The new pressure will be : 25 atm
Boyle's Law
At a constant temperature, the gas volume is inversely proportional to the pressure applied
[tex]\rm p_1V_1=p_2.V_2\\\\\dfrac{p_1}{p_2}=\dfrac{V_2}{V_1}[/tex]
P₁=15 atm
V₁=5 L
V₂= 3 L
[tex]\tt P_2=\dfrac{P_1.V_1}{V_2}\\\\P_1=\dfrac{15~atm\times 5~L}{3~L}\\\\P_1=\boxed{\bold{25~atm}}[/tex]