Find the false statement for ideal gases.

Find the false statement for ideal gases.
  1. Kinetic energy of $1 \mathrm{~mol}$ of gas depends on mass of the gas molecule.
  2. Kinetic energy increases with increase in temperature.
  3. Kinetic energy of $1 \mathrm{~g}$ of $\mathrm{H}_2$ is higher than that $8 \mathrm{~g}$ of $\mathrm{O}_2$ at the some temperature.
  4. At a given temperature, kinetic energy does not depend on the pressure of the gas.

Solution

K.E. $=\frac{1}{2} \mathrm{mv}_{\mathrm{rms}}^2 ; \mathrm{v}_{\mathrm{rms}}=\sqrt{\frac{3 \mathrm{KT}}{\mathrm{m}}}$ At a given temperature $T, v_{\text {rms }} \propto \frac{1}{\sqrt{\mathrm{m}}}$ $\therefore$ K.E. of 1 mol. of gas is independent of the gas molecules.

Asked in: AP EAMCET 2022 (05 Jul Shift 2)

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