find the number of molecules in 10cm^3 of an ideal gas at 0 degree celcius and at a pressure of 2×10^-5 mm of mercury. take density of hg=13.6g/cc and g=10m/s^2 R=25/3 j/mol-k
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Answer:
=1cm
3
=10
−3
m
3
T=0
0
C=273K
P=10
−5
mmHg
=133.32×10
−5
N/m
2
R=8.314J/mol.k
PV=nRT (ideal gas eq.)
⇒133.32×10
−5
×10
−6
=n×8.314×273
⇒n=0.0056×10
−11
mol
v=1mol=6.023×10
23
molecules
∴6.023×10
23
×0.056×10
−11
=3.37×10
11
molecules.
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