Science cluster

Heat & Thermodynamics Calculators

Work out heat transfer, insulation, HVAC loads, and thermodynamic cycle efficiency for heating, cooling, and engines.

Top calculators

A short starting set for the most common heat & thermodynamics calculators workflows.

Residential Electrical Load Calculator & Breaker Sizing Tool

Estimate household electrical demand, compare it with your service size, and review conservative breaker and panel upgrade guidance for common residential loads.

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HVAC System Sizing and BTU Calculator | Estimate BTU/hr and Tonnage

Estimate HVAC cooling capacity in BTU/hr and tons from square footage, climate, insulation, sun exposure, and internal heat gains. Includes formulas, a worked example, limitations, and an HVAC BTU balancing mini-game.

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Specific Heat Calculator - Heat Energy From Temperature Rise

Calculate heat energy using Q = mcΔT. Enter mass, specific heat capacity, and temperature change to find the heat required or released when a material warms...

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Dual-Fuel Heat Pump Balance Point Planner - Optimize Switchover Temperature

Determine the economic balance point for dual-fuel heat pump systems by comparing electricity and backup fuel costs across outdoor temperatures.

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Energy Converter (J, kJ, cal, kcal, kWh, BTU, eV)

Convert energy between joules (J), kilojoules (kJ), calories (cal), kilocalories (kcal), kilowatt-hours (kWh), BTU, and electronvolts (eV). Includes formula, worked examples, assumptions, practical context, and an optional energy-conversion mini-game.

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Hot Tub Heating Time Calculator | Estimate Spa Warm-Up Time

Estimate how long it takes to heat a hot tub based on water volume, heater power, starting temperature, target temperature, efficiency, and electricity rate. Learn the formula, assumptions, and practical ways to interpret your spa warm-up time.

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R-Value to U-Value Converter - Compare Insulation Performance

Convert insulation R-value to U-value or vice versa to understand heat flow through walls, roofs, and windows.

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Server Rack Cooling Airflow Calculator (CFM, m³/s, BTU/hr)

Estimate required server rack cooling airflow from rack power and allowable temperature rise. Get airflow in m³/s and CFM plus rack heat load in BTU/hr for practical data center planning.

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Absolute Humidity Calculator (g/m³) — From Temperature & Relative Humidity

Calculate absolute humidity (g/m³) from temperature and relative humidity. Includes dew point, mixing ratio, specific humidity, and a saturation-curve chart with worked examples, assumptions, and practical guidance.

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Adiabatic Compression Temperature Calculator | Final Gas Temperature

Estimate final gas temperature after ideal adiabatic compression from initial temperature, pressure ratio, and heat capacity ratio.

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Adiabatic Lapse Rate Calculator (Dry vs Moist)

Calculate the estimated air-parcel temperature after an altitude change using dry (9.8 °C/km) or moist (6.5 °C/km) adiabatic lapse rate assumptions. Includes a worked example, formulas, assumptions, and interpretation tips.

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Atmospheric Reentry Heating Calculator - Stagnation Point Heat Flux

Estimate convective heat flux on a spacecraft's nose during atmospheric reentry using the Sutton–Graves relation.

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Cylindrical Wall Heat Conduction Calculator | Solve for Q, k, ΔT, Radius, or Length

Free cylindrical wall heat conduction calculator for steady radial heat flow through a pipe, tube, or insulated cylinder. Solve for heat transfer rate Q, thermal conductivity k, cylinder length, inner or outer radius, or temperature difference with the logarithmic cylindrical conduction equation.

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Data Center Waste Heat Reuse Calculator | Recoverable Heat, Coverage, and Savings

Estimate recoverable waste heat from a data center, compare it with building heat demand, and estimate the annual value of reusing server heat.

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Debye Specific Heat Calculator - Lattice Vibrations at Low Temperature

Explore the Debye model for solids and compute the specific heat from the Debye temperature and actual temperature.

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Dual-Fuel Heat Pump Balance Point Planner - Optimize Switchover Temperature

Determine the economic balance point for dual-fuel heat pump systems by comparing electricity and backup fuel costs across outdoor temperatures.

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Earth Tube Cooling Length Calculator

Estimate the length of buried air tubes needed to cool incoming ventilation air using ground temperature.

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Energy Converter (J, kJ, cal, kcal, kWh, BTU, eV)

Convert energy between joules (J), kilojoules (kJ), calories (cal), kilocalories (kcal), kilowatt-hours (kWh), BTU, and electronvolts (eV). Includes formula, worked examples, assumptions, practical context, and an optional energy-conversion mini-game.

