Question

Oxygen condenses into a liquid at approximately 90.2 K. To what temperature does this correspond on both the Celsius and Fahrenheit temperature scales?

Answer 1

To convert from Kelvin (K) to Celsius (°C) and Fahrenheit (°F), we can use the following formulas:

1. **Celsius (°C)**:
\[
°C = K - 273.15
\]

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

Starting with the conversion from Kelvin to Celsius:

\[
°C = 90.2 \, K - 273.15 = -182.95 \, °C
\]

Next, we convert Celsius to Fahrenheit:

\[
°F = (-182.95) \times \frac{9}{5} + 32
\]

Calculating the multiplication:

\[
°F = -327.31 + 32 = -295.31 \, °F
\]

Therefore, the temperature corresponding to 90.2 K is approximately:
- **Celsius**: -182.95 °C
- **Fahrenheit**: -295.31 °F