Question

At the same temperature and pressure, 15L of CO2 gas has the same amount of molecules as what volume of N2 gas?

Answer 1

Answer: 15 L of
`N_2` gas will have same numer of molecules as 15L of
`CO_2` gas at the same temperature and pressure,

Step-by-step explanation:

According to avogadro's law, equal moles of gases occupy equal volume at same conditions of temperature and pressure.

`\text{Number of moles}=\frac{\text{Given volume}}{\text{Molar volume}}`

`\text{Number of moles of} CO_2=(15L)/(22.4L/mol)=0.67mol`

`1 mole of CO_2` contains=
`6.022* 10^(23)` molecules of
`CO_2`

Thus 0.67 moles of
`CO_2` contains=
`(6.022* 10^(23))/(1)* 0.67=4.03* 10^(23)` molecules

Now molecules of
`N_2` = molecules of
`CO_2` =
`4.03* 10^(23)`

`6.023* 10^(23)` molecules of
`N_2` = 22.4 L

Now
`4.03* 10^(23)` molecules of
`N_2` =
`(22.4)/(6.023* 10^(23))* 4.03* 10^(23)=15L`