What is \(Q\) for an adiabatic process?

During adiabatic expansion of an ideal gas, does the gas warm or cool?

An adiabatic process has \(W=250\,\mathrm{J}\). Find \(\Delta U\).

A reversible adiabatic ideal-gas process has \(p_1=1.0\times10^5\,\mathrm{Pa}\), \(V_1=0.040\,\mathrm{m^3}\), \(V_2=0.020\,\mathrm{m^3}\), and \(\gamma=1.40\). Find \(p_2\).

A reversible adiabatic ideal gas has \(T_1=300\,\mathrm{K}\), \(V_2=2V_1\), and \(\gamma=5/3\). Find \(T_2\).

A monatomic ideal gas has \(n=1.0\,\mathrm{mol}\) and cools from \(400\,\mathrm{K}\) to \(320\,\mathrm{K}\) adiabatically. Find work done by the gas.

Derive the work done by an ideal gas in an adiabatic process in terms of \(T_i,T_f,n,\) and \(C_V\).

For reversible adiabatic compression, explain why pressure rises more steeply with decreasing volume than in isothermal compression.

Using \(pV^\gamma=\mathrm{constant}\), derive \(W=(p_iV_i-p_fV_f)/(\gamma-1)\) for a reversible adiabatic ideal-gas process.

A reversible adiabatic expansion doubles the volume of an ideal gas. Derive \(p_f/p_i\), \(T_f/T_i\), and the sign of \(W\) in terms of \(\gamma\).