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asambeis [7]
3 years ago
5

Cholrine has an average atomic mass of 35.45 amu. The two naturally occurring isotopes of chlorine are chlorine-35 and chlorine-

37. do most chlorine atoms contain 18 neutrons or 20 neutrons? why?
Physics
2 answers:
Pani-rosa [81]3 years ago
6 0

let the moles of chlorine-35 is n1 and chlorine-37 is n2

now we will use the formula of average atomic mass

M = \frac{n_1M_1 + n_2M_2}{n_1 + n_2}

here let say

\frac{n_1}{n_2} = x

35.45 = \frac{x(35) + 37}{x + 1}

35.45 x + 35.45 = 35x + 37

35.45 x - 35 x = 37 - 35.45

0.45 x = 1.55

x = 3.44

so here since ratio of moles of chlorine 35 and chlorine 37 is more than 1 so chlorine 35 is more in the proportion in this mixture so <em>there is most chlorine atom consist of 18 neutrons</em>

NARA [144]3 years ago
6 0

Answer:

chlorine-35

Explanation:

We are given that Chlorine has an average atomic mass=35.45 amu

The two naturally occurring isotopes of chlorine are chlorine -35 and chlorine -37.

We have to find which isotope  most contain 18 neutrons or 20 neutrons and why.

Let

\frac{x}{y}=a

Where x= Part of chlorine-35

y=Part of chlorine-37

Then, x=a and y=1

Average atomic mass=\frac{m_1x_1+m_2x_2}{x-1+x_2}

Using this formula

35.45=\frac{35a+37}{a+1}

35.45a+35.45=35a+37

35.45a-35 a=37-35.45=1.55

0.45 a=1.55

a=\frac{1.55}{0.45}=3.44

The ratio of two isotopes is 3.44 which is greater than 1.

Therefore,chlorine-35 is greater than chlorine-37 in a mixture of two isotopes.

We know that atomic number of chlorine-35 is 17.

Neutron number=35-17=18

Hence, the chlorine-35 is most which contain 18 neutrons.

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