Answer:
D) 20.0 atm
Explanation:
To solve this problem, we can apply 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 the volume of the gas".
Mathematically:
[tex]pV=const[/tex]
where
p is the gas pressure
V is the volume of the gas
The equation can also be rewritten as
[tex]p_1 V_1 = p_2 V_2[/tex]
where in this problem:
[tex]p_1=5.00 atm[/tex] is the initial pressure of the gas
[tex]V_1=100.0 mL[/tex] is the initial volume of the gas
[tex]V_2=25.0 mL[/tex] is the final volume of the gas
Solving for p2, we find the final pressure of the gas:
[tex]p_2 = \frac{p_1 V_1}{V_2}=\frac{(5.00)(100.0)}{25.0}=20.0 atm[/tex]
