1. Given: N_(2(g)) P_(2):992kPa V_(1):68.4L V_(2):98.438L

To solve this problem, we can use the ideal gas law equation: where:- is the pressure,- is the volume,- is the number of moles,- is the ideal gas constant,- is the temperature.Given:- \( N_{2(g)} \) (Nitrogen gas)- - - We need to find the relationship between the initial and final states of the gas.Using the ideal gas law for both states: Since the number of moles and the gas constant are the same for both states, we can equate the two equations: Substitute the given values: Solve for : So, the initial pressure is approximately 1440.6 kPa.