The mass of a single uranium atom is 4.70E-22 grams. How many uranium atoms would there be in 339 milligrams of uranium?
(4.70E-22g/1 atom) x # atoms = 0.339 g Solve for #U atoms.
To find the number of uranium atoms in 339 milligrams, we need to use the given mass of a single uranium atom (4.70E-22 grams) and convert the mass of 339 milligrams to grams.
1 milligram (mg) is equal to 0.001 grams. Therefore, 339 milligrams is equal to 339 * 0.001 = 0.339 grams.
Next, we need to find how many uranium atoms are there in 0.339 grams. We'll use the atomic mass of uranium (approximately 238.03 grams/mole) to calculate it.
1 mole of any substance contains Avogadro's number (6.022 x 10^23) of particles. In this case, 1 mole of uranium atoms is equal to 238.03 grams.
Therefore, to find the number of uranium atoms in 0.339 grams, we can set up the following proportion:
(0.339 grams) / (238.03 grams) = x / (6.022 x 10^23 atoms)
Solving for x, we get:
x = (0.339 grams * 6.022 x 10^23 atoms) / 238.03 grams
x ≈ 8.57 x 10^21 atoms
Therefore, there would be approximately 8.57 x 10^21 uranium atoms in 339 milligrams of uranium.
To find the number of uranium atoms in 339 milligrams of uranium, you can follow these steps:
Step 1: Convert milligrams to grams:
1 gram = 1000 milligrams
339 milligrams = 0.339 grams
Step 2: Calculate the number of moles of uranium:
Use the molar mass of uranium to convert grams to moles.
The molar mass of uranium (U) is approximately 238.03 grams/mole.
Number of moles = Mass (in grams) / Molar mass
Number of moles = 0.339 grams / 238.03 grams/mole
Step 3: Calculate the number of uranium atoms:
1 mole of any substance contains 6.02 x 10^23 particles (Avogadro's number).
So, we can use this conversion factor to determine the number of uranium atoms.
Number of uranium atoms = Number of moles x Avogadro's number
Number of uranium atoms = (0.339 grams / 238.03 grams/mole) x (6.02 x 10^23 particles/mole)
Now, let's calculate the result:
Number of uranium atoms = (0.339 / 238.03) x (6.02 x 10^23)
Number of uranium atoms ≈ 8.58652 x 10^20
Therefore, there are approximately 8.58652 x 10^20 uranium atoms in 339 milligrams of uranium.