A temperature of `–40^(@)C` shall be equal to

Options

A. 233 K
B. `–40^(@)F`
C. `–32^(@)F`
D. `2^(@)F`

Answer

To convert the temperature of -40°C to Fahrenheit and Kelvin, we can follow these steps:

### Step 1: Convert Celsius to Kelvin
The formula to convert Celsius (°C) to Kelvin (K) is:
\[ K = °C + 273.15 \]

Substituting -40°C into the formula:
\[ K = -40 + 273.15 \]
\[ K = 233.15 \, K \]

### Step 2: Convert Celsius to Fahrenheit
The formula to convert Celsius (°C) to Fahrenheit (°F) is:
\[ °F = \left( °C \times \frac{9}{5} \right) + 32 \]

Substituting -40°C into the formula:
\[ °F = \left( -40 \times \frac{9}{5} \right) + 32 \]
\[ °F = (-72) + 32 \]
\[ °F = -40 \, °F \]

### Final Results
- The temperature of -40°C is equal to **233.15 K** in Kelvin.
- The temperature of -40°C is equal to **-40°F** in Fahrenheit.