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Question: An element with mass number 81 contains \(31.7\%\)more neutrons as compared to protons. Find the sym...

An element with mass number 81 contains 31.7%31.7\%more neutrons as compared to protons. Find the symbol of the atom.

A

3481Se{}_{34}^{81}Se

B

3518Br{}_{35}^{18}Br

C

3618Kr{}_{36}^{18}Kr

D

3718Rb{}_{37}^{18}Rb

Answer

3518Br{}_{35}^{18}Br

Explanation

Solution

: Mass number of the element = 81 i.e., p + n = 81 Let the number of protons be x.

Number of neutrons

=x+31.7100×x=1.317x= x + \frac{31.7}{100} \times x = 1.317x

x+1.317x=81\therefore x + 1.317x = 81 or 2.317x=812.317x = 81

or x=812.317=35x = \frac{81}{2.317} = 35

symbol of the element =3581Br=_{35}^{81}Br