Question 1 of 62beginner🔧 ApplyNumerical2 marks

(i) Calculate the number of electrons which will together weigh one gram. (ii) Calculate the mass and charge of one mole of electrons.

(i)
Answer

1.0977×10271.0977 \times 10^{27} electrons

(ii)
Answer

Mass = 5.48×10−75.48 \times 10^{-7} kg, Charge = −9.648×104-9.648 \times 10^{4} C

Explanation

To solve this numerical, we use the fundamental properties of an electron provided in the text: the mass of an electron (mem_e) is 9.1094×10−319.1094 \times 10^{-31} kg and the charge is −1.602176×10−19-1.602176 \times 10^{-19} C. For part (i), we convert the mass of a single electron into grams and divide 1 gram by this value. For part (ii), we multiply the mass and charge of a single electron by Avogadro's number (6.022×10236.022 \times 10^{23}) to find the total mass and charge of one mole of electrons.

Next