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Q.

The ratio of molar volume to atomic volume for 1 mole of Hydrogen is. 

(Take size of hydrogen molecule to be 1 A)

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a

7.1×106

b

7.1×104

c

7.1×1010

d

7.1×108

answer is A.

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Detailed Solution

Volume occupied by 1 mole of an ideal gas at STP is known as molar volume. 

 Molar volume=22.4 litre=22.4×10-3m3

Radius of hydrogen atom is r=0.5 A=0.5×10-10m 

 Atomic volume =43πr3NA

     =43×227×0.5×10-103×6.023×1023=3.15×10-7m3

Their corresponding ratio is

Molar volumeAtomic volume=22.4×10-3m33.15×10-7m3=7.1×104

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