Answer:
The final pressure of the gas is 5 liters.
Explanation:
Let suppose that gas experiments an isothermal process and is an ideal gas. Hence, volume is inversely proportional to pressure, that is:
[tex]P_{1}\cdot V_{1} = P_{2}\cdot V_{2}[/tex] (1)
[tex]P_{1}, P_{2}[/tex] - Initial and final pressure, in atmospheres.
[tex]V_{1}, V_{2}[/tex] - Initial and final volume, in liters.
If we know that [tex]P_{1} = 3.50\,atm[/tex], [tex]V_{1} = 2.5\,L[/tex] and [tex]P_{2} = 1.75\,atm[/tex], then the final volume of the gas is:
[tex]V_{2} = \frac{P_{1}}{P_{2}}\cdot V_{1}[/tex]
[tex]V_{2} = 5\,L[/tex]
The final pressure of the gas is 5 liters.
