Question

how many grams are in 6.02 x 10^{24} molecules of hydrogen, h_2? molar mass of h_2 = 2.02 g/mol 1 mole = 6.02 x 10^{23} molecules 2.98 x 10^{24} g h_2 20.2 g h_2 10.0 g h_2 1.22 x 10^{25} g h_2

Explanation:

Step1: Calculate the number of moles

Use the formula \(n=\frac{N}{N_A}\), where \(N = 6.02\times10^{24}\) molecules and \(N_A=6.02\times 10^{23}\text{ molecules/mol}\).

$$n=\frac{6.02\times 10^{24}}{6.02\times 10^{23}} = 10\text{ mol}$$

Step2: Calculate the mass

Use the formula \(m=n\times M\), where \(n = 10\text{ mol}\) and \(M = 2.02\text{ g/mol}\).

$$m=10\times2.02=20.2\text{ g}$$

Answer:

\(20.2\text{ g H}_2\)