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Dew Point Calculator

Calculate dew point from temperature and relative humidity. Convert between Celsius and Fahrenheit, understand condensation, and explore the dew point formula.

What is the dew point at this temperature and humidity? Try the 25°C, 60% example.

Dew point

16.7°C

View breakdown ↓

Temperature & humidity

Choose the value to find, then enter the two measurements you know.

Model range: −40°C to 50°C / −40°F to 122°F. Negative values are accepted.

Greater than 0%, up to 100%. Very dry air may put the calculated temperature outside the model range.

Condensation Check

A surface at or below the dew point may collect condensation. Actual moisture transport, airflow and surface conditions also matter.

Uses the Magnus approximation over liquid water. Both air temperature and calculated dew point must be within −40°C to 50°C. This is an educational estimate; below freezing it is not a frost point calculation.

Dew point

≈16.7°C

At 25°C and 60% relative humidity, the estimated liquid-water dew point is 16.7°C.

Rounded to 2 decimal places when needed; calculations keep full precision.

Dew point · Celsius
16.7°C
Dew point · Fahrenheit
62.06°F
Air temperature
25°C / 77°F
Relative humidity
60%
Dew point depression
8.3°C / 14.94°F difference

Formula

γ = ln(RH/100) + 17.625T/(243.04 + T); Td = 243.04γ/(17.625 − γ)

  • All temperatures in the formula are Celsius. A temperature difference converts by ×1.8 only; do not add 32.
Calculation steps
  1. Use air temperature 25°C and relative humidity 60%.
  2. γ = ln(RH/100) + 17.625T/(243.04 + T) = 1.13305216.
  3. Td = 243.04γ/(17.625 − γ) = 16.697664°C.
  4. Depression = T − Td = 8.302336°C difference.

Dew point: 16.7°C

On this page

What Is Dew Point?

Dew point is the temperature at which air would become saturated if cooled at constant pressure without changing its water-vapor content. It is a temperature, whereas relative humidity is a percentage. A room at 25°C and 60% relative humidity has an estimated dew point of 16.70°C under this calculator’s model.

That estimate gives a useful reference for a cool window, pipe or wall: a surface near or below the dew point can favor condensation. Dew point alone does not tell you whether rain will fall, or diagnose a building’s moisture problem.

How to Use the Dew Point Calculator

  1. Select Dew point, then choose Celsius or Fahrenheit.
  2. Enter the air temperature and relative humidity from your measurements. Results update immediately.
  3. Read the dew point in both units and the temperature difference called dew point depression.
  4. Open Condensation Check to compare a measured surface temperature, if needed.

To solve a different problem, choose Relative humidity or Air temperature. Each mode leaves only the two known variables editable. Switching units converts the temperatures, and switching modes carries forward a valid calculated result. Reset restores the labeled example; Copy, Print and CSV include the model assumptions.

How to Calculate Dew Point

Start with temperature in Celsius and humidity as a percentage. For 25°C and 60%, the Magnus equation gives γ ≈ 1.13305. Substituting into the dew point equation gives 16.69766°C, shown as approximately 16.70°C (62.06°F).

These four examples use the same coefficients as the interactive calculator:

25°C air · 60% RH

16.70°C

Estimated dew point

20°C air · 50% RH

9.26°C

Estimated dew point

20°C air · 100% RH

20.00°C

Estimated dew point

30°C air · 70% RH

23.93°C

Estimated dew point

Dew Point Formula: The Magnus Approximation

This tool uses a = 17.625 and b = 243.04°C in a Magnus approximation over liquid water. T is air temperature, Td is dew point, ln is the natural logarithm, and RH is a percentage:

γ = ln(RH / 100) + aT / (b + T)

Td = bγ / (a − γ)

The same coefficients appear in the US EPA humidity algorithm. This calculator limits both air temperature and dew point to −40°C through 50°C (−40°F through 122°F). It refuses results outside that range rather than extrapolating. This range is a model boundary, not an instrument accuracy claim.

At 0% RH, ln(0) is undefined, so the calculator cannot report a finite dew point. Very low positive humidity may also put the dew point below the supported range. Full numerical precision is kept internally; the displayed answer is rounded.

Dew Point vs Relative Humidity

Relative humidity compares actual water-vapor pressure with saturation vapor pressure at the current temperature. If an air parcel warms without gaining or losing moisture at the same pressure, its relative humidity falls while its dew point stays approximately the same. Cooling does the reverse until saturation is reached.

This is why “60% humidity” needs a temperature to be meaningful. Sixty percent at 25°C does not represent the same moisture content as 60% at 5°C. The National Weather Service explanation of dew point and humidity discusses this distinction in weather observations.

