Specific Heat Capacity Calculator
Solve Q = m c ΔT for heat, mass, specific heat, or temperature change. Runs locally in your browser.
Trust summary CVP VERIFIED · CVP protocol 1.0.0-proposed · Engineering assurance
- Input interpretation
- Enter values to calculate.
- Result
- —
- Assurance
- Engineering
- Declared partition coverage
- PASS · 2/2 declared partitions (specific-heat, invalid-domain) · Matrix
- Known limitations
- Sensible heat; constant c
- Core CVP does not include live graph, viewport, or pointer interaction.
- Model
- Specific-heat energy equation.
- Scope
- Constant c; no phase change
- Verification
- Engine tested · Source checked · v1.0.0 · CVP VERIFIED · CVP protocol 1.0.0-proposed · Engineering assurance· View Manifest · CVP overview · Specification
- Versions
- Calculation 1.0.0 · CVP protocol 1.0.0-proposed
- CVP identity
- 1/1 property · digest f8ddb91becb6
- Legacy regression
- 3/3 tests · Production surface contract 4/4
- Reference
- O1 model · O2 expected_values · O2 numerical_behavior
- Interfaces
- PASS · UI (SSR) / REST / MCP
- Supplemental domain review
- Internal · Pass
- Named expert review
- Not performed
- CVP suite
- 1/1 golden · 1/1 CVP boundary · 1/1 invalid · 1/1 property · 1/1 cross-interface · 1/1 CVP contract · Manifest
- Sources
- Thermodynamics intro
- ISO 80000-5 / calorimetry practice
- Evidence
- 1 legacy golden · 1 legacy boundary · legacy regression suite · 1/1 oracle-backed golden · 1/1 invalid · Artifact integrity PASS · CalculatorX physics review
- Semantic contract
- PASS
Full verification
Formulas
Core equations used by this calculator.
How to use
Choose what to solve for
Q, m, c, or ΔT from Q = m·c·ΔT.
Enter the three known values
Use joules, kg, and kelvin (or °C difference — same Δ).
Read the unknown
Confirm the specific heat c matches your material and units.
Example calculations
Common configurations with formula and result.
1 kg water +10 K
c≈4184
Specific Heat Capacity calculator specification
Version 1.0.0 · Engine tested · Supplemental domain review · Internal · 2026-08-09
- Engine tested 3/3 tests · Production surface contract 4/4
- Supplemental domain review Internal · Pass · 2026-08-09
- Named expert review Not performed
- Calculation version 1.0.0
Review policy · Evidence · Reviewed by CalculatorX physics review
- Definition
- Q = m · c · ΔT with constant specific heat (no phase change).
- What it calculates
- Specific-heat energy equation.
- Inputs
- mode Q|m|c|dT
- m_kg
- c_J_kgK
- dT_K|Q_J
- Outputs
- Q_J
- m_kg
- c_J_kgK
- dT_K
- Formula
Q=mcΔT- Assumptions
- Constant c; no phase change
- Units
- kg, J/(kg·K), K, J
- Boundary conditions
- dT=0 on Q/m/c → VALUE_MUST_BE_POSITIVE
- Example
- m=1 c=4184 dT=10 → Q=41840 J
- Validation cases
1 published on this page · 3/3 tests · Production surface contract 4/4 · View evidence
- Q m=1 c=4184 dT=10 → Q=41840
- Sources
- Thermodynamics intro — sensible heatSupports: Q=mcΔT
- ISO 80000-5 / calorimetry practice — Sensible heatSupports: Q = m c ΔT
- Thermodynamics intro — sensible heat
- Last reviewed
- 2026-08-09
- Reviewed by
- CalculatorX physics review
- Calculation version
- 1.0.0
Background
Interpretation and common distinctions.
Solve Q = m c ΔT.
Supported and not supported
Supported — Solve Q|m|c|ΔT · API physics.thermo.specific_heat
Not supported — Phase change / latent heat, temperature-dependent c(T)
Agent / API notes
Capability id: physics.thermo.specific_heat · tool id: specific-heat · pin 1.0.0.
Related tools
Other calculators in this family: Ideal Gas, Heat Transfer .
Frequently asked questions
Key distinctions behind the calculation.
Can ΔT be zero?
For solve-Q/m/c modes, ΔT must be non-zero; API returns VALUE_MUST_BE_POSITIVE.