A sample of an ideal gas inside a pneumatic actuator is initially at a temperature of 15 ∘C15\ ^\circ\text{C}15 ∘C. During a rapid stroke, the gas is compressed to one-fifth of its original volume, causing its absolute pressure to increase by a factor of 7.57.57.5.
What is the new temperature of the gas?
22.5 ∘C22.5\ ^\circ\text{C}22.5 ∘C
159 ∘C159\ ^\circ\text{C}159 ∘C
432 ∘C432\ ^\circ\text{C}432 ∘C
1167 ∘C1167\ ^\circ\text{C}1167 ∘C
