Thermodynamics: At a temperature of 15 C there is 3 bar pressure left in a bicycle wheel. It gets pumped up with a bicycle pump (Length: 48 cm, cross-section surface: 5 cm^2). The air is treated as an ideal gas, so pV = nRT can be used. a) How many particles go through the pump using the pump once at 1 bar b) How far do you need to press the pump (how many of the 48 cm are needed) to reach 3 bar pressure within the pump at constant temperature? c) Calculate the amount of work that is needed to compress the air from the 1 bar to 3 bar? d) In which forms of energy gets the work transformed? e) Calculate the amount of work that is needed to press the compressed air (3 bar) against the 3 bar within the wheel. If not everything can be answered, its okay :) Thanks a lot! Pls with a bit explanation :)