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]