How to Calculate Relative Humidity from Dew Point

Select Relative humidity and enter air temperature and dew point in the same unit. The tool converts them to Celsius before evaluating:

RH = 100 × exp[aTd / (b + Td) − aT / (b + T)]

Air at 25°C with a rounded dew point of 16.7°C gives approximately 60.01% RH. Using the unrounded forward result returns 60% within numerical precision. In this ordinary unsaturated-air model, dew point cannot exceed air temperature; that would imply RH above 100%.

Finding air temperature instead

The Air temperature mode uses g = aTd / (b + Td) − ln(RH / 100), then T = bg / (a − g). For a dew point of 16.69766°C and RH of 60%, it returns approximately 25°C. The same temperature limits apply to the inverse result.

Dew Point in Celsius and Fahrenheit

Convert a temperature using °F = °C × 9/5 + 32, or °C = (°F − 32) × 5/9. Thus, 25°C is 77°F and 16.70°C is approximately 62.06°F. The Temperature unit control converts every temperature input, including an optional surface temperature, while retaining its unrounded physical value.

Negative temperatures are accepted inside the documented range. Below freezing, the formula still refers to saturation over liquid water. Do not interpret a negative dew point as a calculated frost point.

What Is Dew Point Depression?

Dew point depression is the air temperature minus the dew point. For 25°C air and a 16.70°C dew point, the difference is about 8.30°C. A smaller difference means the air is closer to saturation at its current moisture content.

A temperature difference uses a different conversion from a temperature reading: an 8.30°C difference is about 14.94°F. Multiply by 1.8, without adding 32. At 100% relative humidity, the model gives a zero difference and dew point equals air temperature.

How Dew Point Affects Condensation

For the 25°C, 60% example, a surface measured at 14°C is cooler than the estimated 16.70°C dew point. The Condensation Check therefore reports “Condensation may occur.” A surface above the estimated dew point does not meet that simple temperature condition for the entered air.

The comparison describes a possible local condition. Air movement, temperature gradients, moisture supply, coatings and sensor errors affect what actually happens. Below freezing, ice saturation needs separate consideration. This educational surface condensation estimate is not a certified HVAC engineering assessment, a mold prediction or a complete building-moisture analysis.

What Is a Comfortable Dew Point?

Higher dew points often feel more humid because they indicate more water vapor at a given pressure. Comfort still depends on air temperature, airflow, activity, clothing and individual preference. Two people in the same room may describe its conditions differently.

This calculator shows the measured quantities without assigning a universal “safe” or “comfortable” threshold. A weather comfort chart is a descriptive guide, not a personal health assessment or an HVAC design target.

Dew Point vs Frost Point

Dew point describes saturation relative to liquid water. Frost point describes saturation relative to ice. Their saturation vapor pressures differ below freezing, so the two temperatures cannot be used interchangeably. Supercooled liquid droplets and deposited ice are also different physical outcomes.

This calculator deliberately uses the liquid-water relation throughout its stated range. For frost-sensitive work, use an ice-based model and appropriate measurements. The National Physical Laboratory humidity reference distinguishes water and ice vapor-pressure formulations. Browse the Science & Engineering category for published CalcVibes tools.

Frequently Asked Questions

What is dew point, and how do I calculate it?

It is the saturation temperature reached by cooling air at constant pressure without changing its water-vapor content. Enter air temperature and relative humidity; this tool evaluates the Magnus formula and displays the estimate in Celsius and Fahrenheit.

What is the difference between humidity and dew point?

Relative humidity is a percentage relative to saturation at the current temperature. Dew point is a temperature. Heating the same air at constant pressure can lower its relative humidity without materially changing its dew point.

What happens at 100% relative humidity?

The model gives dew point equal to air temperature and zero dew point depression. For example, 20°C air at 100% RH has a 20°C dew point.

Can dew point exceed air temperature?

That would imply supersaturation. This calculator models ordinary unsaturated or saturated air (RH up to 100%) and flags that input combination rather than extending the model to supersaturation.

Can dew point help identify condensation conditions?

Yes. A surface at or below the estimated dew point meets a basic temperature condition favorable for condensation. The optional check compares those temperatures but cannot guarantee condensation or assess mold.

Does dew point predict rain?

No. Rain formation also involves atmospheric lifting, cloud processes and other weather conditions. A high dew point alone does not establish that it will rain.

What is the Magnus dew point formula?

It is an empirical vapor-pressure approximation. Here γ = ln(RH/100) + 17.625T/(243.04 + T), and Td = 243.04γ/(17.625 − γ), with temperatures in Celsius. Both temperatures must be within −40°C to 50°C in this tool.

Why is there no result for 0% or extremely low humidity?

The logarithm of zero is undefined. At a very small positive RH, a formal result may be below the model’s supported −40°C limit. The calculator explains either condition instead of displaying an invalid number.