Question

Liquid nitrogen boils at 77 K. Convert this temperature to degrees Fahrenheit.
Express the temperature in Fahrenheit as an integer.

Answer 1

To convert a temperature from Kelvin (K) to Fahrenheit (°F), you can use the following formula:

\[
°F = \left( K - 273.15 \right) \times \frac{9}{5} + 32
\]

Now, substituting 77 K into the formula:

\[
°F = \left( 77 - 273.15 \right) \times \frac{9}{5} + 32
\]

Calculating \( 77 - 273.15 \):

\[
77 - 273.15 = -196.15
\]

Now, multiplying by \( \frac{9}{5} \):

\[
-196.15 \times \frac{9}{5} = -352.71
\]

Finally, adding 32:

\[
°F = -352.71 + 32 = -320.71
\]

Rounding this to the nearest integer gives:

\[
°F \approx -321
\]

Therefore, the temperature in degrees Fahrenheit is **-321°F**.