Question

As shown in the figure, a sealed cylinder of ideal gas is divided into two parts...

As shown in the figure, a sealed cylinder of ideal gas is divided into two parts by a piston that can move up and down without friction. There is ideal gas in both parts, but the gas from one part is isolated from that in the other part by the piston. The volume occupied by the gas in the lower part is twice that occupied by the gas in the upper part, while the temperature is the same in both parts. The pressure in the upper part is 4000 Pa, and the weight of the piston is 60.0 N. The piston is in its equilibrium position. The cross-sectional area of the cylinder is 100 cm^2.

Calculate the pressure of the gas in the lower part of the cylinder.
_______ Pa

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Part (b

As shown in the figure, a sealed cylinder of ideal gas is divided into two parts by a piston that can move up and down without friction. There is ideal gas in both parts, but the gas from one part is isolated from that in the other part by the piston. The volume occupied by the gas in the lower part is twice that occupied by the gas in the upper part, while the temperature is the same in both parts. The pressure in the upper part is 4000 Pa, and the weight of the piston is 60.0 N. The piston is in its equilibrium position. The cross-sectional area of the cylinder is 100 cm^2.

Calculate the ratio of the number of moles of gas in the lower part to the number of moles in the upper part. (Just state this as one number. For instance, if the ratio is 2.54:1, you would state that as 2.54.)
_______

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Answer #1

This problem en. Let volume of gas in upper part = v volume of gas in lower part = 2V Pressure in upper part (P) = 4000Pa. weight of Pistois based on force euillibrium as explained below...

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