Like the Kelvin scale, the Rankine scale is an absolute temperature scale: Absolute zero is zero degrees Rankine (0°R). However, the units of this scale are the same size as those of the Fahrenheit scale rather than the Celsius scale. What is the numerical value of the triple-point temperature of water on the Rankine scale?

Verified step by step guidance

1. Identify the triple-point temperature of water on the Celsius scale, which is known to be 0.01°C.
2. Convert the Celsius temperature to Fahrenheit using the conversion formula: \( F = \frac{9}{5}C + 32 \).
3. Calculate the Fahrenheit temperature by substituting the Celsius value of the triple-point into the conversion formula.
4. Convert the Fahrenheit temperature to Rankine using the conversion formula: \( R = F + 459.67 \).
5. Calculate the Rankine temperature by substituting the Fahrenheit value obtained in the previous step into the conversion formula.

Key Concepts

Absolute Temperature Scales

Absolute temperature scales, such as Kelvin and Rankine, define temperature starting from absolute zero, the theoretical point where molecular motion ceases. The Kelvin scale uses Celsius-sized units, while the Rankine scale uses Fahrenheit-sized units, making them suitable for different scientific applications. Understanding these scales is crucial for converting temperatures and comparing thermodynamic properties.

Triple Point of Water

The triple point of water is a specific temperature and pressure at which water can coexist in all three phases: solid (ice), liquid (water), and gas (vapor). This point occurs at 273.16 K (or 0.01 °C) and is a fundamental reference point in thermodynamics. It is essential for defining temperature scales and understanding phase transitions.

Temperature Conversion

Temperature conversion involves translating temperature values between different scales, such as Celsius, Fahrenheit, and Rankine. The conversion from Celsius to Rankine can be done using the formula R = (C × 9/5) + 491.67. Mastery of these conversions is necessary for accurately interpreting temperature readings in various scientific contexts.