JEE Main & Advanced Chemistry States of Matter / पदार्थ की अवस्थाएँ - गैस एवं द्रव Question Bank

done Molecular speeds Total Questions - 27

• question_answer1)
  The ratio of root mean square velocity to average velocity of gas molecules at a particular temperature is [IIT 1981]
  A)
                  1.086 : 1                done clear
  B)
                  1 : 1.086 done clear
  C)
                  2 : 1.086                done clear
  D)
                  1.086 : 2 done clear
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• question_answer2)
  Which is not true in case of an ideal gas [CBSE PMT 1991]
  A)
                  It cannot be converted into a liquid done clear
  B)
                  There is no interaction between the molecules done clear
  C)
                  All molecules of the gas move with same speed done clear
  D)
                  At a given temperature, PV is proportional to the amount of the gas done clear
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• question_answer3)
  The ratio among most probable velocity, mean velocity and root mean square velocity is given by [CBSE PMT 1993]
  A)
                  1 : 2 : 3  done clear
  B)
                  \[1:\sqrt{2}:\sqrt{3}\] done clear
  C)
                  \[\sqrt{2}:\sqrt{3}:\sqrt{8/\pi }\]              done clear
  D)
                  \[\sqrt{2}:\sqrt{8/\pi }:\sqrt{3}\] done clear
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• question_answer4)
  Which of the following has maximum root mean square velocity at the same temperature           [Manipal PMT 2002]
  A)
                  \[S{{O}_{2}}\]    done clear
  B)
                  \[C{{O}_{2}}\] done clear
  C)
                  \[{{O}_{2}}\]      done clear
  D)
                  \[{{H}_{2}}\] done clear
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• question_answer5)
  The temperature at which RMS velocity of \[S{{O}_{2}}\] molecules is half that of He molecules at 300 K is            [NTSE 1991]
  A)
                  150 K     done clear
  B)
                  600 K done clear
  C)
                  900 K     done clear
  D)
                  1200 K done clear
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• question_answer6)
  At \[{{27}^{o}}C\], the ratio of rms velocities of ozone to oxygen is                 [EAMCET 1992]
  A)
                  \[\sqrt{3/5}\]     done clear
  B)
                  \[\sqrt{4/3}\] done clear
  C)
                  \[\sqrt{2/3}\]     done clear
  D)
                  0.25 done clear
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• question_answer7)
  The average kinetic energy of an ideal gas per molecule in SI units at \[{{25}^{o}}C\] will be          [CBSE PMT 1996]
  A)
                  \[6.17\times {{10}^{-21}}\,kJ\]   done clear
  B)
                  \[6.17\times {{10}^{-21}}\,J\] done clear
  C)
                  \[6.17\times {{10}^{-20}}\,J\]     done clear
  D)
                  \[6.17\times {{10}^{-20}}\,J\] done clear
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• question_answer8)
  At what temperature the RMS velocity of \[S{{O}_{2}}\] be same as that of \[{{O}_{2}}\] at 303 K              [KCET 2001]
  A)
                  273 K     done clear
  B)
                  606 K done clear
  C)
                  303 K     done clear
  D)
                  403 K done clear
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• question_answer9)
  Among the following gases which one has the lowest root mean square velocity at \[{{25}^{o}}C\]           [EAMCET 1983]
  A)
                  \[S{{O}_{2}}\]    done clear
  B)
                  \[{{N}_{2}}\] done clear
  C)
                  \[{{O}_{2}}\]      done clear
  D)
                  \[C{{l}_{2}}\] done clear
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• question_answer10)
  The root mean square velocity of an ideal gas in a closed container of fixed volume is increased from \[5\times {{10}^{4}}\,cm\,{{s}^{-1}}\] to \[10\times {{10}^{4}}\,cm\,{{s}^{-1}}\]. Which of the following statement correctly explains how the change is accomplished [Pb. CET 1986]
  A)
                  By heating the gas, the temperature is doubled done clear
  B)
                  By heating the gas, the pressure is quadrupled (i.e. made four times) done clear
  C)
                  By heating the gas, the temperature is quadrupled done clear
