The triple point of carbon dioxide is `216.55` K the corresponding temperature on the celsius and Fahrenheit scale respectively are

Options

A. `-56.45^(@)C, -69.61^(@)F`
B. `-56.45^(@)C, 69.61^(@)F`
C. `54.45^(@)C,69.61^(@)F`
D. `-5445^(@),-6961^(@)F`

Explanation

To find the corresponding temperatures on the Celsius and Fahrenheit scales for the triple point of carbon dioxide at 216.55 K, we can follow these steps:

### Step-by-Step Solution:

1. **Convert Kelvin to Celsius:**
The formula to convert Kelvin (K) to Celsius (°C) is:
\[ T(°C) = T(K) - 273.15 \]
Given \( T(K) = 216.55 \):
\[ T(°C) = 216.55 - 273.15 = -56.60 °C \]

2. **Convert Celsius to Fahrenheit:**
The formula to convert Celsius (°C) to Fahrenheit (°F) is:
\[ T(°F) = \left( T(°C) \times \frac{9}{5} \right) + 32 \]
Using \( T(°C) = -56.60 \):
\[ T(°F) = \left( -56.60 \times \frac{9}{5} \right) + 32 \]
\[ T(°F) = \left( -101.88 \right) + 32 = -69.88 °F \]

3. **Final Answer:**
The corresponding temperatures at the triple point of carbon dioxide are:
- Celsius: \( -56.60 °C \)
- Fahrenheit: \( -69.88 °F \)

### Summary:
- The triple point of carbon dioxide at 216.55 K corresponds to approximately \( -56.60 °C \) and \( -69.88 °F \).