On a temperature scale ' X '. The boiling point of water is 65∘X and the freezing point is −15∘X. Assume that the X scale is linear. The equivalent temperature corresponding to −95∘X on the Farenheit scale would be:
Question
On a temperature scale ' X '. The boiling point of water is 65∘X and the freezing point is −15∘X. Assume that the X scale is linear. The equivalent temperature corresponding to −95∘X on the Farenheit scale would be:
Solution
To solve this problem, we first need to understand the relationship between the X scale and the Fahrenheit scale. We know that on the Fahrenheit scale, the boiling point of water is 212°F and the freezing point is 32°F.
Step 1: Find the conversion factor between the X scale and the Fahrenheit scale.
The difference between the boiling point and the freezing point of water is the same on both scales. So, we can set up the following equation:
(65 - (-15))X = 212 - 32 80X = 180 X = 180 / 80 X = 2.25
This means that each degree on the X scale corresponds to 2.25 degrees on the Fahrenheit scale.
Step 2: Convert -95∘X to the Fahrenheit scale.
Now that we know the conversion factor, we can convert -95∘X to the Fahrenheit scale:
-95 * 2.25 = -213.75°F
So, -95∘X is equivalent to -213.75°F on the Fahrenheit scale.
Similar Questions
On a temperature scale P, water freezes at −1600𝑃 and boils at −500𝑃 . On this P scale, a temperature of 340 K is
What is the freezing point of water in degree Fahrenheit?
The boiling point of water decreases with altitude. At an altitude ℎ metres above sealevel, the boiling point of water is approximately 100 — 𝑇 degrees C where 𝑇 satisfiesthe equation 𝑇2 + 244𝑇 − ℎ = 0What is the boiling point when ℎ = 1500 metres?
A mercury thermometer, graduated linearly, is immersed in the melting ice; mercury is at the division n=-3. In boiling water, under atmospheric pressure it reaches the n= +105 division. 1- In a warm bath, the mercury is at the division n=40. Determine the temperature T of the bath. 2- Determine the temperature for which there is no correction.
What is the boiling point of water in Kelvin?
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.