Question

how many moles of electron weight 1 kg

Answer 1

Mass of an electron= 9.1 x 10^-31 Kg. Avagadro Number=6.022 x^10^23. So 1Kg of electrons contain 1.825 x10^6 moles of electrons. 1.8x10^6 moles of electrons weigh 1 kg.

Answer 2

Answer:

1.822 \times 10^{6} moles of electrons  are in 1 kilogram.

Explanation:

• A mole is the measure of the amount of substance present in a mass of the given substance.
• One mole is a constant called Avagadro’s constant.

• No. of atoms in a mole $= 6.02 \times 10^{23}$ (Avagadro’s constant)

• Mass of one electron $= 9.109 \times 10^{-31}$ g

• Mass of 1 mole of electron $= 6.02 \times 10^{23} \times 9.109 \times 10^{-31}$

• So 1 kg of the electron will contain $1/(6.02×〖10〗^23×9.109×〖10〗^(-31) )$

To calculate the no. of moles, the formula is as follows:  

n $=\frac{\mathrm{m}}{\mathrm{M}}$ where, n is the number of moles, m the given mass, and M the molar mass.

N $=\frac{1}{6.02 \times 10^{28} \times 9.109 \times 10^{-31}}$

$=\frac{1 \times 10^{8}}{6.02 \times 9.109}$

$=1.822 \times 10^{6}$

Answer  $=1.822 \times 10^{6}$ moles of electrons.