Considering the definition of ideal gas law, a pressure of 1.5 atm is required to achieve a CO₂ concentration of 0.0620 mol L⁻¹ at 20°C.
An ideal gas is a theoretical gas that is considered to be composed of point particles that move randomly and 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 the gases:
P×V = n×R×T
So the pressure is calculated as:
[tex]P=\frac{n}{V}xRxT[/tex]
In this case, you know:
Replacing:
P=0.0620 [tex]\frac{mol}{L}[/tex]× 0.082 [tex]\frac{atmL}{molK}[/tex]× 293 K
Solving:
P= 1.489612 atm≅ 1.5 atm
Finally, a pressure of 1.5 atm is required to achieve a CO₂ concentration of 0.0620 mol L⁻¹ at 20°C.
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