Question

The relation between the two systems of measurement of temperature Kelvin and Fahrenheit is given by the linear equation F = 9 5 ( − 273) + 32 i) Find the temperature of the liquid in Fahrenheit if the temperature of the liquid is 3130K. ii) If the temperature is 1580F , 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 = 313K

From (i), we get

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

= 9/5 (40) + 32

= (9 × 8) + 32 X

= 72 +32

= 104

Therefore, the temperature of the liquid

in

Fahrenheit scale be

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 343 K

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