The size of a hydrogen atom is about 1.2 x 10^-10 m across. The size of an oxygen atom is 0.000000000152 m across. What is the difference between the sizes of these atoms in scientific notation?
1. 3.2 x 10^-11 m
2. 2.72 x 10^-10 m
3. 3.2 x 10^-10 m
4. 3.2 x 10^-9 m
To find the difference between the sizes of the atoms, subtract the size of the hydrogen atom from the size of the oxygen atom:
0.000000000152 m - 1.2 x 10^-10 m = 0.000000000152 m - 0.00000000012 m = 0.000000000032 m = 3.2 x 10^-11 m
Therefore, the difference between the sizes of these atoms in scientific notation is 3.2 x 10^-11 m. The correct answer is 1. 3.2 x 10^-11 m.
To find the difference between the sizes of these atoms, we subtract the size of the hydrogen atom from the size of the oxygen atom:
0.000000000152 m - 1.2 x 10^-10 m
To subtract these values, we need to convert the size of the hydrogen atom to the same unit as the oxygen atom:
1.2 x 10^-10 m = 0.00000000012 m
Now, we can subtract:
0.000000000152 m - 0.00000000012 m = 0.000000000032 m
In scientific notation, this is expressed as 3.2 x 10^-11 m.
Therefore, the correct answer is option 1: 3.2 x 10^-11 m.
To find the difference between the sizes of the hydrogen and oxygen atoms, we need to subtract the size of the hydrogen atom from the size of the oxygen atom.
The size of the hydrogen atom is 1.2 x 10^-10 m, and the size of the oxygen atom is 0.000000000152 m, which can be written in scientific notation as 1.52 x 10^-10 m.
Subtracting the size of the hydrogen atom from the size of the oxygen atom gives us:
1.52 x 10^-10 m - 1.2 x 10^-10 m = 0.32 x 10^-10 m
Since 0.32 can be written as 3.2 x 10^-1 (moving the decimal point one place to the left), the difference in the sizes of the atoms can be expressed in scientific notation as 3.2 x 10^-1 x 10^-10 m. Simplifying the exponents by adding them gives us:
3.2 x 10^(-1 - 10) m = 3.2 x 10^-11 m
Therefore, the difference between the sizes of the hydrogen and oxygen atoms is 3.2 x 10^-11 m, option 1.