The reaction of solid dimethylhydrazine, (CH₃)₂N₂H₂, and liquefied dinitrogen tetroxide, N₂O₄, has been investigated as a rocket fuel; the reaction produces gaseous carbon dioxide (CO₂), nitrogen (N₂), and water vapor (H₂O), which are ejected as exhaust gases. In a controlled experiment, solid dimethylhydrazine reacted with excess nitrogen tetroxide and the gaseous products were collected in a closed vessel until a pressure of 2.50 atm and a temperature of 400.0 K were reached.

(a) What are the partial pressures of CO₂, N₂, and H₂O?

(b) When the CO₂ is removed by chemical reaction, what are the partial pressures of the remaining gases?