Question

Absolute zero is what temperature on the Fahrenheit scale.

Short answer

The absolute temperature at the Fahrenheit scale is \( - 459.67\,{\rm{^\circ F}}\).

Step-by-step solution

Meaning of temperature

The degree of cold or heat of a solid, liquid, or gas is expressed in temperature. The temperature can be expressed in Celsius scale, Fahrenheit scale, or Kelvin.

The expression for convert the temperature from Celsius scale to Fahrenheit scale is as follows:

\(T\left( {{\rm{^\circ F}}} \right) = \frac{9}{5}T\left( {{\rm{^\circ C}}} \right) + 32\)

Here, \(T\left( {{\rm{^\circ F}}} \right)\)is the temperature at the Fahrenheit scale, and \(T\left( {{\rm{^\circ C}}} \right)\) is the temperature at the Celsius scale.

Given information

The absolute zero at the Celsius scale \(T\left( {{\rm{^\circ C}}} \right) = - 273.15\,{\rm{^\circ C}}\).

Conversion of absolute zero at Fahrenheit scale

The absolute zero at Fahrenheit scale can be calculated as follows:

\(\begin{aligned}{c}T\left( {{\rm{^\circ F}}} \right) &= \frac{9}{5}\left( { - 273.15\,^\circ C} \right) + 32\\ &= - 491.67 + 32\\ &= - 459.67\,\,{\rm{^\circ F}}\end{aligned}\)

Therefore, the absolute zero at the Fahrenheit scale is \( - 459.67\,{\rm{^\circ F}}\).