An ideal gas in a closed container is slowly heated. As its temperature increases, which of the following statements are true$?$

$(A)$ the mean free path of the molecules decreases.

$(B)$ the mean collision time between the molecules decreases.

$(C)$ the mean free path remains unchanged.

$(D)$ the mean collision time remains unchanged.

  • A$(C)$ and $(D)$
  • B$(A)$ and $(B)$
  • C$(A)$ and $(D)$
  • D$(B)$ and $(C)$
JEE MAIN 2020, Medium
art

Download our app
and get started for free

Experience the future of education. Simply download our apps or reach out to us for more information. Let's shape the future of learning together!No signup needed.*

Similar Questions

  • 1
    A closed hollow insulated cylinder is filled with gas at ${0^o}C$ and also contains an insulated piston of negligible weight and negligible thickness at the middle point. The gas on one side of the piston is heated to ${100^o}C.$ If the piston moves $5\,cm,$ the length of the hollow cylinder is ..... $cm$
    View Solution
  • 2
    The ratio of mean kinetic energy of hydrogen and oxygen at a given temperature is
    View Solution
  • 3
    A gas has $n$ degrees of freedom. The ratio of specific heat of gas at constant volume to the specific heat of gas at constant pressure will be.
    View Solution
  • 4
    A vessel contains $1$ mole of ${O_2}$ gas (molar mass $32)$ at a temperature $T.$ The pressure of the gas is $P. $ An identical vessel containing one mole of $He$ gas (molar mass $4)$ at temperature $2T$ has a pressure of
    View Solution
  • 5
    A thermally insulated vessel contains an ideal gas of molecular mass $M$ and ratio of specific heats $\gamma$. It is moving with speed $v$ and it's suddenly brought to rest. Assuming no heat is lost to the surroundings, its temperature increases by
    View Solution
  • 6
    Number of molecules in a volume of $4\, cm ^{3}$ of a perfect monoatomic gas at some temperature $T$ and at a pressure of $2\, cm$ of mercury is close to $?$

    (Given, mean kinetic energy of a molecule (at $T$ ) is $4 \times 10^{-14}$ erg, $g=980\, cm / s ^{2}$, density of mercury $=13.6\, g / cm ^{3}$)

    View Solution
  • 7
    The energy (in $eV$) possessed by a neon atom at $27^{\circ} C$ is ..............
    View Solution
  • 8
    To double the volume of a given mass of an ideal gas at $27°C$ keeping the pressure constant, one must raise the temperature in degree centigrade to ....... $^o$
    View Solution
  • 9
    Kinetic theory of gases provide a base for
    View Solution
  • 10
    Let $\bar v,\;{v_{rms}}$ and ${v_p}$ respectively denote the mean speed, root mean square speed and most probable speed of the molecules in an ideal monoatomic gas at absolute temperature $T.$ The mass of a molecule is $m.$ Then
    View Solution