-->

Structure Of Atom

Question
CBSEENCH11005218

An element with mass number 81 contains 31.7% more neutrons as compared to protons. Assign the atomic symbol. 

Solution

No. of protons + No. of neutrons  = Mass number = 81
Let number of protons in the atom be x
space space therefore space space Number space of space neutrons space in space the space atom space equals space straight x plus fraction numerator 31.7 over denominator 100 end fraction cross times space straight x
space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals space 1.317 space straight x space space space space space space space space space space space space space
space space therefore space space space straight x space plus 1.317 straight x space equals space 81
space space space space space space space space space space space space 2.317 straight x space equals space 81
space therefore space space space space space space space space space space space space space space space straight x space equals space fraction numerator 81 over denominator 2.317 end fraction space equals 35
space therefore space space space space space space space Number space of space protons space equals space 35
space therefore space space space Atomic space number space of space the space element space equals space 35
space Element space with space atomic space number space 35 space is space Br
space therefore   Atomic symbol is space space Br presubscript 35 presuperscript 81.