Answer:
[tex]\huge\boxed{\sf No.\ of\ molecules = 3 * 10\²\² \ molecules}[/tex]
Explanation:
Given Data:
Volume = v = 1.12 dm³ = 1.12 L
Density of nitrogen at STP = D = 1.25 g / L
Molar mass = M = 14 * 2 = 28 g / mol
Avogadro's Number = [tex]\tt{N_{A}}[/tex] = 6.023 * 10²³ mol⁻¹
Required:
No. of molecules = ?
Formula:
[tex]\tt{No. \ of \ molecules = \frac{Density * Volume}{Molar\ Mass} * N_{A}}[/tex]
Solution:
No. of molecules = (1.25*1.12) / 28 * (6.023 * 10²³)
No. of molecules = ( 1.4 / 28 ) * 6.023 * 10²³
No. of molecules = 0.05 * 6.023 * 10²³
No. of molecules = 0.3 * 10²³
No. of molecules = 3 * 10²² molecules
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807
