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Thermodynamics

Heat Transfer and Specific Heat

Sensible heating changes temperature without changing phase.

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Source & review

Difficulty

Beginner

Read time

5 min

Prerequisites

Basic algebra and consistent SI units

Review statusNeeds review

Source

OpenStax, College Physics 2e, §14.2 (Paul Peter Urone and Roger Hinrichs)

Textbook reference retained from the OpenFormulaGraph dataset; adaptation credits and license are provided below.

Adapted from OpenFormulaGraph, under CC BY 4.0.

FormuLab adapted the notation, explanations, assumptions, and topic placement, and expanded the numerical check into a worked example. The textbook section link was corrected.

Definition
Understanding the core concept

Sensible heating changes temperature without changing phase. The heat transfer depends on mass, specific heat, and temperature change. Cooling gives negative Q when heat into the substance is defined as positive.

Variables & Units
Understanding each component
SymbolMeaningUnits
Heat transferred into the substance
Mass
Specific heat capacity
Final minus initial temperature
Real-World Applications
Where this formula is used in practice

Heating loads

Estimate heat needed for a temperature rise.

Calorimetry

Compare heat gained and lost by different bodies.

Worked Example
Step-by-step calculation with real numbers

Problem

Heat 2.00 kg of water by 10.0 K without a phase change. Taking c = 4186 J/(kg·K), find the heat delivered to the water.

Given

Solution

1
2
3

Final Answer

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