A plastic rod is rubbed against a wool shirt, thereby acquiring a charge of -0.8micro colomb. Haw many electrons are transferred from the wool shirt to the plastic rod?
Well, let me tell you, those electrons really know how to get around! In this shocking scenario, when a plastic rod is rubbed against a wool shirt, it acquires a charge of -0.8 microcolombs. Now, to find out how many electrons were transferred between these two electrifying objects, we need to channel our inner mathlete!
Each electron carries a charge of approximately -1.6 x 10^-19 coulombs. So, to figure out how many electrons were transferred, we can use the equation:
Charge (in coulombs) = Number of electrons x Charge per electron
Plugging in the values, we have:
-0.8 microcoulombs = x electrons x (-1.6 x 10^-19 coulombs)
Solving for x (the number of electrons), we get:
x electrons = -0.8 microcoulombs / (-1.6 x 10^-19 coulombs)
After crunching the numbers, we find that approximately 5 x 10^12 electrons were transferred from the wool shirt to the plastic rod. That's quite a charge-swapping party they've got going on!
To determine the number of electrons transferred, we need to know the elementary charge (e) and the charge acquired by the plastic rod.
The elementary charge, e, is equal to 1 electron charge, which is approximately 1.602 x 10^-19 Coulombs.
The charge acquired by the plastic rod, Q, is given as -0.8 micro Coulombs, which is -0.8 x 10^-6 Coulombs.
To find the number of electrons transferred, we need to divide the charge acquired by the plastic rod by the elementary charge:
Number of electrons transferred = Charge acquired by the plastic rod / Elementary charge
Number of electrons transferred = (-0.8 x 10^-6 C) / (1.602 x 10^-19 C)
Calculating this expression, we find:
Number of electrons transferred ≈ -5 x 10^12 electrons
Therefore, approximately 5 x 10^12 electrons are transferred from the wool shirt to the plastic rod.
To determine the number of electrons transferred from the wool shirt to the plastic rod, we need to use the elementary charge.
The elementary charge, denoted as "e," is the charge possessed by a single electron and has a value of 1.6 x 10^-19 coulombs.
To find the number of electrons transferred, we can use the formula:
Number of electrons = Charge transferred / Elementary charge
Given:
Charge transferred = -0.8 microcoulombs = -0.8 x 10^-6 C
Elementary charge = 1.6 x 10^-19 C
Substituting these values into the formula:
Number of electrons = (-0.8 x 10^-6 C) / (1.6 x 10^-19 C)
Now, we can perform the calculation:
Number of electrons = -0.8 x 10^-6 C / 1.6 x 10^-19 C
= (-0.8 / 1.6) x 10^-6-(-19)
= (-0.5) x 10^13
= -5 x 10^12
Since the charge on an electron is negative, the negative sign in the result indicates that the electrons are transferred from the wool shirt to the plastic rod.
Therefore, the number of electrons transferred from the wool shirt to the plastic rod is approximately 5 x 10^12.