Using the conventional whole-number approximation of absolute zero as –273 °C,…
2023
Using the conventional whole-number approximation of absolute zero as –273 °C, what is its value on the Fahrenheit scale?
Answer: C. –459·4 °F — ConceptAbsolute zero is the lowest thermodynamic temperature, corresponding to zero kelvin, where an ideal system has minimum thermal energy. The Celsius and…
- A.
0 °F
- B.
–22 °F
- C.
–459·4 °F
- D.
More than one of the above
- E.
None of the above
Attempted by 10 students.
Show answer & explanation
Correct answer: C
Concept
Absolute zero is the lowest thermodynamic temperature, corresponding to zero kelvin, where an ideal system has minimum thermal energy.
The Celsius and Fahrenheit scales are related by F = (9/5)C + 32, so the same physical temperature can be expressed on either scale.
Application
Use the whole-number approximation stated in the stem: C = –273 °C.
Substitute into the conversion: F = (9/5)(–273) + 32.
Calculate F = –491.4 + 32 = –459.4 °F.
Cross-check
Using the precise value C = –273.15 °C gives F = –459.67 °F; the listed value –459·4 °F comes from the conventional whole-number approximation –273 °C.
Therefore, on the approximation used by the options, absolute zero is –459·4 °F.