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If the temperature of a liquid can be measured in Kelvin units as x^{\circ}K or in Fahrenheit units as y^{\circ}F, the relation between the two systems of measurement of temperature is given by the linear equation y =\frac{9}{5}(x-273)+32.Find the temperature of the liquid in Fahrenheit if the temperature of the liquid is 313^{\circ}K.

 

 

 

If the temperature of a liquid can be measured in Kelvin units as x^{\circ}K or in Fahrenheit units as y^{\circ}F, the relation between the two systems of measurement of temperature is given by the linear equation y =\frac{9}{5}(x-273)+32.If the temperature is 158^{\circ}F, then find the temperature in Kelvin.

 

 

 

Answers (1)

Answer:

104^{\circ}F

Solution:

Given that,

y =\frac{9}{5}(x-273)+32

Put the value of x = 313^{\circ}K in equation (1), we get

y =\frac{9}{5}(313-273)+32

y =\frac{9}{5}(40)+32

y =\frac{360}{5}+32

y = 72 + 32

y =104^{\circ}F

Answer:

343K

Solution:

Given that, y =\frac{9}{5}(x-273)+32

Put y=158^{\circ} in equation (1) we get

158^{\circ} =\frac{9}{5}(x-273)+32

158^{\circ} =\frac{9(x-273)+160}{5}

790 – 160 = 9x – 2457

630 + 2457 = 9x

3087 = 9x

343 = x

Hence answer is 343K

Posted by

infoexpert21

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