Liquid nitrogen boils at 77 K. Convert this temperature to degrees Fahrenheit.

Express the temperature in Fahrenheit as an integer.

1 answer

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.