The number of molecules in one litre of an ideal gas at 300K and 2 atmospheric pressure with mean kinetic energy 2 × 10?? J per molecule is:
The number of molecules in one litre of an ideal gas at 300K and 2 atmospheric pressure with mean kinetic energy 2 × 10?? J per molecule is:
Option 1 -
0.75 * 10¹¹
Option 2 -
3 * 10¹¹
Option 3 -
6 * 10¹¹
Option 4 -
1.5 * 10¹¹
Asked by Shiksha User
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1 Answer
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Correct Option - 3
Detailed Solution:1 litre, T = 300K, P = 2 atm, KE = 2×10? J/molecule, no of molecule =?
No. of molecules = (no of moles) × NA = nNA
Also, n = PV/RT = PV/ (NAkT)
KE = (3/2)kT = 2×10? J [Given]
kT = (4/3)×10?
P = 2 atm = 2 × 1.013 × 10? N/m²
vol = 1 lit = 10? ³ m³
No. of molecules = PV/kT = (2×1.013×10? × 10? ³)/ (4/3)×10? ) ≈ 1.5 × 10¹¹
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