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Electric Field inside a Conductor under Electrodynamic Conditions

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Question

Find the number of molecules, atoms and a total number of molecules, of 4 litre $S O_{2}$ gas atoms at 350 K temperature and $10^{3}$ Pa pressure.

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Solution

Pressure $P = 10^{3} P a \times \frac{1 a t m}{101325 P a} = 0.00987 a t m$
Temperature $T = 350 K$
Volume $V = 4 L$
The number of moles of $S O_{2}$ gas $n = \frac{P V}{R T}$
$n = \frac{0.00987 a t m \times 4 L}{008206 L \cdot a t m / m o l c d o t K \times 350 K}$
$n = 0.00137$ moles of $S O_{2}$ gas.
The number of molecules of $S O_{2}$ gas
$= 0.00137 m o l \times 6.023 \times 10^{23} m o l e c u l e s / m o l = 8.28 \times 10^{20}$ molecules of $S O_{2}$ gas
Number of $S$ atoms $=$ number of molecules of $S O_{2}$ gas $= 8.28 \times 10^{20}$
Number of $O$ atoms $= 2 \times$ number of $S$ atoms $= 2 \times 8.28 \times 10^{20} = 1.66 \times 10^{21}$
Total number of atoms $=$ number of $S$ atoms $+$ number of $O$ atoms $= 8.28 \times 10^{20} + 1.66 \times 10^{21} = 2.48 \times 10^{21}$

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