An atom of uranium-235 has a mass 235.043924 amu (atomic mass units). Using scientific notation, state the mass in amu of ten million such atoms.
=2.35x10^8
235.043924 x 1 x 10^7=2.35x10^9
2.35 x 10^9
To find the mass in atomic mass units (amu) of ten million uranium-235 atoms, follow these steps:
Step 1: Determine the mass of one uranium-235 atom
The given mass of one uranium-235 atom is 235.043924 amu.
Step 2: Find the mass of ten million uranium-235 atoms
To find the mass of ten million uranium-235 atoms, multiply the mass of one uranium-235 atom by ten million:
Mass of ten million uranium-235 atoms = (235.043924 amu) x (10,000,000)
Step 3: Simplify the result using scientific notation
To express the value in scientific notation, convert it into the format: A x 10^B, where 1 ≤ A < 10 and B is an integer.
To do this, we need to find how many places we need to move the decimal point to obtain a value between 1 and 10.
In the given expression, we have:
(235.043924 amu) x (10,000,000)
= 2,350,439,240 amu
Since the decimal point is after the last zero, we need to move it 9 places to the left to get a value between 1 and 10.
Therefore, the mass of ten million uranium-235 atoms in scientific notation is:
2.35043924 x 10^9 amu