Question

the Fahrenheit temperature f and absolute temperature k satisfy a linear equation . Given that K =273 when F= 32 and that k=373 when F= 212 . Express k in terms of f and find the value of f ,when k =0​

Answer 1

Given info : The Fahrenheit temperature f and absolute temperature K satisfy a linear equation. given that when K =273 and F = 32°F and when K = 373 , F = 212°F.

To find : express K in term of F.

Solution : relation between Kelvin and Fahrenheit scale is ...

(F - 32)/(212 - 32) = (K - 273)/(373 - 273)

⇒(F - 32)/180 = (K - 273)/100

Therefore relation between Fahrenheit and Kelvin is (F - 32)/180 = (K - 273)/100.

Now we have to find value of Fahrenheit when Kelvin scale reading is k = 0

(F - 32)/180 = (0 - 273)/100

⇒F - 32 = 180/100 × -273 = -491.4

⇒F = 459.4

Therefore the reading of Fahrenheit scale is -459.4°F