# How many molecules are in 17 amu of ammonia, #NH_3#?

Well the mass of

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To determine the number of molecules in 17 amu (atomic mass units) of ammonia (NH₃), we need to use Avogadro's number, which is approximately 6.022 x 10²³ molecules/mol.

First, we calculate the molar mass of ammonia (NH₃): Nitrogen (N): 1 atom x 14.01 amu = 14.01 amu Hydrogen (H): 3 atoms x 1.008 amu = 3.024 amu

Total molar mass of NH₃ = 14.01 amu + 3.024 amu = 17.034 amu

Next, we divide the given mass (17 amu) by the molar mass of NH₃ to find the number of moles: Number of moles = 17 amu / 17.034 amu/mol ≈ 0.997 moles

Finally, we use Avogadro's number to convert moles to molecules: Number of molecules = 0.997 moles x (6.022 x 10²³ molecules/mol) ≈ 6.01 x 10²³ molecules.

Therefore, there are approximately 6.01 x 10²³ molecules in 17 amu of ammonia (NH₃).

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To find the number of molecules in 17 amu of ammonia (NH3), we first calculate the molar mass of NH3, which is approximately 17.03 g/mol. Then, we use Avogadro's number, which is (6.022 \times 10^{23}) molecules/mol, to convert grams to molecules. Finally, we use the molar mass of NH3 to convert amu to grams, and then use Avogadro's number to convert grams to molecules.

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