The number of atoms has to be
mass/massperatom
massper atom= 12/avag number.
mass/massperatom
massper atom= 12/avag number.
The number of moles of carbon in a 1.00 g sphere can be calculated as:
Number of moles = Mass of carbon / Molar mass of carbon
Number of moles = 1.00 g / 12.0 g/mol
Now, we know that each carbon atom contains 6 protons and 6 electrons. Since electrons have a negative charge, the total negative charge will be equal to the number of electrons multiplied by the elementary charge (e), which is approximately 1.60 x 10^-19 C.
Total negative charge = Number of moles of carbon ร Avogadro's number ร Number of electrons per carbon atom ร Elementary charge
Plugging in the values, we have:
Total negative charge = (1.00 g / 12.0 g/mol) ร (6.02 ร 10^23 mol^-1) ร (6 electrons/atom) ร (1.60 ร 10^-19 C/electron)
After performing the calculation, we can find the total negative charge in coulombs.
(b) To determine the force between the electrons in one hand and the carbon sphere in the other hand, we can use Coulomb's Law. Coulomb's Law states that the force between two charged objects is directly proportional to the product of their charges and inversely proportional to the square of the distance between them. The equation is given by:
Force = (k * |q1 * q2|) / r^2
Where:
- k is the electrostatic constant, approximately equal to 8.99 ร 10^9 N m^2/C^2
- q1 and q2 are the charges of the objects (in this case, the charge of electrons and the charge of the carbon sphere)
- r is the distance between the objects
Since the electrons and the carbon sphere have opposite charges, the force will be attractive.
To calculate the force, we need to determine the magnitude of the charge of a single electron and the charge of the carbon sphere. The charge of a single electron is equal to the elementary charge, which is approximately 1.60 ร 10^-19 C.
The charge of the carbon sphere can be calculated using the formula:
Charge of the carbon sphere = Total negative charge of electrons
Once we have the charges, we can calculate the force using Coulomb's Law.
Force = (k * |charge of the electron| * |charge of the carbon sphere|) / (distance^2)
Plugging in the values, we have:
Force = (8.99 ร 10^9 N m^2/C^2) * (1.60 ร 10^-19 C) * (charge of the carbon sphere) / (1.50 m)^2
After performing the calculation, we can find the force between the hands, which will be attractive since the electron charge is negative and the carbon sphere charge is positive.