# SAQ : At STP, n number of N2 molecules occupies a volume of V litre. What volume n/2 number of CO2 molecules will occupy at STP?

Question

At STP, n number of N2 molecules occupies a volume of V litre. What volume n/2 number of CO2 molecules will occupy at STP? [Ans. V/2 L]

At STP (Standard Temperature and Pressure), the temperature is 273 K and the pressure is 1 atm. One mole of any gas at STP occupies 22.4 liters of volume.

Therefore, n number of N2 molecules will occupy a volume of V litres at STP.

n(N2) = N/NA, where N is the number of N2 molecules and NA is Avogadro’s number

The number of moles of N2 will be equal to the number of moles of CO2, assuming both gases are at STP. We can calculate the number of CO2 molecules using the following equation:

n(CO2) = (n/2)(NA)

The volume occupied by n/2 number of CO2 molecules can be calculated using the volume of one mole of CO2 at STP:

V(CO2) = n(CO2) × 22.4 L/mol

Substituting the values we get:

n(N2) = N/NA n(CO2) = (n/2)(NA)

V(CO2) = n(CO2) × 22.4 L/mol

We can simplify n(CO2) as follows:

n(CO2) = (n/2)(NA)

n(CO2) = n(N2)/2

Substituting this in the equation for V(CO2), we get:

V(CO2) = (n(N2)/2) x 22.4 L/mol V(CO2) = (n(N2) x 22.4 L/mol)/2 V(CO2) = V/2

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