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Calories (th)/gram/K to Btus (th)/pound/°R Converter (cal (th)/(g·K) to Btu (th)/(lb·°R))

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Live Conversion • ISO 80000-5:2019 Certified
1 Calorie (th)/gram/K = 1 Btu (th)/pound/°R
1 cal (th)/(g·K) = 1 Btu (th)/(lb·°R) • 1 Btu (th)/(lb·°R) = 1 cal (th)/(g·K)
Calorie (th)/gram/K to Btu (th)/pound/°R: One Calorie (th)/gram/K is equal to 1 Btu (th)/pound/°R.
Certified Authority Value
1.00000000
Btu (th)/(lb·°R)
Exact: 1 Btu (th)/(lb·°R) ≡ 1 cal (th)/(g·K)
cal (th)/(g·K)
cal (th)/(g·K)
Swap to Btu (th)/pound/°R to Calorie (th)/gram/K
Swap to Btu (th)/pound/°R to Calorie (th)/gram/K
Btu (th)/(lb·°R)
Btu (th)/(lb·°R) 1
Quick Values:
Conversion Formula
To convert Calorie (th)/gram/K to Btu (th)/pound/°R, multiply by 1
cal (th)/(g·K) × 1 = Btu (th)/(lb·°R)

Calculation: 1 cal (th)/(g·K) × 1 = 1 Btu (th)/(lb·°R)

Common Calorie (th)/gram/K to Btu (th)/pound/°R Calculations

Quick-lookup reference table showing calculated equivalents for standard increments between Calorie (th)/gram/K (cal (th)/(g·K)) and Btu (th)/pound/°R (Btu (th)/(lb·°R)).

Tap any row to calculate
Calorie (th)/gram/K to Btu (th)/pound/°R: Primary Direct Table (15 Steps)
Calorie (th)/gram/K to Btu (th)/pound/°R Conversion Reference Table
Conversion & Equivalent Value Scientific Notation
0.001 cal (th)/(g·K) 0.001 Btu (th)/(lb·°R) 1 × 10⁻³
0.01 cal (th)/(g·K) 0.01 Btu (th)/(lb·°R) 1 × 10⁻²
0.1 cal (th)/(g·K) 0.1 Btu (th)/(lb·°R) 1 × 10⁻¹
0.5 cal (th)/(g·K) 0.5 Btu (th)/(lb·°R) 5 × 10⁻¹
1 cal (th)/(g·K) 1 Btu (th)/(lb·°R) 1 × 10⁰
2 cal (th)/(g·K) 2 Btu (th)/(lb·°R) 2 × 10⁰
5 cal (th)/(g·K) 5 Btu (th)/(lb·°R) 5 × 10⁰
10 cal (th)/(g·K) 10 Btu (th)/(lb·°R) 1 × 10¹
20 cal (th)/(g·K) 20 Btu (th)/(lb·°R) 2 × 10¹
25 cal (th)/(g·K) 25 Btu (th)/(lb·°R) 2.5 × 10¹
50 cal (th)/(g·K) 50 Btu (th)/(lb·°R) 5 × 10¹
100 cal (th)/(g·K) 100 Btu (th)/(lb·°R) 1 × 10²
250 cal (th)/(g·K) 250 Btu (th)/(lb·°R) 2.5 × 10²
500 cal (th)/(g·K) 500 Btu (th)/(lb·°R) 5 × 10²
1000 cal (th)/(g·K) 1000 Btu (th)/(lb·°R) 1 × 10³
Btu (th)/pound/°R to Calorie (th)/gram/K: Reciprocal Summary
Btu (th)/pound/°R to Calorie (th)/gram/K Conversion Reference Table
Reciprocal & Equivalent Value Scientific Notation
1 Btu (th)/(lb·°R) 1 cal (th)/(g·K) 1 × 10⁰
5 Btu (th)/(lb·°R) 5 cal (th)/(g·K) 5 × 10⁰
10 Btu (th)/(lb·°R) 10 cal (th)/(g·K) 1 × 10¹
50 Btu (th)/(lb·°R) 50 cal (th)/(g·K) 5 × 10¹
100 Btu (th)/(lb·°R) 100 cal (th)/(g·K) 1 × 10²
View Complete 15-Row Btu (th)/pound/°R to Calorie (th)/gram/K Table

