Ammonia has a molar mass of approximately 17 grams per mole. At 290k and 1.2 atm, a sample of ammonia has a volume of 3.7 L. In three to five sentences, explain how you can the find the mass of the ammonia.

Answer 1

To find the mass of ammonia in the given conditions, you can use the Ideal Gas Law, which is expressed as \( PV = nRT \). First, rearrange the equation to solve for the number of moles (\( n \)):

\[ n = \frac{PV}{RT} \]

Here, \( P \) is the pressure (1.2 atm), \( V \) is the volume (3.7 L), \( R \) is the ideal gas constant (0.0821 L·atm/(K·mol)), and \( T \) is the temperature in Kelvin (290 K). After calculating \( n \), multiply the number of moles by the molar mass of ammonia (approximately 17 g/mol) to find the mass. The final equation will look like:

\[ \text{mass} = n \times \text{molar mass} \]