‘Temperature difference of 5 K is equal to difference of 2.8 on the Rankine scale_ difference of 9 on the Celsius scale_ difference of 2.8 on the Celsius scale_ difference of 9 on the Fahrenheit scale. difference of .5 on the Fahrenheit scale_’
The Correct Answer and Explanation is:
Correct Answer:
difference of 9 on the Fahrenheit scale
Explanation:
To understand the relationship between temperature differences in various units, it is important to recall the conversion factors between the Kelvin, Celsius, Fahrenheit, and Rankine scales.
🔹 Relationship Between Temperature Scales:
- Kelvin (K) and Celsius (°C) are related by:
K = °C + 273.15
So, a change of 1 K = a change of 1 °C. - Fahrenheit (°F) and Celsius (°C) are related by:
°F = (°C × 9/5) + 32
This means a change of 1 °C equals a change of 1.8 °F. - Rankine (°R) and Fahrenheit (°F) are related by:
°R = °F + 459.67
A change of 1 °R equals a change of 1 °F. - Rankine (°R) and Kelvin (K) are related by:
°R = K × 9/5
Therefore, a temperature change of 1 K = 1.8 °R.
🔸 Converting 5 K to Fahrenheit Difference:
Since
1 K = 1.8 °F,
then
5 K = 5 × 1.8 = 9 °F
✅ Elimination of Incorrect Options:
- 2.8 on the Rankine scale:
5 K × 1.8 = 9°R, so 2.8 is incorrect. - 9 on the Celsius scale:
5 K = 5 °C, not 9 °C. - 2.8 on the Celsius scale:
Again, 5 K = 5 °C. So 2.8 is wrong. - 9 on the Fahrenheit scale:
✅ Correct — 5 K = 9 °F - 0.5 on the Fahrenheit scale:
Way too small. 1 K = 1.8 °F, so 0.5 °F is incorrect.
✅ Final Answer:
difference of 9 on the Fahrenheit scale
