A sub-sea exploration probe uses a sealed, fixed-volume expansion chamber containing nitrogen gas to manage internal pressure balances.
The nitrogen gas in the chamber is heated by an electric element, increasing its temperature while the volume of the chamber is kept constant. Explain, in terms of gas molecules, why the pressure on the walls of the chamber increases.
State the equation linking pressure, force, and area.
The heated gas reaches a pressure of 2.45 MPa2.45 \text{ MPa}2.45 MPa. The chamber's movable sealing piston has a cross-sectional area of 0.00750 m20.00750 \text{ m}^20.00750 m2. Calculate the force exerted by the gas on the piston.