Answer:
7.20 atm
Explanation:
Since the gas remains at constant temperature, we can solve this problem by using Boyle's Law, which states that:
"For a constant mass of an ideal gas kept at constant temperature, the pressure of the gas is inversely proportional to its volume"
Mathematically:
[tex]p\propto \frac{1}{V}[/tex]
where
p is the pressure of the gas
V is the volume
The equation can be also rewritten as:
[tex]p_1 V_1 = p_2 V_2[/tex]
where in this problem, we have:
[tex]p_1=2.82 atm[/tex] is the initial pressure of the gas
[tex]V_1=7 L[/tex] is the initial volume of the gas
[tex]V_2=2.74 L[/tex] is the final volume of the gas
Solving for p2, we find the final pressure:
[tex]p_2=\frac{p_1 V_1}{V_2}=\frac{(2.82)(7)}{2.74}=7.20 atm[/tex]
