Taking into account the Ideal Gas Law, the mass of nitrogen gas collected is 21.1 grams.
Ideal gases are a simplification of real gases that is done to study them more easily. It is considered to be formed by point particles, do not interact with each other and move randomly. It is also considered that the molecules of an ideal gas, in themselves, do not occupy any volume.
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 ideal gas law:
2 atm ×20 L = n×0.082 [tex]\frac{atm L}{molK}[/tex] ×323 K
Solving:
n= (2 atm ×20 L) ÷(0.082 [tex]\frac{atm L}{molK}[/tex] ×323 K)
n= 1.51 moles
Being the molar mass of nitrogen 14 g/mole, that is the amount of mass that a substance contains in one mole, the mass of nitrogen gas collected is calculated as:
[tex]mass of nitrogen gas=1.51 molesx\frac{14 grams}{1 mole}[/tex]
mass of nitrogen gas= 21.1 grams
Finally, the correct answer is option A.: the mass of nitrogen gas collected is 21.1 grams.
Learn more about ideal gas law:
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