Determine the number of hydrogen molecules if its mass in the cylinder is 400 g.
September 29, 2021 | education
| Determine the number of hydrogen molecules if its mass in the cylinder is 400 g. The molar mass of hydrogen molecules is 2 g / mol.
The number of hydrogen atoms can be calculated using the formula:
N = υ * Na, where υ is the amount of substance (mol), Na is Avogadro’s number (Na = 6 * 10 ^ 23 mol ^ -1).
Amount of substance:
υ = m / M, where m is the mass of hydrogen (m = 400 g = 0.4 kg), M is the molar mass of hydrogen (M = 2 g / mol = 0.002 kg / mol).
Let’s calculate the number of hydrogen atoms:
N = υ * Na = m * Na / M = (0.4 * 6 * 10 ^ 23) / 0.002 = 1200 * 10 ^ 23 = 1.2 * 10 ^ 26.
Answer: The number of hydrogen atoms is 1.2 * 10 ^ 26.
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