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Adiabatic Temperature Rise Calculator

Enter total heat released in kJ, total mixture mass in kg, and a constant mixture specific heat capacity in kJ/(kg·K). The result is a temperature difference, not a final temperature or safety limit.

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Enter total heat released in kJ, total mixture mass in kg, and a constant mixture specific heat capacity in kJ/(kg·K). The result is a temperature difference, not a final temperature or safety limit.

ΔT = Q / (m × Cp). Heat release must be finite and nonnegative; mass and Cp must be finite and positive. Q is total heat released, not power or heat per mole. Cp is the constant specific heat of the whole mixture on a mass basis. Assumes no heat loss, no phase change and constant Cp; the user supplies every value. Teaching only: this does not predict runaway, pressure, relief requirements, reaction rate, boiling, final temperature, or any safe operating boundary.

Inputs and results stay in this browser tab. Nothing is uploaded or stored by this calculator.

University of Michigan: Elements of Chemical Reaction Engineering, seventh edition, chapter 13, Unsteady State Nonisothermal Reactor Design. The reference covers broader nonisothermal balances. This tool implements only the constant-Cp heat-balance simplification stated here.

A QUICK WALKTHROUGH

How to use this tool

  1. Enter your own values in the units shown.
  2. Check the input ranges and the formula assumptions.
  3. Calculate the estimate. Editing inputs clears the previous result.

Formula and scope

ΔT = Q / (m × Cp). Heat release must be finite and nonnegative; mass and Cp must be finite and positive. Q is total heat released, not power or heat per mole. Cp is the constant specific heat of the whole mixture on a mass basis. Assumes no heat loss, no phase change and constant Cp; the user supplies every value. Teaching only: this does not predict runaway, pressure, relief requirements, reaction rate, boiling, final temperature, or any safe operating boundary.

Educational reference

University of Michigan: Elements of Chemical Reaction Engineering, seventh edition, chapter 13, Unsteady State Nonisothermal Reactor Design: https://public.websites.umich.edu/~elements/7e/13chap/summary.html. The reference covers broader nonisothermal balances. This tool implements only the constant-Cp heat-balance simplification stated here.

Browser privacy

Inputs and results stay in this browser tab. Nothing is uploaded or stored by this calculator.

GOOD TO KNOW

Common questions

Where do the input values come from?

You supply every value and are responsible for its units, definition and conditions. No material properties or operating values are selected for you.

Does this provide an engineering design or safety assessment?

Heat release must be finite and nonnegative; mass and Cp must be finite and positive. Q is total heat released, not power or heat per mole. Cp is the constant specific heat of the whole mixture on a mass basis. Assumes no heat loss, no phase change and constant Cp; the user supplies every value. Teaching only: this does not predict runaway, pressure, relief requirements, reaction rate, boiling, final temperature, or any safe operating boundary.