Question

If the temperature of a liquid can be measured in kelvin units as $x$ 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 K.

• A. 72
• B. 96
• C. 429
• D. 104

Answer 1

The correct option is D 104

Given relation is
$y=\frac{9}{5}(x-273)+32....\left(i\right)$

Given, $x=313$ K
By subtituting value of x in $\left(i\right)$, we get
$y=\frac{9}{5}(313-273)+32$
$=\frac{9}{5}\times 40+32$
$=72+32={104}^{\circ }F$

$\therefore$ The temperature of the liquid of 313 K in fahrenheit is 104${}^{\circ }.$