When dealing with temperature conversions, especially in engineering and thermodynamics, it becomes essential to switch between different scales like Celsius (°C), Fahrenheit (°F), Kelvin (K), and Rankine (°R). Each scale has its own applications, and Rankine is particularly useful in fields involving thermodynamic equations in the United States, where Fahrenheit is widely used.
In this guide, we will calculate the Rankine equivalent of 100.876 °C, explain the conversion process, and provide the formula with step-by-step calculation.
🔹 Rankine Scale
The Rankine scale (°R) is an absolute temperature scale, similar to Kelvin. However, while Kelvin is based on Celsius increments, Rankine is based on Fahrenheit increments.
- 0 K = 0 °R = Absolute Zero (the lowest possible temperature)
- 1 °R = 1 °F (same step size as Fahrenheit, but starts from absolute zero)
This makes Rankine the preferred temperature scale in thermodynamics and heat transfer calculations in the U.S.
🔹 Conversion Formula: Celsius to Rankine
To convert Celsius (°C) into Rankine (°R), we use the following formula: °R=(°C+273.15)×95°R = (°C + 273.15) \times \frac{9}{5}°R=(°C+273.15)×59
Where:
- 273.15 adjusts Celsius to Kelvin (absolute scale).
- 9/5 accounts for the Fahrenheit–Rankine relationship.
🔹 Step-by-Step Conversion of 100.876 °C to Rankine
Now, let’s apply the formula: °R=(100.876+273.15)×95°R = (100.876 + 273.15) \times \frac{9}{5}°R=(100.876+273.15)×59
Step 1: Add 273.15 to Celsius
100.876+273.15=374.026 K100.876 + 273.15 = 374.026 \, K100.876+273.15=374.026K
Step 2: Multiply by 9/5
374.026×1.8=673.2468 °R374.026 \times 1.8 = 673.2468 \, °R374.026×1.8=673.2468°R
✅ Final Answer: 100.876°C=673.25°R (Rankine)100.876 °C = 673.25 °R \, (Rankine)100.876°C=673.25°R(Rankine)
🔹 Why is Rankine Used?
The Rankine scale is important in thermodynamics, aerospace engineering, and gas dynamics, particularly in the U.S. Some common uses include:
- Heat transfer calculations
- Gas law equations (PV = nRT)
- Thermodynamic cycle analysis (e.g., Rankine Cycle in steam power plants)
🔹 Quick Reference Table: Celsius to Rankine
| Celsius (°C) | Rankine (°R) |
|---|---|
| 0 °C | 491.67 °R |
| 25 °C | 536.67 °R |
| 50 °C | 581.67 °R |
| 100 °C | 671.67 °R |
| 100.876 °C | 673.25 °R |
🔹 Final Thoughts
The Rankine equivalent of 100.876 °C is 673.25 °R. By understanding the formula and step-by-step calculation, you can easily convert temperatures between these two scales.
In summary: °R=(°C+273.15)×1.8°R = (°C + 273.15) \times 1.8°R=(°C+273.15)×1.8
This formula ensures accuracy in scientific and engineering applications, making temperature conversions straightforward and reliable.