Which has maximum number of atoms?

Which has maximum number of atoms?

1. A
24 g of C(12)
2. B
56 g of Fe(56)
3. C
27 g of Al(27)
4. D
108 g of Ag(108)

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Solution:

24 g of carbon has maximum number of atoms. i.e. $12.046×{10}^{23}\text{\hspace{0.17em}}\text{\hspace{0.17em}}atoms$ .

$No.of\text{\hspace{0.17em}}atoms\left(N\right)=\frac{Given\text{\hspace{0.17em}}mass\left(m\right)}{Given\text{\hspace{0.17em}}atomic\text{\hspace{0.17em}}mass\left(M\right)}×Avagadro\text{\hspace{0.17em}}No.\left({N}_{A}\right)$

1) ${N}_{C}=\frac{24}{12}×{N}_{A}=2\text{\hspace{0.17em}}{N}_{A}$

2) ${N}_{Fe}=\frac{56}{56}×{N}_{A}=1\text{\hspace{0.17em}}{N}_{A}$

3) ${N}_{Al}=\frac{27}{27}×{N}_{A}=1\text{\hspace{0.17em}}{N}_{A}$

4) ${N}_{Ag}=\frac{108}{108}×{N}_{A}=1\text{\hspace{0.17em}}{N}_{A}$

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