Sure, here is the step-by-step solution of the given question:
To determine which gas contains the maximum number of molecules, we can utilize Avogadro's law. Avogadro's law states that equal volumes of gases, at the same temperature and pressure, contain an equal number of molecules. This means that if we compare the volumes of gases at Standard Temperature and Pressure (STP), the gas with the largest volume will also have the highest number of molecules.
Given the volumes at STP:
- 400 cc of [tex]${O_2}$[/tex]
- 500 cc of [tex]${NH_3}$[/tex]
- 250 cc of [tex]${SO_2}$[/tex]
- 150 cc of [tex]${CO_2}$[/tex]
We compare the volumes directly:
- 400 cc for [tex]${O_2}$[/tex]
- 500 cc for [tex]${NH_3}$[/tex]
- 250 cc for [tex]${SO_2}$[/tex]
- 150 cc for [tex]${CO_2}$[/tex]
Among these, 500 cc (cubic centimeters) is the largest volume.
Therefore, the gas that contains the maximum number of molecules is:
b) 500 cc of [tex]${NH_3}$[/tex] at STP
So the correct answer is b) 500 cc of [tex]${NH_3}$[/tex] at STP.
