Final answer:
To calculate the mass of ammonia NH3 that contains 1.0x10^9 hydrogen atoms, divide the number of atoms by Avogadro's number and multiply by the molar mass of NH3.
Step-by-step explanation:
To calculate the mass of ammonia NH3 that contains 1.0x109 hydrogen atoms, we can use the conversion factor between the number of atoms and the molar mass of NH3. From the formula, we know that one molecule of NH3 has three H atoms. Therefore, the formula mass of NH3 is 17 grams. To find the mass of NH3 that contains 1.0x109 hydrogen atoms, we divide the number of atoms by Avogadro's number (6.022x1023), and then multiply by the molar mass:
(1.0x109 atoms H / 3) x (17 g NH3 / 6.022x1023 atoms NH3) = 94.11 grams