JEE MAIN - Chemistry (2002 - No. 54)

Number of atoms in 558.5 gram Fe (at. wt. of Fe = 55.85 g mol-1) is
twice that in 60 g carbon
6.023 $$\times$$ 1022
half that in 8 g He
558.5 $$\times$$ 6.023 $$\times$$ 1023

Explanation

Number of moles of Fe in 558.5 gm of Fe is

$$ = $$ $${{558.5} \over {55.85}}$$

$$ = $$ 10

$$\therefore$$ Number moles of Fe in 558.5 gm Fe is = 10

Since here Fe is monoatomic then no. of atoms in 10 moles Fe is

$$ \Rightarrow $$ 10 $$\times$$ 1 $$\times$$ NA

$$ \Rightarrow $$ 10 NA

For Option (A) Atomic Mass of Carbon is 12 g then no. of moles in 60 g Carbon is

$$ \Rightarrow $$ $${{60} \over {12}} = 5$$

Here Carbon is also monoatomic then no. of atoms in 5 moles of Carbon

$$ \Rightarrow $$ 5 $$\times$$ 1 $$\times$$ NA

$$ \Rightarrow $$ 5 NA

Now we can clearly see 10 is twice of 5, so option (A) is correct.

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