A metal piston is placed in the top of a cylinder containing a gas and a liquid, as shown in the figure below, compressing the gas. Assume that the interface between the piston-cylinder is frictionless and forms a perfect seal so that none of the gas can escape. (a) Derive the equation for the absolute pressure of the gas. Identify each variable and use the subscripts P, G, and L to variables specific the cylinder, gas or liquid. State any and all assumptions. (b) Calculate the absolute pressure of the gas (in kPa) for the case where the disc is made of copper, the gas is air, the liquid is water, the diameter of the cylinder is 10cm and the height of the piston is 3cm. Values for needed constants can be found in Chapter 1 of your text, along with Tables A-1 and A-3. piston

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
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A metal piston is placed in the top of a cylinder containing a gas and a liquid, as shown in the
figure below, compressing the gas. Assume that the interface between the piston-cylinder is
frictionless and forms a perfect seal so that none of the gas can escape.
(a) Derive the equation for the absolute pressure of the gas. Identify each variable and use
the subscripts P, G, and L to variables specific the cylinder, gas or liquid. State any and
all assumptions.
(b) Calculate the absolute pressure of the gas (in kPa) for the case where the disc is made of
copper, the gas is air, the liquid is water, the diameter of the cylinder is 10cm and the
height of the piston is 3cm. Values for needed constants can be found in Chapter 1 of
your text, along with Tables A-1 and A-3.
piston
gas
liquid
piston
gas
liquid
Transcribed Image Text:A metal piston is placed in the top of a cylinder containing a gas and a liquid, as shown in the figure below, compressing the gas. Assume that the interface between the piston-cylinder is frictionless and forms a perfect seal so that none of the gas can escape. (a) Derive the equation for the absolute pressure of the gas. Identify each variable and use the subscripts P, G, and L to variables specific the cylinder, gas or liquid. State any and all assumptions. (b) Calculate the absolute pressure of the gas (in kPa) for the case where the disc is made of copper, the gas is air, the liquid is water, the diameter of the cylinder is 10cm and the height of the piston is 3cm. Values for needed constants can be found in Chapter 1 of your text, along with Tables A-1 and A-3. piston gas liquid piston gas liquid
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