Question

Liquid nitrogen is used to cool substances to very low temperatures. Express the boiling point of liquid nitrogen (77.34 K at 1 atm of pres- sure) in degrees Celsius and in degrees Fahrenheit.

Answer 1

To convert the boiling point of liquid nitrogen from Kelvin to degrees Celsius and degrees Fahrenheit, we use the following formulas:

1. **Kelvin to Celsius**:
\[
°C = K - 273.15
\]

2. **Celsius to Fahrenheit**:
\[
°F = (°C \times \frac{9}{5}) + 32
\]

### Step 1: Convert Kelvin to Celsius
Given the boiling point of liquid nitrogen is 77.34 K:
\[
°C = 77.34 - 273.15 = -195.81 °C
\]

### Step 2: Convert Celsius to Fahrenheit
Now, convert -195.81 °C to Fahrenheit:
\[
°F = (-195.81 \times \frac{9}{5}) + 32
\]
\[
°F = (-351.458) + 32 = -319.458 °F
\]

### Final Results
- **Boiling Point of Liquid Nitrogen**:
- In Celsius: **-195.81 °C**
- In Fahrenheit: **-319.46 °F** (rounded to two decimal places)