The temperature of a body on the Kelvin scale | vedclass

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Question

(B) The relationship between the Fahrenheit scale $(F)$ and the Kelvin scale $(K)$ is given by the formula: $\frac{F - 32}{9} = \frac{K - 273}{5}$.Giv

Vedclass · Accepted Answer

$574.25$

Vedclass · Answer

(B) The relationship between the Fahrenheit scale $(F)$ and the Kelvin scale $(K)$ is given by the formula: $\frac{F - 32}{9} = \frac{K - 273}{5}$.Given that the temperature is $X$ on both scales,we substitute $F = X$ and $K = X$ into the equation:$\frac{X - 32}{9} = \frac{X - 273}{5}$.Cross-multiplying gives: $5(X - 32) = 9(X - 273)$.Expanding the terms: $5X - 160 = 9X - 2457$.Rearranging the terms to solve for $X$: $9X - 5X = 2457 - 160$.$4X = 2297$.$X = \frac{2297}{4} = 574.25$.Therefore,the value of $X$ is $574.25$.

The temperature of a body on the Kelvin scale is found to be $X \; K$. When it is measured by a Fahrenheit thermometer,it is found to be $X \; ^\circ F$. Then $X$ is:

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