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Convert BTU per Pound-Rankine to Joules per Kilogram-Kelvin

Instantly convert BTU per Pound-Rankine (BTU/(lb·°R)) to Joules per Kilogram-Kelvin (J/(kg·K)) with our free online calculator.

Reviewed by Christopher FloiedUpdated

Formula: BTU/(lb·°R) to J/(kg·K)multiply by 4186.8

Reference Table

BTU per Pound-Rankine (BTU/(lb·°R))Joules per Kilogram-Kelvin (J/(kg·K))
14186.8
520934
1041868
25104670
50209340
100418680

How to Convert BTU per Pound-Rankine to Joules per Kilogram-Kelvin

Formula

To convert BTU per Pound-Rankine (BTU/(lb·°R)) to Joules per Kilogram-Kelvin (J/(kg·K)): multiply by 4186.8

Step-by-Step

  1. Start with your value in BTU per Pound-Rankine (BTU/(lb·°R)).
  2. Multiply by 4186.8 to perform the conversion.
  3. The result is your value expressed in Joules per Kilogram-Kelvin (J/(kg·K)).

Conversion Factor

1 BTU/(lb·°R) = 4186.8 J/(kg·K)

Reverse Factor

1 J/(kg·K) = 0.000238846 BTU/(lb·°R)

Worked Example

Convert 25 BTU per Pound-Rankine to Joules per Kilogram-Kelvin: 25 BTU/(lb·°R) = 104670 J/(kg·K)

About BTU per Pound-Rankine (BTU/(lb·°R))

An imperial specific-entropy unit equal to approximately 4,186.8 J/(kg·K) — numerically very close to (and traditionally used as numerically interchangeable with) the kJ/(kg·K) value, since BTU/(lb·°R) and kJ/(kg·K) have a conversion factor of exactly 4.1868 / 4.184 ≈ 1.0007 (a coincidence of imperial unit definitions). BTU/(lb·°R) is the dominant unit in US-edition steam tables (Keenan-Keyes-Hill, NIST/ASME Steam Tables US-customary printing), US-edition thermodynamics textbooks (Cengel-Boles, Moran-Shapiro-Boettner US editions; Borgnakke-Sonntag), ASHRAE Handbook tables (refrigerant data through 2024 edition still dual-lists), and US petroleum/refining process design per API and GPSA Engineering Data Book. Reference values: saturated liquid water at 70°F: s_f ≈ 0.0746 BTU/(lb·°R); saturated steam at 14.7 psia (1 atm boiling point): s_g ≈ 1.7567 BTU/(lb·°R); the entropy of vaporization at 1 atm s_fg ≈ 1.4446 BTU/(lb·°R). Convert BTU/(lb·°R) to kJ/(kg·K) by multiplying by 4.1868; the near-unity conversion is why dual-unit thermodynamics textbooks need only one decimal of precision to map between systems.

About Joule per Kilogram-Kelvin (J/(kg·K))

The SI unit of specific entropy (entropy per unit mass) per ISO 80000-5 §5-19.1 — used in steady-flow thermodynamics where the relevant entropy quantity is normalized to the mass flow rate through a control volume (nozzles, turbines, compressors, heat exchangers). J/(kg·K) is the universal output unit for computational thermodynamics libraries: CoolProp (open-source Helmholtz-energy-based property library), NIST REFPROP (the gold-standard reference fluid property database), IAPWS-IF97 industrial-formulation steam tables, and commercial process simulators (Aspen Plus, ChemCAD, HYSYS, ProMax). Dimensionally identical to specific heat capacity c_p in J/(kg·K), but physically distinct — entropy is a state function representing energy spreading, while c_p is a heat-flow response coefficient. Reference values per IAPWS-IF97: liquid water at 25°C has s ≈ 367 J/(kg·K); steam at 200°C and 1 bar has s ≈ 7,834 J/(kg·K); R-134a saturated vapor at 25°C has s ≈ 1,718 J/(kg·K); dry air at 25°C and 1 bar has s ≈ 6,876 J/(kg·K) (relative to reference state). Used universally in CFD strong-form energy-equation post-processing (ANSYS Fluent, OpenFOAM, STAR-CCM+).

Quick Facts

  • 1 BTU per Pound-Rankine equals 4186.8 Joules per Kilogram-Kelvin
  • 1 Joule per Kilogram-Kelvin equals 0.000238846 BTU per Pound-Rankine
  • BTU per Pound-Rankine is a unit of specific entropy
  • Joule per Kilogram-Kelvin is a unit of specific entropy
  • This conversion is commonly used in turbine design, refrigeration analysis, and power plant engineering
  • The BTU per Pound-Rankine belongs to the imperial system
  • The Joule per Kilogram-Kelvin belongs to the metric system

Common BTU per Pound-Rankine to Joule per Kilogram-Kelvin Conversions

BTU per Pound-Rankine (BTU/(lb·°R))Joules per Kilogram-Kelvin (J/(kg·K))
0.0141.868
0.1418.68
0.251046.7
0.52093.4
14186.8
28373.6
312560.4
520934
1041868
1562802
2083736
25104670
50209340
75314010
100418680
2501046700
5002093400
10004186800
500020934000
1000041868000

