Answered

Which of the following has the largest number of atoms when all the gases are placed at the same temperature and pressure in separate containers?

A. [tex]$100 cm^3$[/tex] of [tex]$CO_2$[/tex]
B. [tex]$150 cm^3$[/tex] of NO
C. [tex]$80 cm^3$[/tex] of [tex]$NH_3$[/tex]
D. [tex]$90 cm^3$[/tex] of [tex]$SO_2$[/tex]



Answer :

To determine which gas has the largest number of atoms when all are placed at the same temperature and pressure, we can use the fact that the number of atoms in a gas is directly proportional to its volume under these conditions.

Step 1: Identify the volume of each gas.
- [tex]\( CO_2 \)[/tex] has a volume of 100 cm³.
- [tex]\( NH_3 \)[/tex] has a volume of 80 cm³.
- [tex]\( NO \)[/tex] has a volume of 150 cm³.
- [tex]\( SO_2 \)[/tex] has a volume of 90 cm³.

Step 2: Compare the volumes to determine which gas has the largest volume.
- [tex]\( CO_2 = 100 \)[/tex] cm³
- [tex]\( NH_3 = 80 \)[/tex] cm³
- [tex]\( NO = 150 \)[/tex] cm³
- [tex]\( SO_2 = 90 \)[/tex] cm³

Step 3: Identify the gas with the largest volume.
- [tex]\( NO \)[/tex] has the largest volume of 150 cm³.

Therefore, the gas with the largest number of atoms, when all are placed at the same temperature and pressure in separate containers, is [tex]\( NO \)[/tex] with a volume of 150 cm³.

So the answer is:
(b) 150 cm³ of [tex]\( NO \)[/tex]