Psychrometric Chart Calculator Excel (EXTENDED)

Start with the direct formulas (T_db, RH → all outputs). Then add inverse solving via Goal Seek. Finally, if you find yourself repeatedly computing wet‑bulb or dew point, invest an afternoon in writing VBA functions—you will never need a paper chart again. Word count: approx. 1,950

[ v = \frac0.2871 \cdot (T_db + 273.15)P \cdot (1 + 1.6078 \cdot W) ] where 0.2871 = gas constant for dry air (kJ/kg·K), ( P ) in kPa.

For (pressure in kPa, temperature in K):

– requires iterative solution of the carrier equation: psychrometric chart calculator excel

– solved iteratively from ( p_ws(T_dp) = p_w ).

This write‑up explains the science behind psychrometric calculations, the mathematical formulas required, step‑by‑step construction of an Excel calculator, practical applications, and advanced automation techniques. Before building the calculator, we must define the key properties of moist air, treating it as a mixture of dry air and water vapor.

[ W = 0.62198 \cdot \fracp_wP - p_w ] where ( P ) is total atmospheric pressure (typically 101.325 kPa at sea level). The factor 0.62198 is the ratio of molecular weights of water (18.01528) to dry air (28.9645). Start with the direct formulas (T_db, RH → all outputs)

=1.006*B3 + B7*(2501 + 1.86*B3) Cell B9:

While printed charts are useful for quick look‑ups, they suffer from low precision, interpolation errors, and inconvenience in iterative calculations. An solves these problems by embedding the governing equations directly into a spreadsheet, allowing rapid, accurate, and repeatable analysis.

=0.62198 * B6 / (B2 - B6) Cell B8:

[ \ln(p_ws) = \fracC_8T + C_9 + C_10 T + C_11 T^2 + C_12 T^3 + C_13 \ln(T) ]

Introduction Psychrometrics—the study of the thermodynamic properties of moist air—is fundamental to HVAC design, building science, agricultural storage, and industrial drying processes. The standard tool for visualizing these relationships is the psychrometric chart, a complex graph with dry-bulb temperature on the x‑axis and humidity ratio on the y‑axis, overlaid with curves for relative humidity, wet‑bulb temperature, specific volume, and enthalpy.

[ p_ws = 0.61094 \cdot \exp\left( \frac17.625 \cdot T_dbT_db + 243.04 \right) ] where ( T_db ) is in °C, result in kPa. 1. Humidity ratio from vapor pressure Word count: approx

=0.2871*(B3+273.15)/B2 * (1+1.6078*B7) Because dew point requires solving ( p_ws(T_dp) = p_w ), use Excel’s Goal Seek or implement an inverse approximation. A decent direct approximation (for 0–60°C) is:

=$B$2*0.62198*B6/($B$2-B6) Wait – careful: ( W = 0.62198 * p_w / (P - p_w) ). So correct formula: