Calories (it)/gram/°C to Kilocalories (th)/kilogram/K Converter (cal/(g·°C) to kcal (th)/(kg·K))
cal/(g·°C) × 1.00066989 = kcal (th)/(kg·K)
Calculation: 1 cal/(g·°C) × 1.00066989 = 1.00066989 kcal (th)/(kg·K)
Common Calorie (IT)/gram/°C to Kilocalorie (th)/kilogram/K Calculations
Quick-lookup reference table showing calculated equivalents for standard increments between Calorie (IT)/gram/°C (cal/(g·°C)) and Kilocalorie (th)/kilogram/K (kcal (th)/(kg·K)).
| Conversion & Equivalent Value | Scientific Notation |
|---|---|
| 0.001 cal/(g·°C) 0.00100067 kcal (th)/(kg·K) | 1.001 × 10⁻³ |
| 0.01 cal/(g·°C) 0.0100067 kcal (th)/(kg·K) | 1.001 × 10⁻² |
| 0.1 cal/(g·°C) 0.100067 kcal (th)/(kg·K) | 1.001 × 10⁻¹ |
| 0.5 cal/(g·°C) 0.500335 kcal (th)/(kg·K) | 5.003 × 10⁻¹ |
| 1 cal/(g·°C) 1.00067 kcal (th)/(kg·K) | 1.001 × 10⁰ |
| 2 cal/(g·°C) 2.00134 kcal (th)/(kg·K) | 2.001 × 10⁰ |
| 5 cal/(g·°C) 5.003349 kcal (th)/(kg·K) | 5.003 × 10⁰ |
| 10 cal/(g·°C) 10.006699 kcal (th)/(kg·K) | 1.001 × 10¹ |
| 20 cal/(g·°C) 20.013398 kcal (th)/(kg·K) | 2.001 × 10¹ |
| 25 cal/(g·°C) 25.016747 kcal (th)/(kg·K) | 2.502 × 10¹ |
| 50 cal/(g·°C) 50.033494 kcal (th)/(kg·K) | 5.003 × 10¹ |
| 100 cal/(g·°C) 100.066989 kcal (th)/(kg·K) | 1.001 × 10² |
| 250 cal/(g·°C) 250.167472 kcal (th)/(kg·K) | 2.502 × 10² |
| 500 cal/(g·°C) 500.334944 kcal (th)/(kg·K) | 5.003 × 10² |
| 1000 cal/(g·°C) 1000.669888 kcal (th)/(kg·K) | 1.001 × 10³ |
| Reciprocal & Equivalent Value | Scientific Notation |
|---|---|
| 1 kcal (th)/(kg·K) 0.999331 cal/(g·°C) | 9.993 × 10⁻¹ |
| 5 kcal (th)/(kg·K) 4.996653 cal/(g·°C) | 4.997 × 10⁰ |
| 10 kcal (th)/(kg·K) 9.993306 cal/(g·°C) | 9.993 × 10⁰ |
| 50 kcal (th)/(kg·K) 49.966528 cal/(g·°C) | 4.997 × 10¹ |
| 100 kcal (th)/(kg·K) 99.933056 cal/(g·°C) | 9.993 × 10¹ |
Real-World Context & Everyday Benchmarks
Tap to load into converterTo help contextualize these units in everyday life, science, and engineering, here are verified real-world reference points for Calorie (IT)/gram/°C (cal/(g·°C)) and Kilocalorie (th)/kilogram/K (kcal (th)/(kg·K)):
Calorie (IT)/gram/°C References:
- Pure liquid water standard specific heat baseline at 15°C 1 cal/(g·°C)
- Pure ethanol grain alcohol liquid specific heat 0.58 cal/(g·°C)
- Granite stone geological bedrock thermal specific heat 0.19 cal/(g·°C)
Kilocalorie (th)/kilogram/K References:
- Thermodynamic water heat capacity standard benchmark 1 kcal (th)/(kg·K)
How to Convert Calorie (IT)/gram/°C to Kilocalorie (th)/kilogram/K
Converting Calorie (IT)/gram/°C (cal/(g·°C)) to Kilocalorie (th)/kilogram/K (kcal (th)/(kg·K)) is a core calculation in Specific Heat Capacity, which measures the thermal energy required to raise the temperature of a unit mass of substance by one degree. Because Calorie (IT)/gram/°C represents a larger magnitude than Kilocalorie (th)/kilogram/K, converting from cal/(g·°C) to kcal (th)/(kg·K) expands the numerical figure. Exactly 1 Calorie (IT)/gram/°C encompasses 1.00067 Kilocalorie (th)/kilogram/K. To convert any quantity, multiply the value in Calorie (IT)/gram/°C by 1.00067.
Mathematical Conversion Derivation via Coherent SI Base Unit
Under the International System of Quantities (ISQ), dimensional conversion between non-SI units is rigorously resolved by bridging through the coherent SI base unit (joule per kilogram kelvin (J/(kg·K))) without arbitrary rounding:
1 cal/(g·°C) = 4186.798188 joule per kilogram kelvin (J/(kg·K))1 kcal (th)/(kg·K) = 4183.995381 joule per kilogram kelvin (J/(kg·K))V(kcal (th)/(kg·K)) = V(cal/(g·°C)) × ( 4186.798188 / 4183.995381 ) = V(cal/(g·°C)) × 1.00067Value in Kilocalorie (th)/kilogram/K = Value in Calorie (IT)/gram/°C × 1.00066989Direct computational formula applied for standard conversion.For an engineering input of 250 cal/(g·°C), applying the conversion factor yields exactly 250.167472 kcal (th)/(kg·K). At larger operational scale, 10000 Calorie (IT)/gram/°C corresponds to 10006.698877 kcal (th)/(kg·K).
