The final pressure of the nitrogen gas with the increase in volume is 2.91 atm.
Boyle’s law is a gas law that states that the pressure exerted by a gas (of a given mass, kept at a constant temperature) is inversely proportional to the volume occupied by it.
The relation can be given as:
[tex]P_1V_1=P_2V_2[/tex]
The initial pressure of the gas, [tex]P_1[/tex] = 3.72 atm
The initial volume of the gas, [tex]V_1[/tex] = 8.56L
The final volume of the gas, [tex]V_2[/tex] = 10.94 L
Substituting the values, the final pressure [tex]P_2[/tex] is given as:
3.72 × 8.56 = [tex]P_2[/tex] × 10.94
[tex]P_2 =\frac{3.72 * 8.56}{10.94} \\\\P_2 =2.91 atm[/tex]
Therefore, the final pressure of the nitrogen gas with the increase in volume is 2.91 atm.
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