A high-precision gas syringe contains a fixed mass of nitrogen gas sealed by an airtight, low-friction plunger.
The volume of the gas is initially 2.5×10−5 m32.5 \times 10^{-5}\text{ m}^32.5×10−5 m3 and its pressure is 1.2×105 Pa1.2 \times 10^5\text{ Pa}1.2×105 Pa. The plunger is slowly depressed, keeping the temperature of the gas constant, until the volume of the gas is reduced to 5.0×10−6 m35.0 \times 10^{-6}\text{ m}^35.0×10−6 m3.
Calculate the final pressure of the gas.
Explain, in terms of the behavior of gas particles, why the pressure inside the syringe increases as the volume is decreased.