How much charge is contained in 9kg of electrons?
Express your answer to two significant figures and include the appropriate units.
To calculate the amount of charge contained in 9 kg of electrons, we need to know the charge of a single electron.
The charge of a single electron is given by the elementary charge, which is approximately equal to 1.6 x 10^(-19) coulombs (C).
We can find the number of electrons in 9 kg by dividing the mass by the mass of a single electron. The mass of a single electron is approximately 9.1 x 10^(-31) kg.
Number of electrons = Mass of 9 kg / Mass of a single electron
Number of electrons = 9 kg / 9.1 x 10^(-31) kg
Now we can calculate the charge contained in the given mass of electrons by multiplying the number of electrons by the charge of a single electron.
Charge = Number of electrons x Charge of a single electron
Charge = (9 kg / 9.1 x 10^(-31) kg) x (1.6 x 10^(-19) C)
Now, let's calculate the charge:
Charge = 9 kg / 9.1 x 10^(-31) kg = 9.89 x 10^30
Charge = 9.89 x 10^30 x 1.6 x 10^(-19) C
Charge = 1.5824 x 10^12 C
Rounding to two significant figures, the charge contained in 9 kg of electrons is approximately 1.6 x 10^12 C.