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If isotopic distribution of C-12 and C-14 is 98% and 2% respectively then the no. of C-14 atoms in 12gm of carbon is 1.032 × 1022 3.0 × 1022 5.88 ×1023 6.02 × 1023

Question

If isotopic distribution of C-12 and C-14 is 98% and 2% respectively then the no. of C-14 atoms in 12gm of carbon is 1.032 × 1022 3.0 × 1022 5.88 ×1023 6.02 × 1023

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Solution

The question is asking for the number of C-14 atoms in 12 grams of carbon, given that the isotopic distribution of C-14 is 2%.

First, we need to find the total number of carbon atoms in 12 grams. We know that the atomic mass of carbon is approximately 12 grams/mole. Therefore, 12 grams of carbon is approximately 1 mole of carbon.

Avogadro's number tells us that there are approximately 6.022 x 10^23 atoms in one mole. Therefore, there are approximately 6.022 x 10^23 carbon atoms in 12 grams of carbon.

Since the isotopic distribution of C-14 is 2%, we can find the number of C-14 atoms by multiplying the total number of carbon atoms by 0.02 (2/100).

So, the number of C-14 atoms in 12 grams of carbon is approximately 6.022 x 10^23 * 0.02 = 1.2044 x 10^22.

Therefore, the closest answer to the question is 1.032 x 10^22.

This problem has been solved

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