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Ammonia gas has a molar mass of approximately 13 grams per mole. At 260K and 2.6 atm, a sample of ammonia has a volume of 2.5 L. In three to five sentences, explain how you can find the mass of the ammonia. Then, given R= 0.0821L⋅atm/mol⋅K, calculate the mass.

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Eduard22sly

The mass of the ammonia, given that the sample of the ammonia has a volume of 2.5 L is 3.965 g

How do I determine the mass of the ammonia?

First, we shall obtain the number of mole of the ammonia. Details below:

  • Temperature (T) = 260 K
  • Pressure (P) = 2.6 atm
  • Volume (V) = 2.5 L
  • Gas constant (R) = 0.0821 atm.L/Kmol
  • Number of mole (n) =?

PV = nRT

Divide both sides by RT

n = PV / RT

n = (2.6 × 2.5) / (0.0821 × 260)

n = 0.305 mole

Now, we shall determine the mass of the ammonia. Details below:

  • Mole of ammonia = 0.305 moles
  • Molar mass of ammonia = 13 g/mol
  • Mass of ammonia =?

Mole = mass / molar mass

Cross multiply

Mass = Mole × molar mass

Mass of ammonia = 0.305 × 13

Mass of ammonia = 3.965 g

Thus, we can conclude that the mass of the ammonia is 3.965 g

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