A carbon nucleus has six protons and six neutrons. How many electrons would it take to equal the mass of a carbon nucleus?
ok. i think theres some type of formula or some trick to figure this one out but i don't know what it is. If you guys know how to figure this out can u tell me then i will try to get the answer and post it so u can check it:) Thanks!
6*massproton+6*masscarbon=n*masselectron
look up the three masses, solve for n.
An close estimate of n will be 12*1760, since one electron is 1/1760 th of the mass of a nucleon.
thanks. im stuck on finding the masscarbon though. i searched on google and nothing comes up with the mass of a carbon.
i got 7.9X10^28 for some weird reason. is the mass of carbon. .012011?
wut am i doing wrong?
To determine the number of electrons it would take to equal the mass of a carbon nucleus, we need to calculate the total mass of the carbon nucleus and then convert it to the mass of electrons.
Let's break down the process step by step:
Step 1: Determine the mass of a proton and neutron.
The mass of a proton is approximately 1 atomic mass unit (amu), and the mass of a neutron is also approximately 1 amu.
Step 2: Calculate the total mass of the carbon nucleus.
A carbon nucleus consists of 6 protons and 6 neutrons, so the total mass of the carbon nucleus is:
(6 protons * 1 amu/proton) + (6 neutrons * 1 amu/neutron) = 12 amu
Step 3: Convert the mass of the carbon nucleus to the mass of electrons.
The mass of an electron is approximately 1/1836 amu. To find the number of electrons that would have the same mass as the carbon nucleus, we need to divide the mass of the carbon nucleus by the mass of a single electron:
12 amu / (1/1836 amu/electron) = 12 * 1836 electrons ≈ 22,032 electrons
Therefore, it would take approximately 22,032 electrons to equal the mass of a carbon nucleus.