Certainly! Let's understand how to determine Avogadro's number. Avogadro's number is the number of atoms, ions, or molecules in one mole of a substance. This number is essential in chemistry for converting between the mass of a substance and the number of constituent particles.
According to the answer we have:
```
602000000000000000000000
```
To simplify this number, we can express it in scientific notation. Scientific notation is a way of expressing very large or very small numbers in a more concise form.
1. Count the number of digits in the given number to place the decimal point correctly:
- The number "602000000000000000000000" has 24 digits.
2. Place the decimal immediately after the first digit to convert it into scientific notation:
- This gives us `6.02`.
3. Determine the exponent (which tells us how many places we moved the decimal point):
- Since the decimal was moved 23 places to the left, the exponent is 23.
As a result, the given number "602000000000000000000000" can be written in scientific notation as:
[tex]\[
6.02 \times 10^{23}
\][/tex]
Now we can compare this with the given options:
A. [tex]$6.02 \times 10^{-23}$[/tex] - Here, the exponent is negative 23 which is clearly not correct as we have a very large number.
B. [tex]$6.02 \times 10$[/tex] - This is just 60.2, which again doesn't match our large value.
C. [tex]$6.02 \times 10^{23}$[/tex] - This matches perfectly with our value in scientific notation.
D. 6.0223 - This is a small number closer to 6, which is incorrect.
Therefore, the correct choice is:
C. [tex]$6.02 \times 10^{23}$[/tex]
