Question

match the amount with the number.
3.011e23
choose
choose
1.2044e24
3 moles
4 moles
0.333 moles
0.5 moles
2 moles
.25 moles
2.4088e24
1.506e23

Explanation:

Step1: Recall Avogadro's number

Avogadro's number \(N_A = 6.022\times10^{23}\text{ mol}^{-1}\). The formula to find the number of moles \(n\) is \(n=\frac{N}{N_A}\), where \(N\) is the number of particles.

Step2: Calculate moles for \(N = 3.011\times 10^{23}\)

\(n=\frac{3.011\times 10^{23}}{6.022\times 10^{23}\text{ mol}^{-1}} = 0.5\text{ mol}\)

Step3: Calculate moles for \(N = 1.2044\times 10^{24}\)

\(n=\frac{1.2044\times 10^{24}}{6.022\times 10^{23}\text{ mol}^{-1}} = 2\text{ mol}\)

Step4: Calculate moles for \(N = 2.4088\times 10^{24}\)

\(n=\frac{2.4088\times 10^{24}}{6.022\times 10^{23}\text{ mol}^{-1}} = 4\text{ mol}\)

Step5: Calculate moles for \(N = 1.506\times 10^{23}\)

\(n=\frac{1.506\times 10^{23}}{6.022\times 10^{23}\text{ mol}^{-1}}\approx0.25\text{ mol}\)

Answer:

• \(3.011\times 10^{23}\): \(0.5\) moles
• \(1.2044\times 10^{24}\): \(2\) moles
• \(2.4088\times 10^{24}\): \(4\) moles
• \(1.506\times 10^{23}\): \(0.25\) moles