Pressure sensor A piston with diameter 1-cm and a frictionless plunger is filled with a diatomic ideal gas. The piston is connected to a gas reservoir ("copper ball"), which is immersed in water, which in turn may be heated. piston Temperature sensor bath copper ball 1. On the diagram, use arrows to indicate all the forces acting on the plunger. hot plate 2. Assuming the piston has a diameter of 1 cm, estimate the external force acting on the piston. 3. As we increase the temperature of the gas in the copper ball from T1 to T2, the piston moves outward, but very slowly. What can you conclude about the pressure of the gas inside the piston (and hence, inside the ball)? is expanding as the temperature is increa that the prossure is constant. Jiven that the volume we ean assum e 4. Make qualitative sketches of P vs. V and P vs. T and V vs. T for this process. T. T. 5. Use the ideal gas law to write an equation for Vpiston, the volume of gas in the piston as a function of the temperature, atmospheric pressure, the volume of the ball VB, and the total number N of molecules in the piston and ball (neglect the connecting tubing), and Boltzmann's constant kB.