Question

A piston and cylinder assembly with a piston radius of 0.250 m contains 12.5 mol of an ideal gas with CV,m = 3R/2 at 298 K. The assembly is surrounded by air at a pressure of 1.00 bar. The cylinder axis is vertical, and the piston is oriented upward as in Figure 2.1. The system is at equilibrium when the length of the cylinder filled with gas is 0.750 m. a. Calculate the mass of the piston. b. Calculate the distance the piston moves if the temperature of the gas is increased to 750. K. c. Calculate the work done by the piston and cylinder assembly on the surroundings.

          A piston and cylinder assembly with a piston radius of 0.250 m contains 12.5 mol of an ideal gas with CV,m = 3R/2 at 298 K. The assembly is surrounded by air at a pressure of 1.00 bar. The cylinder axis is vertical, and the piston is oriented upward as in Figure 2.1. The system is at equilibrium when the length of the cylinder filled with gas is 0.750 m.
a. Calculate the mass of the piston.
b. Calculate the distance the piston moves if the temperature of the gas is increased to 750. K.
c. Calculate the work done by the piston and cylinder assembly on the surroundings.

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A piston and cylinder assembly with a piston radius of 0.250 m contains 12.5 mol of an ideal gas with CV,m = 3R/2 at 298 K. The assembly is surrounded by air at a pressure of 1.00 bar. The cylinder axis is vertical, and the piston is oriented upward as in Figure 2.1. The system is at equilibrium when the length of the cylinder filled with gas is 0.750 m.
a. Calculate the mass of the piston.
b. Calculate the distance the piston moves if the temperature of the gas is increased to 750. K.
c. Calculate the work done by the piston and cylinder assembly on the surroundings.

Added by Christina J.

University Physics with Modern Physics

Hugh D. Young 14th Edition

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Solved by Expert Penny Riley

08/18/2022

Step 1

- Given: - Number of moles (\(n\)) = 12.5 mol - Temperature (\(T\)) = 298 K - Volume (\(V\)) = \(\pi r^2 h\) where \(r = 0.250\) m and \(h = 0.750\) m - Ideal gas constant (\(R\)) = 8.314 J/(mol·K) \[ V = \pi (0.250)^2 (0.750) = 0.14726 \, \text{m}^3 Show more…

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A piston and cylinder assembly with a piston radius of 0.250 m contains 12.5 mol of an ideal gas with CV,m = 3R/2 at 298 K. The assembly is surrounded by air at a pressure of 1.00 bar. The cylinder axis is vertical, and the piston is oriented upward as in Figure 2.1. The system is at equilibrium when the length of the cylinder filled with gas is 0.750 m. a. Calculate the mass of the piston. b. Calculate the distance the piston moves if the temperature of the gas is increased to 750. K. c. Calculate the work done by the piston and cylinder assembly on the surroundings.

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