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Convert BTU per Rankine to Kilojoules per Kelvin

Instantly convert BTU per Rankine (BTU/°R) to Kilojoules per Kelvin (kJ/K) with our free online calculator.

Reviewed by Christopher FloiedUpdated

Formula: BTU/°R to kJ/Kmultiply by 1.89911

Reference Table

BTU per Rankine (BTU/°R)Kilojoules per Kelvin (kJ/K)
11.89911
59.49555
1018.9911
2547.4778
5094.9555
100189.911

How to Convert BTU per Rankine to Kilojoules per Kelvin

Formula

To convert BTU per Rankine (BTU/°R) to Kilojoules per Kelvin (kJ/K): multiply by 1.89911

Step-by-Step

  1. Start with your value in BTU per Rankine (BTU/°R).
  2. Multiply by 1.89911 to perform the conversion.
  3. The result is your value expressed in Kilojoules per Kelvin (kJ/K).

Conversion Factor

1 BTU/°R = 1.89911 kJ/K

Reverse Factor

1 kJ/K = 0.526562 BTU/°R

Worked Example

Convert 25 BTU per Rankine to Kilojoules per Kelvin: 25 BTU/°R = 47.4778 kJ/K

About BTU per Rankine (BTU/°R)

An imperial entropy unit equal to approximately 1,899.11 J/K (1 BTU = 1,055.06 J, 1 °R = 5/9 K, ratio = 1,899.11). BTU/°R is the working unit of US-edition steam-table absolute entropy values (Keenan-Keyes-Hill steam tables, NIST/ASME Steam Tables published in BTU units), US refrigeration-cycle design per ASHRAE Handbook chapters 1-2 (Fundamentals + Refrigeration tables), and US-edition gas-cycle thermodynamics textbooks (Cengel-Boles, Moran-Shapiro both still publish dual-unit editions). Standard reference values: saturated liquid water at 70°F has absolute specific entropy s_f ≈ 0.0746 BTU/(lb·°R); saturated steam at 212°F (1 atm) has s_g ≈ 1.7567 BTU/(lb·°R) — the entropy gain of vaporization. Total entropy flows in US power-plant heat balances are sometimes reported in BTU/(°R·hr) or BTU/(°R·s). For a large industrial process like a 600 MW(e) coal-fired Rankine cycle, total entropy rejection rate ≈ 5 × 10⁶ BTU/(°R·hr). Convert BTU/°R to J/K by multiplying by 1899.11; to kJ/K by multiplying by 1.899.

About Kilojoule per Kelvin (kJ/K)

A metric entropy unit equal to exactly 1,000 J/K. kJ/K is the practical working unit for industrial/plant-scale thermodynamic analysis where total entropy flows are large enough that J/K becomes unwieldy: steam-power-plant Rankine-cycle second-law (exergy) evaluations per ASME PTC 4 / VDI 4655 / IEC 60953 standards, large refrigeration-cycle COP optimization (Carnot-to-actual entropy generation comparisons for chillers > 1 MW cooling capacity), industrial combustion entropy balances (cement-kiln Cl-Pre-Calciner systems, glass-furnace regenerators, blast-furnace iron-reduction processes), and gas-turbine combined-cycle (CCGT) plant heat-balance diagrams per IEC 60534. A typical 600 MW supercritical coal-fired power station rejects entropy at ~3,000 kJ/(K·s) to its cooling tower; nuclear PWR steam-generator secondary-side entropy generation ~5,000 kJ/(K·s); industrial-scale ammonia-synthesis (Haber-Bosch) reactor entropy generation ~50 kJ/(K·s). The kJ/K unit is dominant in EBSILON Professional, Aspen Plus, GateCycle, and Thermoflex cycle-simulation software output reports.

Quick Facts

  • 1 BTU per Rankine equals 1.89911 Kilojoules per Kelvin
  • 1 Kilojoule per Kelvin equals 0.526562 BTU per Rankine
  • BTU per Rankine is a unit of entropy
  • Kilojoule per Kelvin is a unit of entropy
  • This conversion is commonly used in thermodynamics, refrigeration cycles, and chemical engineering
  • The BTU per Rankine belongs to the imperial system
  • The Kilojoule per Kelvin belongs to the metric system

Common BTU per Rankine to Kilojoule per Kelvin Conversions

BTU per Rankine (BTU/°R)Kilojoules per Kelvin (kJ/K)
0.010.0189911
0.10.189911
0.250.474777
0.50.949555
11.89911
23.79822
35.69733
59.49555
1018.9911
1528.4866
2037.9822
2547.4778
5094.9555
75142.433
100189.911
250474.777
500949.555
10001899.11
50009495.55
1000018991.1

