Question

$-{40}^{0}C$ is numerically equal to ___________.

• A. $-{40}^{0}F$
• B. $233K$
• C. $-{32}^{0}R$
• D. All the above.

Answer 1

Answer: (A), (B)

$233K$

Step 1: Given data

Temperature, $C=-{40}^{0}C$

Step 2: Converting Celsius to Fahrenheit

We know that, $\frac{C}{5}=\frac{F-32}{9}=\frac{K-273}{5}$

Thus, $\frac{40}{5}=\frac{F-32}{9}$

$$\begin{gathered} \Rightarrow F-32=-72 \\ F=-{40}^{0}F \end{gathered}$$

Therefore, $-{40}^{0}C=-{40}^{0}F$

Hence, option (A) is correct

Step 3: Converting Celsius to Kelvin

$\frac{C}{5}=\frac{K-273}{5}$

$\frac{-40}{5}=\frac{K-273}{5}$

$-40=K-273$

$K=273-40$

$K=233$

Therefore, $-{40}^{0}C=233K$

Hence, option (B) is correct.

Therefore, option (A) and option (B) both are the correct answer.