Final answer:
The work done in one stroke and the average force exerted on the piston can be calculated using equations involving pressure, area, and distance. Neglecting friction and gravitational force, the average force exerted on the piston would be equal to the calculated force.
Step-by-step explanation:
To calculate the work done in one stroke, we can use the formula:
Work = Force x Distance
Given that the average gauge pressure is 2.4 x 105 N/m² and the diameter of the piston is 2.50 cm (or 0.025 m), we can find the force using the formula:
Force = Pressure x Area
Since the area of a circle is given by the formula Area = πr² and the radius is half of the diameter, we can substitute the values and calculate the force. Finally, we can substitute the force and distance values into the work formula to find the work done in one stroke.
Neglecting friction and gravitational force, the average force exerted on the piston would be equal to the force calculated in the previous step.