Solveeit Logo
Login

Question

Question: Mass of 1 mole of neutrons (\[{{m}_{n}}\]=\[1.675\times {{10}^{-27}}kg\]) is: a.) \[1.8\times {{10...

Mass of 1 mole of neutrons (mn{{m}_{n}}=1.675×10−27kg1.675\times {{10}^{-27}}kg) is:
a.) 1.8×10−3kg1.8\times {{10}^{-3}}kg
b.) 1.008×10−4kg1.008\times {{10}^{-4}}kg
c.) 1.08×10−3kg1.08\times {{10}^{-3}}kg
d.) 1.008×10−3kg1.008\times {{10}^{-3}}kg

Explanation

Solution

Hint: Neutron is one of the nucleons which is present in the nucleus of all elements. The charge of the neutron in the nucleus is zero. Neutrons will make the atom or element as stable. Neutrons have mass value but no charge.

Complete step-by-step answer:
In the question it is given that mass of neutron mn{{m}_{n}}=1.675×10−27kg1.675\times {{10}^{-27}}kg
We know that the mass of 1 mole of neutron = mass of neutron ×NA\times {{N}_{A}}
Here NA{{N}_{A}}= Avogadro number = NA{{N}_{A}}= 6.023×10236.023\times {{10}^{23}}atoms
Now, substitute Avogadro number and mass of the neutron in the above equation to get a mass of 1 mole of neutrons.
Mass of 1 mole of neutrons = mass of neutron ×NA\times {{N}_{A}}
= 1.675×10−27×6.023×10231.675\times {{10}^{-27}}\times 6.023\times {{10}^{23}}
= 1.008×10−3kg1.008\times {{10}^{-3}}kg
Therefore the mass of one mole of neutrons is 1.008×10−3kg1.008\times {{10}^{-3}}kg.
So, the correct option is D.

Additional information:
Charge of the neutron is zero.
Charge of the electron is −1.602×10−19-1.602\times {{10}^{-19}} coulombs (C).
Charge of the proton is 1.602×10−191.602\times {{10}^{-19}} coulombs (C).
Mass of the proton is 1.675×10−27kg1.675\times {{10}^{-27}}kg
Mass of the neutron is 1.675×10−27kg1.675\times {{10}^{-27}}kg
Mass of the electron is 9.1096×10−31kg9.1096\times {{10}^{-31}}kg

Note:
Don’t be confused with the words neutron and proton. Both are present in the nucleus but they are not the same.
Neutron: It is a neutral particle that stays in the nucleus of the atom and has no charge, only mass. Neutrons and protons together are called nucleons.
Proton: It is a positively charged particle present in the nucleus and makes the electrons to revolve around the nucleus.
Electron: It is a negatively charged particle present in an atom and rotates in a particular orbit called a stationary orbit around the nucleus.