A gas of nitrogen molecules is at a temperature of 1000K. In this case molecule has 3 translational, 2 rotational, and 2 vibrational degrees of freedom per molecule, i.e. a total of 7.
1.1. [1pt] What is the root mean square velocity of the gas molecules in [m/s]?
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1.2. [1pt] What is the total mean thermal energy per molecule in [J]?
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1.3. [2pt] What is the heat capacitance of the gas per molecule, when the gas is heated under constant volume and under constant pressure (two different processes) in [k_B]?
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1.4. [1pt] What is the constant pressure heat capacitance of 1 mole of such a gas in [Cal]? How is it compared to water at room temperature?
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