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Three vessels of equal capacity have gases at the same temperature and pressure. The first vessel contains neon (monatomic) the second contains chlorine (diatomic) and the third contains uranium hexafluoride(polyatomic). Do the vessels contain equal number of respective molecules? Is the root mean square speed of molecules are same in the three cases in `v_(rms)` the largest?

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The correct Answer is:
Yes
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Three vessels of equal capacity have gases at the same temperature and pressure. The first vessel contains neon (monatomic), the second contains chlorine (diatomic). and the third contains uranium hexafluoride (polyatomic). Do the vessels contain equal number of respective molecules ? Is the root mean square speed of molecules the same in the three cases? If not, in which case is v_("rms") the largest ?

Hydrogen and oxygen gases are kept in two vessels at the same temperature and pressure. What is the ratio of the rms speed of their molecules?

Knowledge Check

  • Two vessels separately contain two ideal gases A and B at the same temperature the pressure of A being twice that of B. Under such conditions,the density of A is found to be 1.5 times the density of B. The ratio of molecular weight of A and B is :

    A
    `3/4`
    B
    `2`
    C
    `1/2`
    D
    `2/3`

  • This question has Statement I and Statement II. Of the four choices given after the Statements, choose the one that best describes the two Statements. Statement -I: Two different ideal gases have equal root mean square speed at the same temperature. Statement - II: Root mean square speed of a gas molecules increases with increase in temperature.

    A
    Statement - I is true, Statement - II is true, Statement - II is a correct explanation of Statement - I
    B
    Statement - I is true, Statement - II is true, Statement - II is not a correct explanation of Statement -I.
    C
    Statement -I is true, Statement - II is false.
    D
    Statement -I is false, Statement - II is true.

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    In two identical gas containers, equal numbers of hydrogen and helium molecules are kept at the same temperature . What will be the ratio of their pressure?

    According to Avogadro's hypothesis, at the same temperature and presure equal volume of all gases contain equal number off molecules. Can it be concluded from the given statement that "all molecules have equal volume" ?

    A container having volume 1L contains 10^25 number of oxygen molecules If the mass and the rms speed of oxygen molecules are 2.7 times 10^-25g and 4 times 10^4 cm.s^-1 , respectively what will be the pressure of that gas?

    A vessel contains two non reactive gases : neon (monatomic) and oxygen (diatomic). The ratio of their partial pressures is 3:2. Estimate the ratio of (i) number of molecules and (ii) mass density of neon and oxygen in the vessel. Atomic mass of Ne= 20.2 u, molecular mass of O_(2) = 32.0 u .

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