Solve this problem with detiles step by step.

Nitrogen is contained in a bottle. Initially, the nitrogen is at 42 atm and 130K. The bottle has a volume of 0.02m3. The bottle is then heated until the nitrogen reaches 202K. (a) Can the nitrogen be treated as an ideal gas? Back up your statement with calculations. (b) What is the pressure of the nitrogen after heating? (c) What is the mass of the nitrogen in the bottle