The temperature of a gas having $2.0 \times 10^{25}$ molecules per cubic meter at $1.38 \mathrm{~atm}$ (Given, $\mathrm{k}=$ $\left.1.38 \times 10^{-23} \mathrm{JK}^{-1}\right)$ is :
  • A$500 \mathrm{~K}$
  • B $200 \mathrm{~K}$
  • C $100 \mathrm{~K}$
  • D $300 \mathrm{~K}$
JEE MAIN 2024, Diffcult
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
    For an ideal gas the instantaneous change in pressure $'{p} '$ with volume $'v'$ is given by the equation $\frac{{dp}}{{dv}}=-{ap} .$ If ${p}={p}_{0}$ at ${v}=0$ is the given boundary condition, then the maximum temperature one mole of gas can attain is :

    (Here ${R}$ is the gas constant)

    View Solution
  • 2
    At $NTP$ the mass of one litre of air is $1.293\, gm.$ The value of specific gas constant will be ...... $J/K-gm$
    View Solution
  • 3
    At a given temperature, the pressure of an ideal gas of density $\rho $ is proportional to
    View Solution
  • 4
    The average kinetic energy of hydrogen molecules at $300 K$ is $E.$ At the same temperature, the average kinetic energy of oxygen molecules will be
    View Solution
  • 5
    A cylindrical container of volume $4.0 \times 10^{-3} \,{m}^{3}$ contains one mole of hydrogen and two moles of carbon dioxide. Assume the temperature of the mixture is $400 \,{K}$ The pressure of the mixture of gases is:

    [Take gas constant as $8.3\, {J} {mol}^{-1} {K}^{-1}$]

    View Solution
  • 6
    A flask is filled with $13\, gm$ of an ideal gas at ${27}^o C$ and its temperature is raised to ${52}^o C$. The mass of the gas that has to be released to maintain the temperature of the gas in the flask at ${52}^o C$ and the pressure remaining the same is ..... $g$
    View Solution
  • 7
    $Assertion :$ One mole of any substance at any temperature or volume always contains $6.02\times10^{23}$ molecules.
    $Reason :$ One mole of a substance always refers to $S.T.P.$ conditions.
    View Solution
  • 8
    A gas at the temperature $250\, K$ is contained in a closed vessel. If the gas is heated through $1\,K,$ then the percentage increase in its pressure will be .... $\%$
    View Solution
  • 9
    The $r.m.s.$ velocity will be greater for
    View Solution
  • 10
    The expansion of unit mass of a perfect gas at constant pressure is shown in the diagram. Here
    View Solution