Physics

Virtual Temperature Calculator

Find the virtual temperature of moist air.

Calculated Output

Virtual temperature (K) 302.2

Virtual temperature (°C) 29.046

Formula: T_v = T·(1 + 0.61·w)

Step-by-Step Breakdown

1. Values used:

2. Temperature = 300 K

3. Mixing ratio = 12 g/kg

5. Virtual temperature = 302.2K

6. Virtual temperature = 29.046°C

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The math behind it

T_v = T·(1 + 0.61·w), where w is the mixing ratio in kg/kg. Moist air is slightly less dense, so T_v > T.

300 K with 12 g/kg → about 302.2 K.

Why is moist air lighter?

Water molecules are lighter than the N₂ and O₂ they replace.