# Answer to Question #52141 in Molecular Physics | Thermodynamics for john

Question #52141

1/A cylinder containing n mol of an ideal gas undergoes an adiabatic process.

(a) Show that the work done on the gas is

(b) Starting with the first law of thermodynamics in differential form, prove that the work done on the gas is also equal to . Show that this result is consistent with the equation in part (a).

2/ A vertical cylindrical tank contains 1.80 mol of an ideal gas under a pressure of 1.00 atm at 20.0oC. The round part of the tank has a radius of 10.0 cm, and the gas is supporting a piston that can move up and down in the cylinder without friction.

(a) What is the mass of this piston?

(b) How tall is the column of gas that is supporting the piston?

(a) Show that the work done on the gas is

(b) Starting with the first law of thermodynamics in differential form, prove that the work done on the gas is also equal to . Show that this result is consistent with the equation in part (a).

2/ A vertical cylindrical tank contains 1.80 mol of an ideal gas under a pressure of 1.00 atm at 20.0oC. The round part of the tank has a radius of 10.0 cm, and the gas is supporting a piston that can move up and down in the cylinder without friction.

(a) What is the mass of this piston?

(b) How tall is the column of gas that is supporting the piston?

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