Adiabatic process, Poisson equation Worksheet

Worksheet

1          A monatomic ideal gas undergoes a quasi-static adiabatic expansion in which its volume is doubled. How is the pressure of the gas changed?

……………………………………………………………………………………………………………………………………………………………………………………………………

[1]

2          An ideal gas has a pressure of 0.50 atm and a volume of 10 L. It is compressed adiabatically and quasi-statically until its pressure is 3.0 atm and its volume is 2.8 L. Is the gas monatomic, diatomic, or polyatomic?

………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………

3          Pressure and volume measurements of a dilute gas undergoing a quasi-static adiabatic expansion are shown below. Plot ln p vs. V and determine γ for this gas from your graph.

[2]

4          (a) An ideal diatomic gas at 80 K is slowly expanded adiabatically and reversibly to twice its volume. What is its final temperature?

final temperature = …………………………. K [2]

            (b) Compare the charge in internal energy of an ideal gas for a quasi-static adiabatic expansion with that for a quasi-static isothermal expansion. What happens to the temperature of an ideal gas in an adiabatic expansion?

…………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………

[2]

5          On an adiabatic process of an ideal gas pressure, volume and temperature change such that pV^γ is constant with γ=5/3 for monatomic gas such as helium and γ=7/5 for diatomic gas such as hydrogen at room temperature. Use numerical values to plot two isotherms of 1 mol of helium gas using ideal gas law and two adiabatic processes mediating between them. Use T₁=500K, V₁ = 1L,and T₂=300K for your plot.

[3]