Moderate

The internal energy of monatomic and diatomic gases are respectively due to:

Correct answer: A. Linear motion and rolling motion

  • A. Linear motion and rolling motion
  • B. rolling motion and linear motion
  • C. Linear motion and rotatory motion
  • D. rotatory motion and linear motion

Explanation

The internal energy of a monatomic gas is due to linear motion only and that of the diatomic gas is due to rolling (linear rotatory) motion. monatomic gases have internal energy primarily associated with translational kinetic energy, while diatomic gases have internal energy associated with both translational and rotational kinetic energy, and at higher temperatures, they may also have vibrational contributions. The key difference is the number of degrees of freedom and the way these degrees of freedom contribute to the internal energy.

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About Molar Specific Heat of a Gas

Molar specific heat is the heat required to raise the temperature of one mole of a gas by one kelvin, expressed through Q = nCΔT. Questions compare the constant volume value Cv with the constant pressure value Cp, apply the ideal gas relation Cp − Cv = R, and identify how the thermodynamic process affects heat capacity.

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