Question

If the temperature of a liquid can be measured in Kelvin units as x°K or in Fahrenheit
units as y°F, the relation between the two systems of measurement of temperature is
given by the linear equation
y =9/5(x−273)+32
(i) Find the temperature of the liquid in Fahrenheit, if the temperature of the liquid is
313°K.
(ii) If the temperature is 158°F, then find the temperature in Kelvin

Answer 1

Answer:

Relationship between Kelvin and Fahrenheit is

y = 9/5 (x - 273) + 32 ...(1)

i)

Given that, x = 313 K

From (i), we get

y = 9/5 (313 - 273) + 32

= 9/5 (40) + 32

= (9 × 8) + 32

= 72 + 32

= 104

Therefore, the temperature of the liquid in

Fahrenheit scale be \fbox{104°\:F}

104°F

ii)

Given that, y = 158° F

From (1), we get

158 = 9/5 (x - 273) + 32

or, 9/5 (x - 273) = 158 - 32

or, 9/5 (x - 273) = 126

or, x - 273 = 5/9 (126)

or, x - 273 = (5 × 14)

or, x = 70 + 273

or, x = 343

Therefore, the temperature of the liquid in

Kelvin scale be \fbox{343\:K}

343K