Understanding BTU per Pound-Rankine

The BTU per Pound-Rankine (symbol: BTU/(lb·°R)) is a unit of specific entropy. An imperial specific-entropy unit equal to approximately 4,186.8 J/(kg·K) — numerically very close to (and traditionally used as numerically interchangeable with) the kJ/(kg·K) value, since BTU/(lb·°R) and kJ/(kg·K) have a conversion factor of exactly 4.1868 / 4.184 ≈ 1.0007 (a coincidence of imperial unit definitions). BTU/(lb·°R) is the dominant unit in US-edition steam tables (Keenan-Keyes-Hill, NIST/ASME Steam Tables US-customary printing), US-edition thermodynamics textbooks (Cengel-Boles, Moran-Shapiro-Boettner US editions; Borgnakke-Sonntag), ASHRAE Handbook tables (refrigerant data through 2024 edition still dual-lists), and US petroleum/refining process design per API and GPSA Engineering Data Book. Reference values: saturated liquid water at 70°F: s_f ≈ 0.0746 BTU/(lb·°R); saturated steam at 14.7 psia (1 atm boiling point): s_g ≈ 1.7567 BTU/(lb·°R); the entropy of vaporization at 1 atm s_fg ≈ 1.4446 BTU/(lb·°R). Convert BTU/(lb·°R) to kJ/(kg·K) by multiplying by 4.1868; the near-unity conversion is why dual-unit thermodynamics textbooks need only one decimal of precision to map between systems.

It belongs to the imperial measurement system.

BTU per Pound-Rankine are commonly used in turbine design, refrigeration analysis, and power plant engineering.

Understanding Joules per Kilogram-Kelvin

The Joule per Kilogram-Kelvin (symbol: J/(kg·K)) is a unit of specific entropy. The SI unit of specific entropy (entropy per unit mass) per ISO 80000-5 §5-19.1 — used in steady-flow thermodynamics where the relevant entropy quantity is normalized to the mass flow rate through a control volume (nozzles, turbines, compressors, heat exchangers). J/(kg·K) is the universal output unit for computational thermodynamics libraries: CoolProp (open-source Helmholtz-energy-based property library), NIST REFPROP (the gold-standard reference fluid property database), IAPWS-IF97 industrial-formulation steam tables, and commercial process simulators (Aspen Plus, ChemCAD, HYSYS, ProMax). Dimensionally identical to specific heat capacity c_p in J/(kg·K), but physically distinct — entropy is a state function representing energy spreading, while c_p is a heat-flow response coefficient. Reference values per IAPWS-IF97: liquid water at 25°C has s ≈ 367 J/(kg·K); steam at 200°C and 1 bar has s ≈ 7,834 J/(kg·K); R-134a saturated vapor at 25°C has s ≈ 1,718 J/(kg·K); dry air at 25°C and 1 bar has s ≈ 6,876 J/(kg·K) (relative to reference state). Used universally in CFD strong-form energy-equation post-processing (ANSYS Fluent, OpenFOAM, STAR-CCM+).

It belongs to the metric measurement system.

Joules per Kilogram-Kelvin are commonly used in turbine design, refrigeration analysis, and power plant engineering.

Why Convert BTU per Pound-Rankine to Joules per Kilogram-Kelvin?

Converting between BTU per Pound-Rankine and Joules per Kilogram-Kelvin is a frequent requirement for engineers, scientists, and students working with specific entropy values. Different industries and regions favour different unit systems, so having a dependable conversion tool saves time and prevents errors in technical calculations. Whether you are verifying a specification sheet, cross-checking simulation results, or preparing a report for an international audience, accurate specific entropy conversion is essential.

Frequently Asked Questions

How do I convert BTU per Pound-Rankine to Joules per Kilogram-Kelvin?

An imperial specific-entropy unit equal to approximately 4,186. To convert BTU per Pound-Rankine to Joules per Kilogram-Kelvin, multiply by 4186.8. For example, 25 BTU/(lb·°R) equals 104670 J/(kg·K).

How many Joules per Kilogram-Kelvin are in 1 BTU per Pound-Rankine?

There are 4186.8 Joules per Kilogram-Kelvin in 1 BTU per Pound-Rankine.

How many BTU per Pound-Rankine are in 1 Joule per Kilogram-Kelvin?

There are 0.000238846 BTU per Pound-Rankine in 1 Joule per Kilogram-Kelvin.

What is the formula for BTU per Pound-Rankine to Joule per Kilogram-Kelvin conversion?

The formula is: multiply by 4186.8. This means 1 BTU/(lb·°R) = 4186.8 J/(kg·K).

Is a BTU per Pound-Rankine bigger than a Joule per Kilogram-Kelvin?

No. One BTU per Pound-Rankine is smaller than one Joule per Kilogram-Kelvin because 1 BTU/(lb·°R) equals 4186.8 J/(kg·K), which is greater than 1.

When do you need to convert between BTU per Pound-Rankine and Joules per Kilogram-Kelvin?

The SI unit of specific entropy (entropy per unit mass) per ISO 80000-5 §5-19. BTU per Pound-Rankine and Joule per Kilogram-Kelvin are both specific entropy units, so conversion comes up whenever one source of information uses one unit and another uses the other — a classic cross-reference challenge in engineering, trade, travel, and everyday life.

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