Entropy is a thermodynamic quantity that measures the degree of disorder or the dispersal of energy within a system. The second law of thermodynamics states that the total entropy of an isolated system never decreases over time: natural processes tend toward greater disorder. This calculator covers two common ways to quantify entropy change. The first is the classical heat-transfer formula: deltaS equals Q divided by T, where Q is the heat added to the system in joules and T is the absolute temperature in kelvin at which the transfer occurs. This formula applies to reversible processes at constant temperature, such as melting or boiling at the equilibrium point. A positive deltaS means heat entered the system and disorder increased; a negative deltaS means heat left. The second mode applies to the isothermal expansion of an ideal gas, where the volume changes from V1 to V2 at constant temperature. The formula is deltaS equals n times R times the natural logarithm of V2 divided by V1, where n is the number of moles and R is the universal gas constant 8.314 J per mol per K. Expanding the gas (V2 greater than V1) increases entropy because the molecules have more space to occupy. Enter your values and choose the mode that fits your problem. Temperature must be in kelvin. This calculator is suited to students studying thermodynamics, chemistry and engineering, and is for educational use.
Temperature must be in kelvin (K). For Celsius, add 273.15. Results apply to reversible processes at constant temperature only.
Two modes are available. Heat transfer mode applies deltaS = Q / T. Enter heat Q in joules (positive if heat flows into the system, negative if it flows out) and the temperature T in kelvin. Ideal gas expansion mode applies deltaS = n x R x ln(V2/V1), where n is moles of gas, R = 8.314 J/(mol K), and V1 and V2 are initial and final volumes (any consistent unit, since the ratio is dimensionless). If V2 is greater than V1 the result is positive (entropy increases on expansion); if V2 is less than V1 the result is negative (entropy decreases on compression).
A system absorbs 1,000 J of heat at a constant temperature of 300 K. Entropy change: deltaS = 1000 divided by 300 = 3.33 J/K. The positive result confirms that entropy increased, consistent with heat flowing into the system. These match the default values pre-filled above.
If you've found a bug, or would like to contact us, or learn more about James Graham and Calculate.co.nz.
Calculate.co.nz is partnered with Interest.co.nz for New Zealand's highest quality calculators and financial analysis.
All calculators and tools are provided for educational and indicative purposes only and do not constitute financial advice.
Calculate.co.nz is proudly part of the Realtor.co.nz group, New Zealand's leading property transaction literacy platform, helping Kiwis understand the home buying and selling process from start to finish. Whether you're a first home buyer navigating your first property purchase, an investor evaluating your next acquisition, or a homeowner planning to sell, Realtor.co.nz provides clear, independent, and trustworthy guidance on every step of the New Zealand property transaction journey.
Calculate.co.nz is also partnered with Health Based Building and Premium Homes to promote informed choices that lead to better long-term outcomes for Kiwi households.
Calculate.co.nz is hosted in Auckland via SiteHost new Zealand.
All content on this website, including calculators, tools, source code, and design, is protected under the Copyright Act 1994 (New Zealand). No part of this site may be reproduced, copied, distributed, stored, or used in any form without prior written permission from the owner.
About & trust: Why Calculate is NZ's most comprehensive · By the Numbers · How we compare · Editorial standards · How we keep data current · NZ finance glossary · Research & data · Financial literacy NZ · About · Privacy policy · Terms of use
Reviewed and maintained. Last reviewed 2026-06-25 and checked on a twice-monthly cycle against IRD, RBNZ and Stats NZ. How we keep data current.
© 2026 Calculate.co.nz. All rights reserved. Building free NZ calculators since 2011.