0.25 pts What is the total number of molecules in 11.2 liters of N_2 gas at STP?

Apr 30, 2017

$\text{The molar volume at STP is (depending on the syllabus.......)}$

Explanation:

The molar volume at STP is (depending on the syllabus) is $22.4 \cdot L \cdot m o {l}^{-} 1$. Ideality is assumed.

And to find the number of gaseous molecules, we simply muliltply the molar quantity by ${N}_{A}$, $\text{Avogadro's number}$.

So we simply divide the volume by the molar volume:

$\frac{11.2 \cdot \cancel{L}}{22.4 \cdot \cancel{L} \cdot m o {l}^{-} 1} \times {N}_{A} = \frac{1}{2} \times \frac{1}{\frac{1}{m o l}} \times {N}_{A}$.

$\frac{1}{2} \times m o l \times 6.022 \times {10}^{23} \cdot m o {l}^{-} 1 = 3.01 \times {10}^{23}$ gaseous molecules........