# Question: A cylinder containing n mol of an ideal gas

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

(a) Starting with the expression W = - fPdV and using the condition PVy = constant, show that the work done on the gas is

(a) Starting with the expression W = - fPdV and using the condition PVy = constant, show that the work done on the gas is

## Relevant Questions

As a 1.00-mol sample of a monatomic ideal gas expands adiabatically, the work done on it is - 2 500 J. The initial temperature and pressure of the gas are 500 K and 3.60 atm. Calculate (a) The final temperature and (b) ...The compressibility / of a substance is defined as the fractional change in volume of that substance for a given change in pressure:On the PV diagram for an ideal gas, one isothermal curve and one adiabatic curve pass through each point. Prove that the slope of the adiabat is steeper than the slope of the isotherm by the factor y.Although the average speed of gas molecules in thermal equilibrium at some temperature is greater than zero, the average velocity is zero. Explain why this statement must be true.An ideal gas is contained in a vessel at 300 K. If the temperature is increased to 900 K, by what factor does each one of the following change? (a) The average kinetic energy of the molecules. (b) The rms molecular ...Post your question