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Question: An isotope of zirconium has \[{\mathbf{25}}\% \] more neutrons as compared with protons. Atomic mass...

An isotope of zirconium has 25%{\mathbf{25}}\% more neutrons as compared with protons. Atomic mass number of isotope is
A. 4040
B. 5050
C. 1010
D. 9090

Explanation

Solution

in the given question atomic mass of an isotope of zirconium is asked as zirconium has five naturally occurring isotopes.This has a refractory property, is hard and resistant to chemical attack due to these properties, zircon has many applications.

Complete Step by step answer:
Zirconium is a chemical element with the symbol ZrZr and atomic number 40. The name zirconium is given from the name of the mineral zircon which means the word is related to Persian zargun that is zircon; zar-gun, gold-like or can be called as gold.
All zirconium atoms have 4040 protons; thus, the atomic number will be 4040.
So, by the formula A=p+nA = p + n
Where, AA= mass number (the nucleon number),
pp is the number of protons,
nn is the number of neutrons.

The number of neutron is(x+0.25x)=1.25x\left( {x + 0.25x} \right) = 1.25x, where (x=1)\left( {x = 1} \right)
By putting the values in A=p+nA = p + nwe get;
A=40+1.25×(40){\text{A}} = 40 + 1.25 \times (40)
So, A=90A = 90
The isotope has an atomic mass number 9090, meaning that it has 9090 neutrons.

Hence the correct option is D.

Note: Zirconium compounds do not have any known biological role. zirconium has a ductile, lustrous, greyish-white color, and is a soft malleable metal that is solid at room temperature. Naturally occurring zirconium has five isotopes. Zirconium is a by-product of the processing of the titanium minerals ilmenite and rutile, mining and as well as tin mining process.