The number of atoms in the given volume of Neon at Standard conditions for temperature and pressure is 1.505 × 10²².
The Ideal gas law or general gas equation emphasizes on the state or behavior of a hypothetical ideal gas. It states that "the pressure multiplied by volume is equal to moles multiply by the universal gas constant multiply by temperature.
It is expressed as;
PV = nRT
Where P is pressure, V is volume, n is the amount of substance, T is temperature and R is the ideal gas constant ( 0.08206 Latm/molK )
Given the data in the question;
At Standard conditions for temperature and pressure
We substitute our values into the expression above.
PV = nRT
n = PV / RT
n = 1.0atm × 5.67L / ( 0.08206Latm/molK × 273.15K )
n = 5.67Latm / 22.414689Latm/mol
n = 0.25mol
Now, number of mol n = 0.25mol
Number of molecules = moles × Avogadro’s Number
Number of molecules = 0.25 × (6.022×10²³)
Number of molecules = 1.505 × 10²²
Therefore, the number of atoms in the given volume of Neon at Standard conditions for temperature and pressure is 1.505 × 10²².
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