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 measurements 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 313k.
(ii) If the temperature is 158°F, then find the temperature in kelvin.

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Answer 1

$\textbf{\underline{Answer :}}$

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 $\fbox{104°\:F}$

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 $\fbox{343\:K}$

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Answer 2

Answer:

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