Question In chemistry class, Carlos calculated the number of molecules in 100 moles. The calculator displayed the number 6.02E25. What is the number of molecules in 100 moles in scientific notation?

1 answer

To calculate the number of molecules in 100 moles, we use Avogadro's number, which is approximately \(6.02 \times 10^{23}\) molecules/mole. Therefore, to find the total number of molecules in 100 moles, we can multiply Avogadro's number by 100:

\[ 100 , \text{moles} \times 6.02 \times 10^{23} , \text{molecules/mole} = 602 \times 10^{23} , \text{molecules} \]

Now, we can express \(602\) in scientific notation.

The number \(602\) can be written as \(6.02 \times 10^2\). Therefore:

\[ 602 \times 10^{23} = 6.02 \times 10^2 \times 10^{23} = 6.02 \times 10^{25} \]

Thus, the number of molecules in 100 moles in scientific notation is:

\[ \boxed{6.02 \times 10^{25}} \]