At a specific temperature and pressure, $2 \mathrm{~L}$ of $\mathrm{N}_2$ gas contains exactly $X$ m

Question

At a specific temperature and pressure, $2 \mathrm{~L}$ of $\mathrm{N}_2$ gas contains exactly $X$ molecules. The number of molecules in $0.5 \mathrm{~L}$ of $\mathrm{CO}_2$ gas under exactly the same conditions of temperature and pressure will be

Professor PC Thomas Classes · Answer

(c) : According to Avogadro's hypothesis, equal volumes of all ideal gases under identical conditions of temperature and pressure contain an equal number of molecules ($V \propto N$). Since $0.5 \mathrm{~L}$ is exactly one-fourth of $2 \mathrm{~L}$, the gas sample will contain exactly one-fourth the number of molecules, which is $X/4$.