Understanding BTU per Rankine

The BTU per Rankine (symbol: BTU/°R) is a unit of entropy. An imperial entropy unit equal to approximately 1,899.11 J/K (1 BTU = 1,055.06 J, 1 °R = 5/9 K, ratio = 1,899.11). BTU/°R is the working unit of US-edition steam-table absolute entropy values (Keenan-Keyes-Hill steam tables, NIST/ASME Steam Tables published in BTU units), US refrigeration-cycle design per ASHRAE Handbook chapters 1-2 (Fundamentals + Refrigeration tables), and US-edition gas-cycle thermodynamics textbooks (Cengel-Boles, Moran-Shapiro both still publish dual-unit editions). Standard reference values: saturated liquid water at 70°F has absolute specific entropy s_f ≈ 0.0746 BTU/(lb·°R); saturated steam at 212°F (1 atm) has s_g ≈ 1.7567 BTU/(lb·°R) — the entropy gain of vaporization. Total entropy flows in US power-plant heat balances are sometimes reported in BTU/(°R·hr) or BTU/(°R·s). For a large industrial process like a 600 MW(e) coal-fired Rankine cycle, total entropy rejection rate ≈ 5 × 10⁶ BTU/(°R·hr). Convert BTU/°R to J/K by multiplying by 1899.11; to kJ/K by multiplying by 1.899.

It belongs to the imperial measurement system.

BTU per Rankine are commonly used in thermodynamics, refrigeration cycles, and chemical engineering.

Understanding Kilojoules per Kelvin

The Kilojoule per Kelvin (symbol: kJ/K) is a unit of entropy. A metric entropy unit equal to exactly 1,000 J/K. kJ/K is the practical working unit for industrial/plant-scale thermodynamic analysis where total entropy flows are large enough that J/K becomes unwieldy: steam-power-plant Rankine-cycle second-law (exergy) evaluations per ASME PTC 4 / VDI 4655 / IEC 60953 standards, large refrigeration-cycle COP optimization (Carnot-to-actual entropy generation comparisons for chillers > 1 MW cooling capacity), industrial combustion entropy balances (cement-kiln Cl-Pre-Calciner systems, glass-furnace regenerators, blast-furnace iron-reduction processes), and gas-turbine combined-cycle (CCGT) plant heat-balance diagrams per IEC 60534. A typical 600 MW supercritical coal-fired power station rejects entropy at ~3,000 kJ/(K·s) to its cooling tower; nuclear PWR steam-generator secondary-side entropy generation ~5,000 kJ/(K·s); industrial-scale ammonia-synthesis (Haber-Bosch) reactor entropy generation ~50 kJ/(K·s). The kJ/K unit is dominant in EBSILON Professional, Aspen Plus, GateCycle, and Thermoflex cycle-simulation software output reports.

It belongs to the metric measurement system.

Kilojoules per Kelvin are commonly used in thermodynamics, refrigeration cycles, and chemical engineering.

Why Convert BTU per Rankine to Kilojoules per Kelvin?

Converting between BTU per Rankine and Kilojoules per Kelvin is a frequent requirement for engineers, scientists, and students working with 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 entropy conversion is essential.

Frequently Asked Questions

How do I convert BTU per Rankine to Kilojoules per Kelvin?

An imperial entropy unit equal to approximately 1,899. To convert BTU per Rankine to Kilojoules per Kelvin, multiply by 1.89911. For example, 25 BTU/°R equals 47.4778 kJ/K.

How many Kilojoules per Kelvin are in 1 BTU per Rankine?

There are 1.89911 Kilojoules per Kelvin in 1 BTU per Rankine.

How many BTU per Rankine are in 1 Kilojoule per Kelvin?

There are 0.526562 BTU per Rankine in 1 Kilojoule per Kelvin.

What is the formula for BTU per Rankine to Kilojoule per Kelvin conversion?

The formula is: multiply by 1.89911. This means 1 BTU/°R = 1.89911 kJ/K.

Is a BTU per Rankine bigger than a Kilojoule per Kelvin?

No. One BTU per Rankine is smaller than one Kilojoule per Kelvin because 1 BTU/°R equals 1.89911 kJ/K, which is greater than 1.

When do you need to convert between BTU per Rankine and Kilojoules per Kelvin?

A metric entropy unit equal to exactly 1,000 J/K. BTU per Rankine and Kilojoule per Kelvin are both 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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