An ideal gas is contained in a cylinder equipped with a frictionless, nonleaking piston of area…

An ideal gas is contained in a cylinder equipped with a frictionless, nonleaking piston of area A. When the pressure is atmospheric Po, the piston face is a distance I from the closed end. The gas is compressed by moving the piston a distance x. Calculate the spring constant of the gas:

(a) Under isothermal conditions.

(b) Under adiabatic conditions.

(c) In what respect is a gas cushion superior to a steel spring?

(d) Using Eq. (4.14), show that Cp – Cv = nR for the ideal gas.

 

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