Considering the ideal gas law, there are 279.42 moles of acetylene in the tank.
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:
17.4192 atm× 390 L = n×0.082 [tex]\frac{atmL}{molK}[/tex]× 296.5 K
Solving:
[tex]n=\frac{17.4192 atmx 390 L}{0.082 \frac{atmL}{molK}x296.5 L}[/tex]
n= 279.42 moles
Finally, there are 279.42 moles of acetylene in the tank.
Learn more about ideal gas law:
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