The molecules of a given mass of a gas have a $r.m.s.$ velocity of $200\, m/sec$ at $27°C$ and $1.0 \times {10^5}\,N/{m^2}$ pressure. When the temperature is $127°C$ and pressure is $0.5 \times {10^5}\,N/{m^2}$, the $r.m.s.$ velocity in $m/sec$ will be
  • A$\frac{{100\sqrt 2 }}{3}$
  • B$100\sqrt 2 $
  • C$\frac{{400}}{{\sqrt 3 }}$
  • D
    None of the above
AIIMS 1985, 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
    Variation of atmospheric pressure, with height from earth is ................
    View Solution
  • 2
    Five moles of helium are mixed with two moles of hydrogen to form a mixture. Take molar mass of helium $M_1=4\ g$ and that of hydrogen $M_2=2\ g$ The equivalent molar mass of the mixture is 
    View Solution
  • 3
    If mass of $He$ atom is $4$ times that of hydrogen atom then mean velocity of $He$ is
    View Solution
  • 4
    If the pressure in a closed vessel is reduced by drawing out some gas, the mean free path of the molecules
    View Solution
  • 5
    The ratio of total energy of all molecules of one mole $O_2$ to the total energy of all molecules of two moles of $He$ at the same temprature is
    View Solution
  • 6
    When heat $Q$ is supplied to a diatomic gas of rigid molecules at constant volume its temperature increases by $\Delta T.$ The heat required to produce the same change in temperature, at constant pressure is
    View Solution
  • 7
    A container is divided into two chambers by a partition. The volume of first chamber is $4.5$ litre and second chamber is $5.5$ litre. The first chamber contain $3.0$ moles of gas at pressure $2.0\, atm$ and second chamber contain $4.0$ moles of gas at pressure $3.0\, atm$ .After the partition is removed and the mixture attains equilibrium, then, the common equilibrium pressure existing in the mixture is $x \times 10^{-1} atm$. Value of $x$ is.........
    View Solution
  • 8
    A gas mixture consists of $3\,moles$ of oxygen and $5\,moles$ or argon at temperature $T.$ Considering only translational and rotational modes, the total internal  energy of the system is
    View Solution
  • 9
    There are two identical chambers, completely thermally insulated from surroundings. Both chambers have a partition wall dividing the chambers in two compartments. Compartment $1$ is filled with an ideal gas and Compartment $3$ is filled with a real gas. Compartments $2$ and $4$ are vacuum . A small hole (orifice) is made in the partition walls and the gases are allowed to expand in vacuum

    Statement $-1$ : No change in the temperature of the gas takes place when ideal gas expands in vacuum. However, the temperature of real gas goes down (cooling) when it expands in vacuum

    Statement $-2$ : The internal energy of an ideal gas is only kinetic. The internal energy of a real gas is kinetic as well as potential

    View Solution
  • 10
    The specific heat of $1$ mole of an ideal gas at constant pressure $({C_P})$ and at constant volume $({C_V})$ which is correct
    View Solution