonia and Alcohol

Finally, by comparing the molar masses of ammonia and alcohol, it can be seen that ammonia has a lower molar mass. As such, ammonia molecules will spread faster across the room.

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