A carbon nucleus has six protons and six neutrons. How many electrons would it take to equal the mass of a carbon nucleus?
my teacher said 6pt x conversion to make kg and then add that to 6nx conversion to make kilograms.
then that times conversion for electrons.
so kg x 1e-/.00091e-27
but i got like 8.58e-88 and it said it was wrong
mass 6 protons: 6*1.67E-27
mass 6 neutrons: 1.67E-27
mass electron:9.11E-31
number electrons= 6(2*1.67E-27)/9.11E-31
number = about 22000. You do it more accurately.
I got 2.410e16 but got it wrong
To determine how many electrons would equal the mass of a carbon nucleus, we need to follow a series of steps:
Step 1: Convert the mass of protons and neutrons to kilograms
Given that 1 proton or neutron has a mass approximately equal to 1.67 x 10^(-27) kg, we can calculate the mass of 6 protons and 6 neutrons:
Mass of 6 protons = 6 * (1.67 x 10^(-27) kg) = 1.002 x 10^(-26) kg
Mass of 6 neutrons = 6 * (1.67 x 10^(-27) kg) = 1.002 x 10^(-26) kg
Step 2: Add the masses of protons and neutrons
To find the total mass of 6 protons and 6 neutrons combined, we can add their masses together:
Total mass = Mass of 6 protons + Mass of 6 neutrons
= 1.002 x 10^(-26) kg + 1.002 x 10^(-26) kg
= 2.004 x 10^(-26) kg
Step 3: Convert the mass to electron mass units
Converting the mass of the carbon nucleus to electron mass units involves dividing it by the mass of a single electron, which is approximately 9.109 x 10^(-31) kg:
Number of electrons = Total mass / mass of a single electron
= (2.004 x 10^(-26) kg) / (9.109 x 10^(-31) kg)
= 2.197 x 10^4 electrons
Therefore, it would take approximately 2.197 x 10^4 electrons to equal the mass of a carbon nucleus.