Real-World Context & Everyday Benchmarks

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To help contextualize these units in everyday life, science, and engineering, here are verified real-world reference points for Calorie (th)/gram/K (cal (th)/(g·K)) and Btu (th)/pound/°R (Btu (th)/(lb·°R)):

Calorie (th)/gram/K References:

  • Thermochemical calorie water baseline on Kelvin scale 1 cal (th)/(g·K)

Btu (th)/pound/°R References:

  • Thermochemical water heat capacity on Rankine scale 1 Btu (th)/(lb·°R)

Tap any benchmark above to automatically calculate its exact equivalent in Btu (th)/pound/°R.

ISQ Dimension: [L² T⁻² Θ⁻¹] Coherent SI Unit: joule per kilogram kelvin (J/(kg·K)) Thermodynamics & Heat Transfer

How to Convert Calorie (th)/gram/K to Btu (th)/pound/°R

Converting Calorie (th)/gram/K (cal (th)/(g·K)) to Btu (th)/pound/°R (Btu (th)/(lb·°R)) 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. Both units share an identical 1:1 scale equivalence within this physical measurement domain. They represent the exact same physical magnitude under different metrological designations or derived SI formulations (1 cal (th)/(g·K) ≡ 1 Btu (th)/(lb·°R)). Any quantity expressed in Calorie (th)/gram/K translates directly to Btu (th)/pound/°R without mathematical scaling.

Direct Factor1 cal (th)/(g·K) = 1 Btu (th)/(lb·°R)
Inverse Ratio1 Btu (th)/(lb·°R) = 1 cal (th)/(g·K)
Conversion Scale1:1 Direct Dimensional Identity
First-Principles SI Derivation ProofNIST SP 811 / ISO 80000 Compliance

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:

Vtarget=Vsource×(ksource→SIktarget→SI)V_{\text{target}} = V_{\text{source}} \times \left( \frac{k_{\text{source} \to \text{SI}}}{k_{\text{target} \to \text{SI}}} \right)
Universal Dimensional Conversion Law (ISO 80000 / NIST SP 811)
1. Source SI Bridge (ksource):1 cal (th)/(g·K) = 4183.995381 joule per kilogram kelvin (J/(kg·K))
2. Target SI Bridge (ktarget):1 Btu (th)/(lb·°R) = 4183.995381 joule per kilogram kelvin (J/(kg·K))
Step-by-step substitution for Calorie (th)/gram/K → Btu (th)/pound/°R:V(Btu (th)/(lb·°R)) = V(cal (th)/(g·K)) × ( 4183.995381 / 4183.995381 ) = V(cal (th)/(g·K)) × 1
Mathematical FormulaValue in Btu (th)/pound/°R = Value in Calorie (th)/gram/K × 1Direct computational formula applied for standard conversion.
Worked Example

To convert 12 Calorie (th)/gram/K (cal (th)/(g·K)) to Btu (th)/pound/°R (Btu (th)/(lb·°R)): multiply 12 by 1 to get 12 Btu (th)/(lb·°R). At an industrial engineering scale, 100 cal (th)/(g·K) converts to 100 Btu (th)/(lb·°R).

Inverse check: 1 Btu (th)/(lb·°R) = 1 cal (th)/(g·K).

Understanding Calorie (th)/gram/K and Btu (th)/pound/°R

Calorie (th)/gram/K

cal (th)/(g·K)
Standard Unit

A Calorie (th)/gram/K (cal (th)/(g·K)) is a recognized unit for specific heat capacity.

Applications & Practical Context

In practical specific heat capacity terms, a thermochemical calorie water baseline on Kelvin scale equals 1 cal (th)/(g·K).

Physical Setup

A physical magnitude of 1 cal (th)/(g·K) corresponds to 4183.995381 J/(kg·K) in standard SI measurement.

Conversion to SI Unit: joule per kilogram kelvin (J/(kg·K))
1 cal (th)/(g·K) = 4183.995381 J/(kg·K)

Btu (th)/pound/°R

Btu (th)/(lb·°R)
Imperial / US

A Btu (th)/pound/°R (Btu (th)/(lb·°R)) is an imperial and US customary unit for specific heat capacity.

