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For every one 37Cl isotope there are three 35Cl isotopes in a sample of chlorine. What will be the ayerage atomic mass of chlorine?
  • a)
    35
  • b)
    37
  • c)
    35.5
  • d)
    35.6
Correct answer is option 'C'. Can you explain this answer?
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For every one 37Cl isotope there are three 35Cl isotopes in a sample o...
Atomic mass of chlorine = 
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For every one 37Cl isotope there are three 35Cl isotopes in a sample o...
**The Average Atomic Mass of Chlorine**

To find the average atomic mass of chlorine, we need to consider the different isotopes of chlorine and their respective abundances.

**Isotopes of Chlorine**

Chlorine has two main isotopes - 35Cl and 37Cl. The numbers 35 and 37 refer to the mass numbers of the isotopes, which represent the sum of protons and neutrons in the nucleus of the atom.

**Abundance of Isotopes**

The question states that for every one 37Cl isotope, there are three 35Cl isotopes. This means that the abundance ratio of 37Cl to 35Cl is 1:3.

To calculate the average atomic mass, we need to consider the weighted average of the masses of the isotopes, taking into account their respective abundances.

**Calculating the Average Atomic Mass**

Let's assign the abundance of 37Cl as x and the abundance of 35Cl as 3x. Since the sum of the abundances should equal 1, we have the equation:

x + 3x = 1

Simplifying this equation, we find:

4x = 1

x = 1/4

So, the abundance of 37Cl is 1/4, and the abundance of 35Cl is 3/4.

Now, we can calculate the average atomic mass using the formula:

Average Atomic Mass = (mass of isotope 1 * abundance of isotope 1) + (mass of isotope 2 * abundance of isotope 2)

= (35 * 3/4) + (37 * 1/4)

= 105/4 + 37/4

= 142/4

= 35.5

Therefore, the average atomic mass of chlorine is 35.5, which corresponds to option C.
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For every one 37Cl isotope there are three 35Cl isotopes in a sample of chlorine. What will be the ayerage atomic mass of chlorine?a)35b)37c)35.5d)35.6Correct answer is option 'C'. Can you explain this answer?
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