Final answer:
When an additional mole of nitrogen gas is added to a cylinder while maintaining constant temperature and volume, the pressure in the cylinder will double according to the Ideal Gas Law.
Step-by-step explanation:
The student has asked what will happen to the pressure if another mole of gas is added to a cylinder containing 1 mole of nitrogen gas, keeping the temperature and volume constant. According to the Ideal Gas Law (PV=nRT), where P is the pressure, V is the volume, n is the number of moles, R is the ideal gas constant, and T is the temperature, if we add another mole of gas without changing the volume (V) or temperature (T), the pressure (P) must double.
This is because the pressure of a gas is directly proportional to the number of moles (n) when volume and temperature are held constant. Therefore, when adding another mole of gas to the container, the pressure will increase to twice its original value, assuming the gas behaves ideally. In the Ideal Gas Law equation, everything except for 'n' and 'P' is held constant, making it a straightforward application of the law.