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Engine Coolant Mix Ratio Calculator (Antifreeze to Water)

Calculate an engine coolant (ethylene glycol antifreeze + water) mix ratio based on your minimum ambient temperature and a safety margin. Includes freeze/boil point estimates, a worked example, assumptions, and a reference table.

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Geothermal Borehole Spacing Thermal Interference Estimator

Estimate geothermal borehole thermal interference, entering fluid temperature limits, and spacing needs from seasonal load, run hours, depth, conductivity, and allowable temperature inputs.

Geothermal Borehole Spacing Thermal Interference Estimator | AgentCalc science calculator BTU CSV EFT

Geothermal Ground Loop Length Calculator

Estimate closed-loop geothermal ground loop length from design load, soil thermal conductivity, and allowable ΔT. Outputs total pipe length in meters/feet (p...

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Heat of Fusion Calculator - Phase Change Energy

Estimate the thermal energy required to melt a substance using its mass and specific heat of fusion. Learn how the latent heat equation applies to ice, metals, and more.

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Heat of Vaporization Calculator | Latent Heat Energy for Phase Change

Use this heat of vaporization calculator to find the energy required to turn a liquid into vapor from its mass and latent heat of vaporization. Includes formula, worked example, assumptions, conversions, and an interactive mini-game.

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Heat Pump Defrost Efficiency Loss Calculator

Estimate the seasonal efficiency reduction in air-source heat pumps caused by defrost cycles and assess the likelihood of major energy penalties.

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Hot Tub Heating Time Calculator | Estimate Spa Warm-Up Time

Estimate how long it takes to heat a hot tub based on water volume, heater power, starting temperature, target temperature, efficiency, and electricity rate. Learn the formula, assumptions, and practical ways to interpret your spa warm-up time.

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Hot Water Heating Cost Calculator - Estimate Energy Expense

Estimate the energy in kWh and cost required to heat water based on volume, temperature rise, heater efficiency, and electricity price.

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HVAC Duct Size Calculator - Choose the Right Diameter

Estimate the proper duct diameter for heating and cooling systems using airflow (CFM) and duct length. Improve efficiency and reduce noise.

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HVAC System Sizing and BTU Calculator | Estimate BTU/hr and Tonnage

Estimate HVAC cooling capacity in BTU/hr and tons from square footage, climate, insulation, sun exposure, and internal heat gains. Includes formulas, a worked example, limitations, and an HVAC BTU balancing mini-game.

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IRA Home Energy Rebate Stacking Planner

Stack HOMES, HEEHR, federal credits, and state incentives for heat pumps, insulation, and more to plan your upgrade budget.

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Nuclear Decay Heat Calculator - Estimate Residual Reactor Power

Approximate the decay heat power from spent nuclear fuel after shutdown using a simple empirical formula.

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Polytropic Process Calculator

Solve gas relationships and work for a polytropic process using initial state, final volume, and polytropic exponent.

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R-Value to U-Value Converter - Compare Insulation Performance

Convert insulation R-value to U-value or vice versa to understand heat flow through walls, roofs, and windows.

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Residential Electrical Load Calculator & Breaker Sizing Tool

Estimate household electrical demand, compare it with your service size, and review conservative breaker and panel upgrade guidance for common residential loads.

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Server Rack Cooling Airflow Calculator (CFM, m³/s, BTU/hr)

Estimate required server rack cooling airflow from rack power and allowable temperature rise. Get airflow in m³/s and CFM plus rack heat load in BTU/hr for practical data center planning.

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Shower vs Bath Water, Energy, and Cost Calculator

Compare a shower and a bath using your own flow rate, duration, tub volume, temperature rise, heater efficiency, and energy price to estimate water use, heating energy, and cost.

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Specific Heat Calculator - Heat Energy From Temperature Rise

Calculate heat energy using Q = mcΔT. Enter mass, specific heat capacity, and temperature change to find the heat required or released when a material warms...

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Water Boiling Time Calculator | Estimate Energy and Heating Time

Estimate how long it takes to heat water to a target temperature using water volume, start and end temperature, heater power, and efficiency.

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Window Heat Loss Savings Calculator – Estimate Window Energy & Cost...

Estimate how much upgrading your windows can cut annual heat loss and heating bills. Compare old vs new U-factors, window area, climate (heating degree days)...

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