What is the charge of one mole electron known as?
Answer
589.2k+ views
Hint: One mole of electrons contains an Avogadro number of electrons. We need to use the standard values of charge of one electron and then to calculate the charge of one mole of electrons.
Complete step by step solution:
An atom consists of fundamental particles such as electron, proton and neutron. An electron is a negatively charged subatomic particle. The electron was discovered by J.J. Thomson from the experiments carried out on cathode rays.
An electron carries a charge of\[1.6 \times {10^{ - 19}}C\].
So, we know the charge of an electron.
To calculate the charge of one mole of electrons, we have to determine the number of electrons present in one mole of electrons which is as follows:
$1$mole of any substance always contains an Avogadro number of particles.
We know that Avogadro number =\[6.23 \times {10^{23}}\].
So, we can say that,
$1$ mole of electron=\[6.23 \times {10^{23}}\]electrons
Now, using the charge of an electron, we can calculate the charge of one mole of an electron is as follows:
Charge of an electron =\[1.6 \times {10^{ - 19}}C\]
So,\[6.23 \times {10^{23}} \times \dfrac{{1.6 \times {{10}^{ - 19}}C}}{{1electron}} = 9.64 \times {10^4}C\]
Thus, the charge of one mole of electrons is \[9.64 \times {10^4}C\]
Note: Do not confuse between one mole and one molecule. One mole is used to measure the quantity of a substance like no. of atoms or no. of molecules whereas one molecule is defined as the combination of two or more atoms of the same element or different element. One mole contains Avogadro’s number of molecular entities (atoms, electrons, molecules etc). It has a constant value of\[6.23 \times {10^{23}}\].
Complete step by step solution:
An atom consists of fundamental particles such as electron, proton and neutron. An electron is a negatively charged subatomic particle. The electron was discovered by J.J. Thomson from the experiments carried out on cathode rays.
An electron carries a charge of\[1.6 \times {10^{ - 19}}C\].
So, we know the charge of an electron.
To calculate the charge of one mole of electrons, we have to determine the number of electrons present in one mole of electrons which is as follows:
$1$mole of any substance always contains an Avogadro number of particles.
We know that Avogadro number =\[6.23 \times {10^{23}}\].
So, we can say that,
$1$ mole of electron=\[6.23 \times {10^{23}}\]electrons
Now, using the charge of an electron, we can calculate the charge of one mole of an electron is as follows:
Charge of an electron =\[1.6 \times {10^{ - 19}}C\]
So,\[6.23 \times {10^{23}} \times \dfrac{{1.6 \times {{10}^{ - 19}}C}}{{1electron}} = 9.64 \times {10^4}C\]
Thus, the charge of one mole of electrons is \[9.64 \times {10^4}C\]
Note: Do not confuse between one mole and one molecule. One mole is used to measure the quantity of a substance like no. of atoms or no. of molecules whereas one molecule is defined as the combination of two or more atoms of the same element or different element. One mole contains Avogadro’s number of molecular entities (atoms, electrons, molecules etc). It has a constant value of\[6.23 \times {10^{23}}\].
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