The ideal gas law relates the pressure P , volume V , and temperature T of a fixed number of molecules of a gas in a container via: PV= nRT where R =.082 is constant, using pressure units atm , volume units L , and temperature units K . Suppose there are a fixed amount n =12 moles of oxygen in a container. Determine the rate at which the pressure is changing when the pressure is 4.1 atm and the temperature is 22.5K , if the volume is being decreased by 0.3 L/s and the temperature is being increased by 0.06 K/s.

You drop a rubber ball off the roof of a 50 meter high building onto a paved parking lot. it bounces back up with every bounce, but not quite all the way back up to you. after the first bounce it bounces back only 80 percent of the distance it was dropped from. the pattern continues, meaning after every bounce it comes up to just 80 percent of the previous maximum height. so if before the first bounce the height is 50 meters, what height does the ball reach after the fifth bounce? round your answer to one decimal place and chose the correct response from the choices below: