Download App
A container holds $10^{26} molecules/m^3$ each of mass $3 \times 10^{-27}\,\,kg$. Assume that $1/6$ of the molecules move with velocity $2000 \,\,m/s$ directly towards one wall of the container while the remaining $5/6$ of the molecules move either away from the wall or in perpendicular direction, and all collisions of the molecules with the wall are elastic
  • Anumber of molecules hitting $1 m^2$ of the wall every second is $3.33 \times 10^{28}$.
  • Bpressure exerted on the wall by molecules is $4 \times 10^5\,\,Pa$.
  • Cpressure exerted on the wall by molecules is $24 \times 10^5\,\,Pa$.
  • DBoth $(A)$ and $(B)$
Advanced
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.*
Download App

Similar Questions

  • 1
    Let $\gamma_1$ be the ratio of molar specific heat at constant pressure and molar specific heat at constant volume of a monoatomic gas and $\gamma_2$ be the similar ratio of diatomic gas. Considering the diatomic gas molecule as a rigid rotator, the ratio, $\frac{\gamma_1}{\gamma_2}$ is
    View Solution
  • 2
    The specific heat of isothermal process is
    View Solution
  • 3
    If hydrogen gas is heated to a very high temperature, then the fraction of energy possessed by gas molecules correspond to rotational motion ...........
    View Solution
  • 4
    A monoatomic gas performs a work of $\frac{Q}{4}$ where $Q$ is the heat supplied to it. The molar heat capaticy of the gas will be $R$ during this transformation. Where $R$ is the gas constant.
    View Solution
  • 5
    When an air bubble of radius $‘r’$ rises from the bottom to the surface of a lake, its radius becomes $5r/4$ (the pressure of the atmosphere is equal to the $10 \,m$ height of water column). If the temperature is constant and the surface tension is neglected, the depth of the lake is .... $m$
    View Solution
  • 6
    The air density at Mount Everest is less than that at the sea level. It is found by mountaineers that for one trip lasting a few hours, the extra oxygen needed by them corresponds to $30,000\, cc$ at sea level (pressure $1$ atmosphere, temperature $27°C$). Assuming that the temperature around Mount Everest is $-73°C$ and that the oxygen cylinder has capacity of $5.2 \,litre,$ the pressure at which ${O_2}$ be filled (at site) in cylinder is  .... $atm$
    View Solution
  • 7
    The relation $C_p-C_V=R\left(C_p\right.$ and $C_V$ are the molar specific heats at constant pressure and volume) is exactly true for
    View Solution
  • 8
    The value of the gas constant $(R)$ calculated from the perfect gas equation is $8.32\, joules/gm \,mole\, K,$ whereas its value calculated from the knowledge of ${C_P}$ and ${C_V}$ of the gas is $1.98\, cal/gm\, mole\, K.$ From this data, the value of $J$ is  ......... $J/cal$
    View Solution
  • 9
    A real gas behaves like an ideal gas if its
    View Solution
  • 10
    A gas mixture consists of $2$ moles of $O_2$ and $4$ moles of $Ar$ at temperature $T$. Neglecting all vibrational modes, the total internal energy of the system is
    View Solution