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ICSE Class 6 Answered

One litre of water has 6.02×10raise to 26molecules.What is the estimation of asize of a molecule  
Asked by prajakta.topkar | 26 Jun, 2018, 08:43: PM
answered-by-expert Expert Answer
One litre of water has 6.023×1026  molecules.
 
hence volume of one molecule = begin mathsize 12px style fraction numerator 1000 space c m cubed over denominator 6.02 cross times 10 to the power of 26 end fraction space cross times fraction numerator 10 to the power of negative 6 end exponent space m cubed over denominator 1 space c m cubed end fraction space equals space 1.66 cross times 10 to the power of negative 30 end exponent space m cubed end style
assume the moleculer size as sphere of diameter d, we have begin mathsize 12px style 1 over 6 straight pi space straight d cubed space equals space 1.66 space cross times space 10 to the power of negative 30 end exponent end style .............(1)
 
from the above eqn.(1), we get d = 1.469 × 10-10 m

Answered by Thiyagarajan K | 29 Jun, 2018, 03:05: PM
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