The temperature of a body on the Kelvin scale | vedclass

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Question

(C) The relationship between the Kelvin scale $(K)$ and the Fahrenheit scale $(F)$ is given by the formula: $\frac{K - 273.15}{5} = \frac{F - 32}{9}$.

Vedclass · Accepted Answer

$574$

Vedclass · Answer

(C) The relationship between the Kelvin scale $(K)$ and the Fahrenheit scale $(F)$ is given by the formula: $\frac{K - 273.15}{5} = \frac{F - 32}{9}$.Given that the temperature is $x$ on both scales,we substitute $K = x$ and $F = x$ into the equation:$\frac{x - 273.15}{5} = \frac{x - 32}{9}$.Cross-multiplying gives: $9(x - 273.15) = 5(x - 32)$.$9x - 2458.35 = 5x - 160$.$4x = 2458.35 - 160$.$4x = 2298.35$.$x = \frac{2298.35}{4} \approx 574.58$.Rounding to the nearest whole number,we get $x \approx 574$.

The temperature of a body on the Kelvin scale is $x \ K$. When it is measured by a Fahrenheit thermometer,it is found to be $x \ ^{\circ}F$. The value of $x$ is (nearly):

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