Answer:
Step-by-step explanation:
To calculate the molar internal energy of a gas at a given temperature, you need to know the molar specific heat capacities at constant volume and constant pressure for the gas. These values are typically provided in tables of thermodynamic data, which can be found in various sources such as textbooks or online. Since you mentioned that you want to take the translational and rotational degrees of freedom into consideration, you will need to use the molar specific heat capacity at constant volume, which accounts for these degrees of freedom.
Once you have the molar specific heat capacity at constant volume for the gas, you can use the equation U = Cv * T, where U is the molar internal energy, Cv is the molar specific heat capacity at constant volume, and T is the temperature in kelvins. In your case, the temperature is 298.15 K, so plugging in the appropriate values and solving for U will give you the molar internal energy of carbon dioxide at that temperature.
It's important to note that the molar specific heat capacity at constant volume is typically a function of temperature, so you will need to use the appropriate value for the temperature you are interested in. Additionally, different sources may provide slightly different values for the molar specific heat capacity, so it's always a good idea to consult multiple sources to get a sense of the range of possible values.