A sample of CaCO3 contains 3-01 -1023 ions of Ca2 - and CO32 - The mass of the sample is-

The correct option is B 50 gWe know that CaCO_3 contains 1 mole #10;of both Ca^2+ and CO_3^2 ions that is, 6.02 ×10^23 ions of both ...

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Standard XII

Chemistry

Atomic Number and Mass Number

A sample of ...

Question

A sample of $C a C O_{3}$ contains $3.01 \times 10^{23}$ ions of $C a^{2 +}$ and $C O_{3}^{2 -}$ . The mass of the sample is:

100 g

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50 g

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200 g

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5 g

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Solution

The correct option is B 50 g
We know that $C a C O_{3}$ contains 1 mole of both $C a^{2 +}$ and $C O_{3}^{2 -}$ ions that is, $6.02 \times 10^{23}$ ions of both the ions.
Now, since the number of ions in the question is given to be $3.01 \times 10^{23}$ which is half of $6.02 \times 10^{23}$ , hence, the number of moles will also get halved.
Since we know that $m o l e s = \frac{G i v e n m a s s}{M o l e c u l a r m a s s}$
Therefore, $\frac{1}{2} = \frac{R e q u i r e d m a s s o f C a C O_{3}}{100}$
$R e q u i r e d m a s s o f C a C O_{3} = 50 g$

Hence, option (b) is correct.

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A sample of CaCO3 contains 3.01×1023 ions of Ca2+ and CO2−3. The mass of the sample is:

A sample of $C a C O_{3}$ contains $3.01 \times 10^{23}$ ions of $C a^{2 +}$ and $C O_{3}^{2 -}$ . The mass of the sample is: