Final answer:
To calculate the mass of ammonia containing a billion hydrogen atoms, divide the number of hydrogen atoms by Avogadro's number and the number of hydrogen atoms in one molecule of ammonia. Then, multiply the moles of ammonia by its molar mass to determine the mass of ammonia.
Step-by-step explanation:
To calculate the mass of ammonia that contains a billion hydrogen atoms, we need to know the molar mass of ammonia and use Avogadro's number. The molar mass of ammonia (NH3) is approximately 17 grams/mol. Avogadro's number states that one mole of a substance contains 6.022 x 10^23 particles. Since there are three hydrogen atoms in one molecule of ammonia, to calculate the mass of ammonia containing a billion hydrogen atoms, we'll need:
- Calculate the number of moles of hydrogen atoms in one billion hydrogen atoms: (1 billion / (6.022 x 10^23)) / 3 = approximately 55.55 x 10^-4 moles
- Calculate the mass of ammonia using the molar mass: 55.55 x 10^-4 moles x 17 grams/mol = approximately 9.44 x 10^-3 grams