Question

8.77 moles × (6.022 × 10²³ sodium ions) / 1 mole =

Explanation:

Step1: Identify the operation

We need to multiply 8.77 moles by the conversion factor \(\frac{6.022\times10^{23}\text{ sodium ions}}{1\text{ mole}}\). The moles unit will cancel out, leaving us with the number of sodium ions.

Step2: Perform the multiplication

Calculate \(8.77\times6.022\times10^{23}\). First, multiply 8.77 and 6.022: \(8.77\times6.022 = 52.81394\). Then, multiply by \(10^{23}\): \(52.81394\times10^{23}=5.281394\times10^{24}\) (in scientific notation, we adjust the decimal to have one non - zero digit before the decimal point).

Answer:

\(5.28\times10^{24}\) (or \(5.281394\times10^{24}\)) sodium ions (the answer can be rounded to an appropriate number of significant figures, here 8.77 has three significant figures and 6.022 has four, so we can present it as \(5.28\times10^{24}\) or keep more decimal places as \(5.281\times10^{24}\) etc.)