A cylinder contains a fixed mass of gas sealed by a moveable piston.
The volume of the gas is initially 1.8×10−4 m31.8 \times 10^{-4}\text{ m}^31.8×10−4 m3 and its pressure is 2.0×104 Pa2.0 \times 10^4\text{ Pa}2.0×104 Pa. The piston is slowly pushed inside the cylinder, keeping the temperature of the gas constant, until the volume of the gas is reduced to 4.5×10−5 m34.5 \times 10^{-5}\text{ m}^34.5×10−5 m3.
Calculate the new pressure of the gas.
Explain, in terms of the behavior of gas particles, why the pressure inside the cylinder increases as the volume is decreased.