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The highest vacuum attained so far is of the order of 10-11  mm of Hg. How many  molecules are there in 1m3  of a vessel under such a high vacuum at 0ºC ?

a
3.5×1014
b
6.4×1017
c
6.4×1027
d
2.2×1012

detailed solution

Correct option is A

PV=nRT=NNART=NkT⇒N=PVkT=10−11(13000)(9.8)(1)1.38×10−23(273)=3.5×1014

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