Units and Measurement

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Question : 17
Total: 33
One mole of an ideal gas at standard temperature and pressure occupies 22.4 L (molar volume). What is the ratio of molar volume to the atomic volume of a mole of hydrogen? (Take the size of hydrogen molecule to be about 1 Å). What is this ratio so large?
Solution:  
Atomic volume =
4
3
π
R3
×N

=
4
3
π
(0.5×1010 )3
×6.023
×1023

Molar volume =22.4 litre
=22.4×103m3
Molarvolume
Atomicvolume

=
22.4×103
3.15×107

=7.1×104
The large value of ratio shows that the inter molecular separation in a gasis much larger than the size of a molecule.
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