In the virtual lab demo, a student adds particles to a container. While the temperature is held constant, the initial volume of the container is 10.0 nm. The pressure fluctuates around what amount? P₁ (the initial pressure value, which is not provided in the prompt).
When the container volume is changed to half its volume (5.0 nm), the pressure increases to twice the initial pressure amount. The new pressure is now about: 2P₁ (where P₁ is the initial pressure value).
This is based on Boyle's Law, which states that for a given mass of gas at a constant temperature, the pressure of the gas is inversely proportional to its volume: \( P_1V_1 = P_2V_2 \). Thus, if the volume is halved, the pressure doubles.