Suppose that an insulating container of air at room temperature and standard pressure is initially traveling at a speed v0 (perhaps in a car). We bring the container suddenly to rest. Assume that the air’s center-of-mass kinetic energy gets converted entirely to thermal energy in this process. (a) What is the air’s change in temperature ΔT in terms of kB, v0, and the average mass of an air molecule m? Determine such a relationship. (b) If v0 = 44 m / s, what is the numerical value of ΔT? The numerical value of ΔT is ______K.

Suppose that an insulating container of air at room temperature and standard pressure is initially traveling at a speed v0 (perhaps in a car). We bring the container suddenly to rest. Assume that the air’s center-of-mass kinetic energy gets converted entirely to thermal energy in this process. (a) What is the air’s change in temperature ΔT in terms of kB, v0, and the average mass of an air molecule m? Determine such a relationship. (b) If v0 = 44 m / s, what is the numerical value of ΔT? The numerical value of ΔT is ______K.