Final answer:
The number of electrons transferred when rubbing a balloon on your head can be calculated by dividing the charge gained by the elementary charge.
Step-by-step explanation:
The charge gained by rubbing the balloon on your head is 75 nc (nanocoulombs). To determine the number of electrons transferred, we can use the fact that the elementary charge of an electron is approximately 1.6 x 10-¹⁹ C (coulombs). Therefore, we can calculate the number of electrons transferred by dividing the charge gained by the elementary charge:
Number of electrons transferred = Charge gained / Elementary charge
Substituting in the given values, we have:
Number of electrons transferred = 75 x 10⁹ C / (1.6 x 10-¹⁹ C/e)
Simplifying this expression gives us:
Number of electrons transferred = 4.6875 x 10¹⁰ electrons