Consider a tall vertical cylindrical container of height \"H\" at atmoshpheric p

Question

Consider a tall vertical cylindrical container of height "H" at atmoshpheric pressure. A precisly fitted plug is dropped into the cylinder and falls - compressing the air. After a bried period of oscillation the plug settles to a height "h." Assume the air behaves as an ideal gas and all this takes place at a constant temperature.

a) Write an expression for the new value of the pressure in the cylinder as a function of "H" and "h"

b) Assuming h=H/2 and that the radius of the cylinder is 5 inches, what is the weight of the plug?

Explanation / Answer

for weight of the plug

p1v1=p2v2

so p2=2atm

mg=101325*2*3.141*(5*2.54*10^-2)^2=10266.49 N

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