A firearm can be modeled as a kind of heat engine, where the projectile acts as a piston that separates from the rest of the system during expansion. Consider a gun with a 1.60 kg barrel made of iron [specific heat = 448 J/(kg⋅∘C)]. The gun fires a 3.40 g bullet that exits the barrel with a speed of 340 m/s. When the propellant is ignited, 1.10% of the energy released goes into propelling the bullet (this is the thermal efficiency of the "engine"). The other 98.9% can be approximated as being entirely absorbed by the barrel, which increases in temperature uniformly for a short time before this energy is dissipated into the surroundings. What is this temperature increase (in ∘C)? (Round your answer to at least one decimal place.) ∘C
![A firearm can be modeled as a kind of heat engine, where the projectile acts as a piston that separates from the rest of the system during expansion. Consider a gun with a 1.60 kg barrel made of iron [specific heat = 448 J/(kg⋅∘C)]. The gun fires a 3.40 g bullet that exits the barrel with a speed of 340 m/s. When the propellant is ignited, 1.10% of the energy released goes into propelling the bullet (this is the thermal efficiency of the "engine"). The other 98.9% can be approximated as being entirely absorbed by the barrel, which increases in temperature uniformly for a short time before this energy is dissipated into the surroundings. What is this temperature increase (in ∘C)? (Round your answer to at least one decimal place.) ∘C](https://www.doubtrix.com/uploads/editor/3573972417MJHpmUZauf.png)
