The cylinder in FIGURE Q18.4 is divided into two compartments by a frictionless piston that can slide back and forth. If the piston is in equilibrium, is the pressure on the left side greater than, less than, or equal to the pressure on the right? Explain.
As Force and Cross Sectional Area is same on either sides of the Piston, thus the pressure is same on Both Sides of the Piston from the two compartments.
An amount of force that is applied on a per unit area is known as Pressure. Under the circumstances of Equilibrium Condition, the amount of Net Force that is present on the Piston that is acting as a barrier between the two compartments is zero.
The Formula of Pressure is:
where, is Force and is cross sectional Area.
As per the laws of Equilibrium, in case the frictionless Piston is in Equilibrium Condition, the net force that is present on the Piston is equal to Zero. This means that the amount of pressure that is being enforced on the Piston from the Left Side Compartment is equal in magnitude to the amount of pressure that is being enforced on the Piston from the Right Side Compartment. From the provided image in the question ( FIGURE Q18.4 ), it is clear that the cross sectional area of the Piston is equal on both the sides that it is sharing with the two compartments. Thus, it can be concluded that, Force and Cross Sectional Area is equal on both sides of the Piston and so pressure is same on the left and right side of the Piston.
A diving bell is a -tall cylinder closed at the upper end but open at the lower end. The temperature of the air in the bell is . The bell is lowered into the ocean until its lower end is deep. The temperature at that depth is .
a. How high does the water rise in the bell after enough time has passed for the air inside to reach thermal equilibrium?
b. A compressed-air hose from the surface is used to expel all the water from the bell. What minimum air pressure is needed to do this?
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