1What is the 1st law of thermodynamics?
$\Delta U = Q^{\text{(in)}} + W^{\text{(on)}}$
2What is the free expansion of a gas?
The gas expands against no pressure ($W^{(on)} = 0$)
3What one variable is ΔU dependent on?
Temperature
4What is the equation for the internal energy of a gas at a point?
$U = \frac{f}{2} N k_B T = \frac{f}{2} nRT$
5How many degrees of freedom (f) does an ideal gas have?
f = 3
6What is the equation for the specific heat at constant volume $C_v$?
$C_v = \frac{f}{2} R$
7What is the equation for the specific heat at constant pressure $C_p$?
$C_p = \frac{f+2}{2} R$
8What equation gives the final temperature of a system C created by combingin systems A and B?
$T_f = \frac{m_A T_A C_{P,A} + m_B T_B C_{P,B}}{m_A C_{P,A}+ m_B C_{P,B}}$