Considering the ideal gas law, the pressure of the gas sample is 122.18 atm.
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 ideal gas law:
P×0.5 L = 2.50 moles ×0.082 [tex]\frac{atm L}{mol K}[/tex] ×298 K
Solving:
P= (2.50 moles ×0.082 [tex]\frac{atm L}{mol K}[/tex] ×298 K)÷ 0.5 L
P= 122.18 atm
Finally, the pressure of the gas sample is 122.18 atm.
Learn more about the ideal gas law:
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