Please help me with these two problems:
1)How many electrons would it take to equal the mass of a proton?
2)What mass of electrons would be required to just neutralize the charge of 1.0g of protons?
Look up the mass of the proton. Look up the mass of the electron. Set up a proportion.
Divide Mp/Me = approximately 2000 since the proton is approximately 2000 times heavier than the electron.
The charge on the proton is about +1 and that of the electron is about -1 in arbitrary units. From the mass of the proton, calculate the number of protons in 1 gram. It will take that same number of electrons.
Thank You. I understood the first one, but I am having trouble setting up the second one. I don't know the conversion factor.
You have your conversion factor. The mass of the proton is xx grams, whatever you looked up. So how many protons are there in 1 gram.
Look at it this way but we deal with B-Bs (you know, the pellet gun thing).
1 BB weighs 0.5 grams. How many BBs are in 1 gram of BBs. Same principle.
test
Sure! Let's tackle these problems one by one:
1) How many electrons would it take to equal the mass of a proton?
To solve this problem, we need to know the relative masses of protons and electrons. The mass of a proton is approximately 1.67 x 10^-27 kilograms (kg), and the mass of an electron is about 9.11 x 10^-31 kg.
To find out how many electrons it would take to equal the mass of a proton, we can set up the following proportion:
(1 electron mass / x) = (1 proton mass / 1)
Simplifying the proportion, we get:
x = (1 proton mass) / (1 electron mass)
Plugging in the respective masses, we get:
x = (1.67 x 10^-27 kg) / (9.11 x 10^-31 kg)
Calculating this, we find that it would take approximately 1836 electrons to equal the mass of a proton.
2) What mass of electrons would be required to just neutralize the charge of 1.0g of protons?
To solve this problem, we need to consider the charge on protons and electrons. Protons have a charge of +1.6 x 10^-19 Coulombs (C), while electrons have a charge of -1.6 x 10^-19 C.
We know that 1 gram of protons has a charge of +1.0 C (Coulombs).
Since the charges need to neutralize, we can set up the following equation:
(mass of electrons in grams) / 1 = (1.0 g of protons) / (1 electron charge)
Rearranging the equation, we get:
mass of electrons in grams = (1.0 g of protons) / (1 electron charge)
Plugging in the values, we have:
mass of electrons in grams = 1.0 g / (1.6 x 10^-19 C)
Calculating this, we find that it would require approximately 6.25 x 10^18 grams of electrons to neutralize the charge of 1.0 gram of protons.
Please note that in the second problem, we assume that the protons and electrons are in isolation and not part of an atomic or molecular system.