To convert a temperature from Kelvin to Fahrenheit, you can use the following formula:
\[ °F = \left( K - 273.15 \right) \times \frac{9}{5} + 32 \]
Given that liquid nitrogen boils at 77 K, you can plug that value into the formula:
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Start with the temperature in Kelvin: \[ K = 77 \]
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Subtract 273.15 to convert to Celsius: \[ C = 77 - 273.15 = -196.15 °C \]
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Convert Celsius to Fahrenheit: \[ °F = \left( -196.15 \right) \times \frac{9}{5} + 32 \] \[ °F = -352.07 + 32 = -320.07 °F \]
Therefore, 77 K is approximately \(-320.07 °F\).
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