The Rankine temperature scale used in engineering is to the Fahrenheit scale as the Kelvin scale is to the Celsius scale. That is, 1 Rankine degree is the same size as 1 Fahrenheit degree, and 0 °R = absolute zero. (a) What temperature corresponds to the freezing point of water on the Rankine scale?

Verified step by step guidance

1. Identify the freezing point of water in Fahrenheit, which is 32°F.
2. Understand that the Rankine scale is to Fahrenheit as Kelvin is to Celsius, meaning 0°R is absolute zero.
3. Use the relationship between Fahrenheit and Rankine: °R = °F + 459.67.
4. Substitute the freezing point of water in Fahrenheit into the equation: °R = 32 + 459.67.
5. Simplify the equation to find the temperature in Rankine at the freezing point of water.

Key Concepts

Rankine Temperature Scale

The Rankine scale is an absolute temperature scale used primarily in engineering. It is similar to the Kelvin scale but uses Fahrenheit degrees instead of Celsius. On this scale, absolute zero is defined as 0 °R, and the size of one Rankine degree is equivalent to one Fahrenheit degree.

Freezing Point of Water

The freezing point of water is the temperature at which water transitions from liquid to solid, typically defined as 0 °C or 32 °F. In the Rankine scale, this temperature must be converted from Celsius or Fahrenheit to find its equivalent, which is essential for solving the problem presented.

Temperature Conversion

Temperature conversion involves changing a temperature value from one scale to another, such as Celsius to Rankine. The formula provided in the image indicates a specific conversion factor, which is crucial for accurately determining the freezing point of water in the Rankine scale. Understanding these conversions is fundamental in thermodynamics and engineering applications.