Considering the ideal gas law, the mass of ammonia is 5.321 grams.
An ideal gas is a theoretical gas that is considered to be composed of randomly moving point particles that do not interact with each other. Gases in general are ideal when they are at high temperatures and low pressures.
An ideal gas is characterized by three state variables: absolute pressure (P), volume (V), and absolute temperature (T). The relationship between them constitutes the ideal gas law, an equation that relates the three variables if the amount of substance, number of moles n, remains constant and where R is the molar constant of gases:
P×V = n×R×T
In this case, you know:
Replacing in the definion of ideal gas law:
2.55 arm× 3 L = n×0.082 [tex]\frac{atmL}{molK}[/tex]× 298 K
Solving:
n= (2.55 arm× 3 L)÷ (0.082 [tex]\frac{atmL}{molK}[/tex]× 298 K)
n= 0.313 moles
Being the molar mass of ammonia 17 g/mole, the mass can be calculated as:
mass of ammonia= 0.313 moles× 17 g/mole
Solving:
mass ammonia= 5.321 g
Finally, the mass of ammonia is 5.321 grams.
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