Answer
Verified
448.5k+ views
Hint: Mass of an electron in amu unit i.e. atomic mass unit can be found by dividing the mass of an electron in kilograms to mass of one atomic unit. The one atomic mass unit is related to the mass of a carbon-12 atom.
Complete step by step solution:
Let us find the value of mass of an electron step by step. As we know, the mass of an electron in kilograms is 9.1$\times$ 10$^{-31}$kg.
Now, we will define the atomic mass unit. It is equal to $\dfrac{1}{12}$th of the mass of a carbon-12 atom, or we can say it is the mass of a nucleon, whether it is a proton, or a neutron.
As we know, Avogadro’s number is equal to 6.022$\times$ 10$^{-23}$atoms in 1 mole, then for carbon-12 atom, it is 1.99 $\times$ 10$^{-23}$ g/atom.
Thus, 1 atomic unit is equal to 1.66 $\times$ 10$^{-27}$ kg.
Therefore, as mentioned, mass of an electron in amu = $\dfrac{9.1\times 10^{-31}}{1.66\times 10^{-27}}$ = 0.00055 u (approximately).
Thus, the mass of an electron in amu is 0.00055 u. The correct option is (A).
Note: Don’t get confused with the calculation of the value of one atomic mass unit in kilograms. We know that a carbon -12 atom consists of six protons, and six neutrons with the molar mass of 12 g/ mol. So, we found the value by using Avogadro's number for 12g/ mol. The value attained in g/atom is converted into kg, as we required in the kilogram unit.
Complete step by step solution:
Let us find the value of mass of an electron step by step. As we know, the mass of an electron in kilograms is 9.1$\times$ 10$^{-31}$kg.
Now, we will define the atomic mass unit. It is equal to $\dfrac{1}{12}$th of the mass of a carbon-12 atom, or we can say it is the mass of a nucleon, whether it is a proton, or a neutron.
As we know, Avogadro’s number is equal to 6.022$\times$ 10$^{-23}$atoms in 1 mole, then for carbon-12 atom, it is 1.99 $\times$ 10$^{-23}$ g/atom.
Thus, 1 atomic unit is equal to 1.66 $\times$ 10$^{-27}$ kg.
Therefore, as mentioned, mass of an electron in amu = $\dfrac{9.1\times 10^{-31}}{1.66\times 10^{-27}}$ = 0.00055 u (approximately).
Thus, the mass of an electron in amu is 0.00055 u. The correct option is (A).
Note: Don’t get confused with the calculation of the value of one atomic mass unit in kilograms. We know that a carbon -12 atom consists of six protons, and six neutrons with the molar mass of 12 g/ mol. So, we found the value by using Avogadro's number for 12g/ mol. The value attained in g/atom is converted into kg, as we required in the kilogram unit.
Recently Updated Pages
How many sigma and pi bonds are present in HCequiv class 11 chemistry CBSE
Mark and label the given geoinformation on the outline class 11 social science CBSE
When people say No pun intended what does that mea class 8 english CBSE
Name the states which share their boundary with Indias class 9 social science CBSE
Give an account of the Northern Plains of India class 9 social science CBSE
Change the following sentences into negative and interrogative class 10 english CBSE
Trending doubts
Difference Between Plant Cell and Animal Cell
Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE
Differentiate between homogeneous and heterogeneous class 12 chemistry CBSE
Which are the Top 10 Largest Countries of the World?
One cusec is equal to how many liters class 8 maths CBSE
Give 10 examples for herbs , shrubs , climbers , creepers
The mountain range which stretches from Gujarat in class 10 social science CBSE
The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths