Question

At STP, a gas that contains $6.02\times {10}^{23}$ atoms and it forms diatomic molecules will occupy :

• A. $11.2$ L
• B. $22.4$ L
• C. $33.6$ L
• D. $67.2$ L
• E. $1.06$ L

Answer 1

The correct option is A $11.2$ L

Avogadros number is $6.02\times {10}^{23}$. it corresponds to one mole of atoms.
Since, the gas forms diatomic molecules, 1 mole of atoms corresponds to 0.5 moles of molecules.
At STP, 1 mole of a gas occupies a volume of 22.4 L.
Hence, 0.5 moles of a gas will occupy a volume of $\frac{22.4}{2}=11.2L$.