Internal energy of an ideal gas depends on which factors and does not depend on which factors?

  • A
    Depends on temperature; does not depend on volume or pressure.
  • B
    Depends on volume; does not depend on temperature.
  • C
    Depends on pressure; does not depend on temperature.
  • D
    Depends on both temperature and volume.

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$Assertion$: The total translational kinetic energy of all the molecules of a given mass of an ideal gas is $1.5$ times the product of its pressure and its volume.
$Reason$: The molecules of a gas collide with each other and the velocities of the molecules change due to the collision.

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Consider a rectangular block of wood moving with a velocity $v_{0}$ in a gas at temperature $T$ and mass density $\rho$. Assume the velocity is along the x-axis and the area of cross-section of the block perpendicular to $v_{0}$ is $A$. Show that the drag force on the block is $4\rho A v_{0} \sqrt{\frac{kT}{m}}$,where $m$ is the mass of the gas molecule.

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