Final answer:
To find the number of charged particles transferred when a glass rod with a +13.0 nC charge touches a metal sphere and is left with a +7.0 nC charge, subtract the final charge from the initial charge to get +6.0 nC. Divide this by the charge of an electron to find approximately 3.75 × 1010 electrons were transferred.
Step-by-step explanation:
When a glass rod that has been charged to <+strong>13.0 nC (+13 × 10-9 C) touches a metal sphere and afterward has a charge of <+strong>7.0 nC (+7 × 10-9 C), the charge transferred can be determined by the difference in the rod's initial and final charges.
The initial charge on the rod was +13.0 nC and the final charge is +7.0 nC, so the charge transferred is:
(+13.0 nC) - (+7.0 nC) = +6.0 nC
Since each electron has a charge of approximately -1.60 × 10-19 C, the number of charged particles (in this context, electrons) transferred can be calculated by taking the charge transferred and dividing it by the charge per electron:
+6.0 nC / 1.60 × 10-19 C/electron ≈ +6.0 × 10-9 C / 1.60 × 10-19 C/electron = +3.75 × 1010
Therefore, approximately 3.75 × 1010 electrons were transferred to the metal sphere.