Disclaimer: Self explanatory equations excluded

Gas Mixtures

Gas constant for mixtures

$R_{m} = \frac{R _{u}}{M _{m}}$ $Where R_{u} = 8.314 k J / km o l * K$

$(U / H / S)_{m} = \sum m_{i} (u / h / s)_{i}$

$(u / h / s / c_{v} / c_{p})_{m} = \sum m f_{i} (u / h / s / c_{v} / c_{p})_{i}$

Use celcius instead of kelvin here

$ω = \frac{m _{v}}{m _{a}} ϕ = \frac{m _{v}}{m _{g}} = \frac{P _{v}}{P _{g}} where P_{g} = P_{sat @ T}$ Given in exam:

$ϕ = \frac{ω P}{( 0.622 + ω ) P _{g}} ω = \frac{0.622 ϕ P _{g}}{P - ϕ P _{g}}$

h = h_{a} + ω h_{g} (k J / k g dry air)

T_{d p} = T_{s a t @ P_{v}}