Inverse check: 1 kcal (th)/(kg·K) = 0.999331 cal/(g·°C).Understanding Calorie (IT)/gram/°C and Kilocalorie (th)/kilogram/K
Calorie (IT)/gram/°C
cal/(g·°C)A Calorie (IT)/gram/°C (cal/(g·°C)) is a recognized unit for specific heat capacity.
Applications & Practical Context
In practical specific heat capacity terms, a pure liquid water standard specific heat baseline at 15°C equals 1 cal/(g·°C), a pure ethanol grain alcohol liquid specific heat equals 0.58 cal/(g·°C), a granite stone geological bedrock thermal specific heat equals 0.19 cal/(g·°C).
A physical magnitude of 1 cal/(g·°C) corresponds to 4186.798188 J/(kg·K) in standard SI measurement.
1 cal/(g·°C) = 4186.798188 J/(kg·K)Kilocalorie (th)/kilogram/K
kcal (th)/(kg·K)A Kilocalorie (th)/kilogram/K (kcal (th)/(kg·K)) is a decimal multiple of the SI-derived unit for specific heat capacity.
Applications & Practical Context
In practical specific heat capacity terms, a thermodynamic water heat capacity standard benchmark equals 1 kcal (th)/(kg·K).
A physical magnitude of 1 kcal (th)/(kg·K) corresponds to 4183.995381 J/(kg·K) in standard SI measurement.
1 kcal (th)/(kg·K) = 4183.995381 J/(kg·K)Domain Metrology & Engineering Applications
Specific Enthalpy Derivative (c_p = (∂h/∂T)_p)
Rigorously quantified in laboratory and field settings using differential scanning calorimeters (DSC), adiabatic drop calorimeters, and dual-furnace calorimeter systems.
Applied across battery thermal runaway mitigation (EV cell modeling), chemical synthesis reactor safety, molten salt solar storage, and cryogenic coolant engineering under international metrology standard ISO 80000-5:2019, NIST Chemistry WebBook.
Formulas, conversion coefficients, and base definitions on this page strictly adhere to the ISO 80000-5:2019, NIST Chemistry WebBook and the BIPM SI Brochure (9th Edition). Governed by Specific Enthalpy Derivative (c_p = (∂h/∂T)_p) under ISO 80000 dimensional vector [L² T⁻² Θ⁻¹].
Specific Heat Capacity to Thermal Energy Storage Bridge (Joules • Kilojoules • Megajoules • kWh • BTU)
Calculate total sensible thermal storage energy Q = c_p × (m × ΔT) for heating or cooling mass charges, bridging specific heat capacity [L² T⁻² Θ⁻¹] with stored thermal energy [M L² T⁻²].
Q = c_p × (m × ΔT)
[J/(kg·K)] × [kg·K] → [J]
-
1. Normalize Input to SI Base Unit (J/(kg·K)):
c_p = 1 cal/(g·°C) × 4186.79818795 = 4186.79818795 J/(kg·K) -
2. Apply Engineering Parameter (mΔT):
Selected condition: 50 kg Domestic Water at 40K Swing (2,000 kg·K) at mΔT = 2000 kg·K -
3. Execute Governing Physical Law in SI Units:
Q = c_p × (m × ΔT) = (4186.79818795 J/(kg·K)) × (2000 kg·K) = 8373596.375907 J -
4. Convert to Standard Engineering Units:
• J: 8373596.375907 × 1 = 8373596.3759 J (Joules) • kJ: 8373596.375907 × 0.001 = 8373.5964 kJ (Kilojoules) • MJ: 8373596.375907 × 1 × 10⁻⁶ = 8.373596 MJ (Megajoules) • kWh: 8373596.375907 × 2.7778 × 10⁻⁷ = 2.325999 kWh (Kilowatt-Hours) • Wh: 8373596.375907 × 0.0002778 = 2325.999 Wh (Watt-Hours) • BTU: 8373596.375907 × 0.0009478 = 7936.638 BTU (British Thermal Units)
| Engineering Substance / Operating Standard | Parameter Value (kg·K) | Reference State / Condition | Typical Industrial & Engineering Application |
|---|---|---|---|
| 50 kg Domestic Water at 40K Swing (2,000 kg·K) | 2000 |
m = 50 kg, ΔT = 40 K | 50-liter domestic hot water tank charge |
| 1,000 kg Hydronic Buffer at 20K Swing (20,000 kg·K) | 20000 |
m = 1,000 kg, ΔT = 20 K | Commercial heat pump thermal buffer storage |
| 200 kg Engine Block at 70K Swing (14,000 kg·K) | 14000 |
m = 200 kg, ΔT = 70 K | Cast iron engine warm-up heat soak |
| 10,000 kg Process Fluid at 50K Swing (500,000 kg·K) | 500000 |
m = 10,000 kg, ΔT = 50 K | Industrial batch chemical reactor heat load |
Frequently Asked Questions
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