Question

Convert ${50}^{\circ }C$ into Kelvin and Fahrenheit scale.

• A. $323K$ and ${150}^{\circ }F$
• B. $420K$ and ${222}^{\circ }F$
• C. $423K$ and ${122}^{\circ }F$
• D. $323K$ and ${122}^{\circ }F$

Answer 1

The correct option is D $323K$ and ${122}^{\circ }F$

Given temperature in Celsius scale, $C={50}^{\circ }C$.
Let $K$ be the temperature in Kelvin scale and $F$ be the temperature in Fahrenheit scale.
We know, $K=273+C=273+50=323K$
Also, we know that, $C=\frac{5}{9}(F-32)$
$\Rightarrow 50=\frac{5}{9}(F-32)$
$\Rightarrow F=\left(\frac{9\times 50}{5}\right)+32={122}^{\circ }F$