A 0.40 caliber pistol is loaded with a cartridge containing 3.2 grains of propellant (energy listed as 3000J/g) and a bullet that weighs 100.0 grains. Assume that the propellant's chemical energy is converted to kinetic energy with 30% efficiency with an accompanying loss of heat to the barrel of the gun corresponding to 28% of the chemical energy. Your tasks: a) Estimate the muzzle velocity of the bullet. b) Estimate how much hotter the barrel would get after one shot. Assume the barrel weighs 13.3 oz and the steel's heat capacity is 0.12 kcal/(kg C)