Respuesta :
The pressure needed to change the volume to 24 L is 0.796 atm.
Explanation:
It is known by Boyle's law that the pressure experienced by the gas molecules will be inversely proportional to the volume occupied by the molecules.
[tex]P =\frac{1}{V}[/tex]
So as the initial volume is said to be 22.4 L, consider it as V₁ = 22.4 L. Then the initial pressure is said to be 0.853 atm, so P₁ = 0.853 atm. So we have to determine the new pressure P₂ when the volume is changed to V₂ = 24 L. As there is increase in the volume, the pressure should be decreased due to Boyle's law. Thus, as per Boyle's law, the two pressures and their volumes can be related as
[tex]P_{1} V_{1} = P_{2} V_{2}[/tex]
[tex]0.853*22.4 = P_{2}*24\\\\P_{2} = \frac{0.853*22.4}{24} = 0.796 atm[/tex]
Thus, the pressure gets decreased to 0.796 atm on increase in the volume to 24 L.
So the pressure needed to change the volume to 24 L is 0.796 atm.
