Some gas is trapped in a large syringe by a piston. the atmospheric pressure is 100kpa. the pressure gauge indicates that the gas pressure is 200kpa above atmospheric pressure. the piston moves outwards and the volume of the trapped gas doubles. the temperature remains constant. what is the new gas pressure

An alpha particle with kinetic energy 12.5 mev makes a collision with lead nucleus, but it is not "aimed" at the center of the lead nucleus, and has an initial nonzero angular momentum (with respect to the stationary lead nucleus) of magnitude l = p0 b, where p0 is the magnitude of the initial momentum of the alpha particle and b=1.40×10−12 m. (assume that the lead nucleus remains stationary and that it may be treated as a point charge. the atomic number of lead is 82. the alpha particle is a helium nucleus, with atomic number 2.) what is the distance of closest approach?