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Virtual Temperature Calculator

Calculate virtual temperature from air temperature and water vapor mixing ratio for atmospheric and meteorological applications.

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Virtual Temperature in Meteorology

Virtual temperature adjusts actual air temperature to account for water vapor. Moist air is less dense than dry air at the same temperature because water vapor molecules are lighter than nitrogen and oxygen. Virtual temperature makes buoyancy and density calculations simpler.

Formula

$$T_v = T \times (1 + 0.61 \times w)$$

\(T\) is the air temperature, \(w\) is the water vapor mixing ratio in g/kg (converted to kg/kg internally), and \(T_v\) is the virtual temperature in the same units as \(T\).

Applications

Virtual temperature appears in atmospheric stability analysis, convective available potential energy (CAPE) calculations, and weather model diagnostics. Humid air rises more easily because its effective density is lower.

Related tools: Dew Point Calculator and Heat Index Calculator.

Frequently Asked Questions

What is mixing ratio?

Mixing ratio is the mass of water vapor per mass of dry air. It is often expressed in grams per kilogram (g/kg) in meteorology.

Why use 0.61 instead of 0.622?

Both constants appear in atmospheric science. The factor 0.61 is a common approximation for virtual temperature when using mixing ratio. Some references use 0.622 with specific humidity.

Is virtual temperature always higher than actual temperature?

Yes, for moist air. The correction factor (1 + 0.61w) is always greater than 1 when water vapor is present, so virtual temperature exceeds actual temperature.

Can I use Kelvin instead of Celsius?

Yes. The formula is a ratio correction, so it works with any consistent temperature scale. Enter temperature in Celsius or convert to Kelvin first.