Calculate the temperature of carbon dioxide gas using the ideal gas law and Van der Waals equation, and find the difference.

To solve this problem, we need to calculate the temperature of the carbon dioxide gas using two different models: the ideal gas law and the Van der Waals equation. Then, we will find the difference between these two temperatures.

First, let's list the given values and necessary constants.
Given:

• Volume of steel bomb, $V = 0.53 \text{ m}^3$
• Pressure, $P = 5.07 \text{ MPa} = 5.07 \times 10^6 \text{ Pa}$
• Amount of substance, $n$. The image is cut off, but "kmol" is visible. We will assume $n = 1 kmol = 1000