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  4. Number of atoms of He in 100 amu of He (atomic wt. of He is 4) are

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Q. Number of atoms of He in 100 amu of He (atomic wt. of He is 4) are

UP CPMTUP CPMT 2006

Solution:

1 amu $=1.66\times 10^{-24}\,gm$
$100$ amu $=100\times 1.66\times 10^{-24}\,gm$
No. of atoms of a substance
$=\frac{\text{wt. of substance}}{\text{No. of gm moles}} \times 6.023\times 10^{23}\times {\text{Atomicity}}$
$=\frac{100 \times 1.66\times 10^{-24}}{4} \times 6.023\times 10^{23}\times 1$
$=25$