a system of 1525 particles, each of which is either an electron or proton, has a net charge of -5.456*10^-17 C.
A) How many electrons are in this system?
B) What is the mass of this system?
To solve this problem, we need to know the charge and mass of both protons and electrons.
The charge of an electron (e) is -1.602 x 10^-19 C.
The charge of a proton (p) is +1.602 x 10^-19 C.
The mass of an electron is approximately 9.109 x 10^-31 kg.
The mass of a proton is approximately 1.673 x 10^-27 kg.
A) To determine the number of electrons in the system, we can use the fact that the total charge is the sum of the charges of all the particles. We can set up an equation to solve for the number of electrons (n):
-5.456 x 10^-17 C = n * (-1.602 x 10^-19 C)
Solving for n, we get:
n = -5.456 x 10^-17 C / -1.602 x 10^-19 C
n = 340 electrons
Therefore, there are 340 electrons in the system.
B) To calculate the mass of the system, we need to know the number of protons and electrons. Given that there are 1525 particles in total, we can subtract the number of electrons (n) from 1525 to find the number of protons (p):
p = 1525 - 340
p = 1185 protons
Now we can calculate the total mass of the system:
Mass of electrons = n * mass of electron = 340 * 9.109 x 10^-31 kg
Mass of protons = p * mass of proton = 1185 * 1.673 x 10^-27 kg
Total mass of the system = Mass of electrons + Mass of protons
Finally, calculate the total mass of the system using the given values for the masses and the calculated number of particles.
Note: Make sure to express the numerical values in scientific notation while calculating to maintain accuracy and precision.