Mixing Ratio Calculator

Formulas

The formulas to calculate the mixing ratio and saturated mixing ratio are:

$MR = 6.11 \times 10^{\left( \frac{7.5 \times DP}{237.7 + DP} \right)}$

$SMR = 6.11 \times 10^{\left( \frac{7.5 \times T}{237.7 + T} \right)}$

Where:

$MR$ is the mixing ratio
$SMR$ is the saturated mixing ratio
$DP$ is the dew point (°C)
$T$ is the temperature (°C)

Mixing Ratio Definition

The mixing ratio is a fundamental concept used to express the ratio of a substance’s mass to the mass of another substance in a mixture. It is a quantitative measure that describes the amount of one component relative to the total components present. In simpler terms, the mixing ratio represents the proportion of one substance in relation to the total mixture.

Mixing ratio is crucial in numerous fields, particularly in chemistry, physics, meteorology, and engineering. For example, understanding the mixing ratio of reactants in a chemical reaction helps researchers calculate the ideal conditions for maximum yield.

Example Calculation 1

Let's assume the following values:

Dew Point (DP) = 10 °C
Temperature (T) = 20 °C

Using the formulas:

$MR = 6.11 \times 10^{\left( \frac{7.5 \times 10}{237.7 + 10} \right)} \approx 12.27$

$SMR = 6.11 \times 10^{\left( \frac{7.5 \times 20}{237.7 + 20} \right)} \approx 23.34$

The mixing ratio would be approximately 12.27 and the saturated mixing ratio would be approximately 23.34.

Example Calculation 2

Let's assume the following values:

Dew Point (DP) = 15 °C
Temperature (T) = 25 °C

Using the formulas:

$MR = 6.11 \times 10^{\left( \frac{7.5 \times 15}{237.7 + 15} \right)} \approx 17.27$

$SMR = 6.11 \times 10^{\left( \frac{7.5 \times 25}{237.7 + 25} \right)} \approx 30.68$

The mixing ratio would be approximately 17.27 and the saturated mixing ratio would be approximately 30.68.