Applications & Practical Context

In practical specific heat capacity terms, a thermochemical water heat capacity on Rankine scale equals 1 Btu (th)/(lb·°R).

Physical Setup

A physical magnitude of 1 Btu (th)/(lb·°R) corresponds to 4183.995381 J/(kg·K) in standard SI measurement.

Conversion to SI Unit: joule per kilogram kelvin (J/(kg·K))
1 Btu (th)/(lb·°R) = 4183.995381 J/(kg·K)

Domain Metrology & Engineering Applications

Governing Law & Equation

Specific Enthalpy Derivative (c_p = (∂h/∂T)_p)

Measurement Instrumentation

Rigorously quantified in laboratory and field settings using differential scanning calorimeters (DSC), adiabatic drop calorimeters, and dual-furnace calorimeter systems.

Primary Industry Sectors

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.

Institutional Metrology & Standard Authority:

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].

Multi-Variable Engineering Bridge Thermodynamics & Heat Storage

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)
Vector: [J/(kg·K)] × [kg·K] → [J]
Live Calculated Bridge Equivalent:
1 cal (th)/(g·K) at 50 kg Domestic Water at 40K Swing (2,000 kg·K) = 8367990.7617 J
Equals 8367.9908 kJ • 8.367991 MJ • 2.324442 kWh
SI Energy
8367990.7617
J
Joules
Thermal Scale
8367.9908
kJ
Kilojoules
Bulk Energy
8.367991
MJ
Megajoules
Electric Utility Meter
2.324442
kWh
Kilowatt-Hours
Battery Capacity
2324.4419
Wh
Watt-Hours
Imperial Thermal
7931.3249
BTU
British Thermal Units
  1. 1. Normalize Input to SI Base Unit (J/(kg·K)):
    c_p = 1 cal (th)/(g·K) × 4183.99538087 = 4183.99538087 J/(kg·K)
  2. 2. Apply Engineering Parameter (mΔT):
    Selected condition: 50 kg Domestic Water at 40K Swing (2,000 kg·K) at mΔT = 2000 kg·K
  3. 3. Execute Governing Physical Law in SI Units:
    Q = c_p × (m × ΔT) = (4183.99538087 J/(kg·K)) × (2000 kg·K) = 8367990.761738 J
  4. 4. Convert to Standard Engineering Units:
    • J: 8367990.761738 × 1 = 8367990.7617 J (Joules) • kJ: 8367990.761738 × 0.001 = 8367.9908 kJ (Kilojoules) • MJ: 8367990.761738 × 1 × 10⁻⁶ = 8.367991 MJ (Megajoules) • kWh: 8367990.761738 × 2.7778 × 10⁻⁷ = 2.324442 kWh (Kilowatt-Hours) • Wh: 8367990.761738 × 0.0002778 = 2324.4419 Wh (Watt-Hours) • BTU: 8367990.761738 × 0.0009478 = 7931.3249 BTU (British Thermal Units)
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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
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Frequently Asked Questions

There are exactly 1 btus (th)/pound/°r (Btu (th)/(lb·°R)) in 1 calorie (th)/gram/k (cal (th)/(g·K)). To calculate larger amounts manually, simply multiply your total number of calories (th)/gram/k by the conversion multiplier of 1.

The mathematical formula to convert calories (th)/gram/k to btus (th)/pound/°r is: [value] * 1 = btus (th)/pound/°r. Rather than doing the math manually, you can use our high-precision online calculator to process this exact equation instantly without rounding errors.

To perform the reverse calculation from btus (th)/pound/°r back to calories (th)/gram/k, you must divide your starting value by 1. Our bidirectional tool automatically computes this inverse equation the moment you type into the btu (th)/pound/°r input field.

1 Calorie (th)/gram/K and 1 Btu (th)/pound/°R represent the exact same physical magnitude with an identical 1:1 conversion ratio.

Under standard international measurement guidelines, 1 Calorie (th)/gram/K converts to 1 btus (th)/pound/°r. Precise numerical conversion factors ensure consistency across laboratory, engineering, and field data.