  D)
                  By heating the gas, the pressure is doubled done clear
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• question_answer11)
  The rms velocity at NTP of the species can be calculated from the expression     [EAMCET 1990]
  A)
                  \[\sqrt{\frac{3P}{d}}\]   done clear
  B)
                  \[\sqrt{\frac{3\,PV}{M}}\] done clear
  C)
                  \[\sqrt{\frac{3\,RT}{M}}\]            done clear
  D)
                  All the above done clear
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• question_answer12)
  Root mean square velocity of a gas molecule is proportional to  [CBSE PMT 1990]
  A)
                  \[{{m}^{1/2}}\] done clear
  B)
                  \[{{m}^{0}}\] done clear
  C)
                  \[{{m}^{-1/2}}\]                done clear
  D)
                  m done clear
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• question_answer13)
  At constant volume, for a fixed number of moles of a gas, the pressure of the gas increases with increase in temperature due to   [IIT 1992]
  A)
                  Increase in the average molecular speed done clear
  B)
                  Increased rate of collision amongst molecules done clear
  C)
                  Increase in molecular attraction done clear
  D)
                  Decrease in mean free path done clear
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• question_answer14)
  Molecular velocities of the two gases at the same temperature are \[{{u}_{1}}\] and \[{{u}_{2}}\]. Their masses are \[{{m}_{1}}\] and \[{{m}_{2}}\] respectively. Which of the following expressions is correct [BHU 1994]
  A)
                  \[\frac{{{m}_{1}}}{u_{1}^{2}}=\frac{{{m}_{2}}}{u_{2}^{2}}\]         done clear
  B)
                  \[{{m}_{1}}{{u}_{1}}={{m}_{2}}{{u}_{2}}\] done clear
  C)
                  \[\frac{{{m}_{1}}}{{{u}_{1}}}=\frac{{{m}_{2}}}{{{u}_{2}}}\]            done clear
  D)
                  \[{{m}_{1}}u_{1}^{2}={{m}_{2}}u_{2}^{2}\] done clear
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• question_answer15)
  The temperature of the gas is raised from \[{{27}^{o}}C\] to \[{{927}^{o}}C\], the root mean square velocity is   [CBSE PMT 1994]
  A)
                  \[\sqrt{927/27}\]times the earlier value done clear
  B)
                  Same as before done clear
  C)
                  Halved done clear
  D)
                  Doubled done clear
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• question_answer16)
  The ratio between the root mean square velocity of H2 at 50 K and that of \[{{O}_{2}}\] at 800 K is            [IIT 1996]
  A)
                  4              done clear
  B)
                  2 done clear
  C)
                  1              done clear
  D)
                  ¼ done clear
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• question_answer17)
  The root mean square velocity of an ideal gas at constant pressure varies density  as       [IIT 2000]
  A)
                  \[{{d}^{2}}\]       done clear
  B)
                  d done clear
  C)
                  \[\sqrt{d}\]         done clear
  D)
                  \[1/\sqrt{d}\] done clear
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• question_answer18)
  Consider a mixture of \[S{{O}_{2}}\] and \[{{O}_{2}}\] kept at room temperature. Compared to the oxygen molecule, the \[S{{O}_{2}}\] molecule will hit the wall with
  A)
                  Smaller average speed  done clear
  B)
                  Greater average speed done clear
  C)
                  Greater kinetic energy  done clear
  D)
                  Greater mass done clear
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• question_answer19)
  The rms speed of \[{{N}_{2}}\] molecules in a gas is u. If the temperature is doubled and the nitrogen molecules dissociate into nitrogen atoms, the rms speed becomes
  A)
                  \[u/2\]  done clear
  B)
                  2u done clear
  C)
                  4u           done clear
  D)
                  14u done clear
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• question_answer20)
  Choose the correct arrangement, where the symbols have their usual meanings
  A)
                  \[\bar{u}>{{u}_{p}}>{{u}_{rms}}\]            done clear
  B)
                  \[{{u}_{rms}}>\bar{u}>{{u}_{p}}\] done clear
  C)
                  \[{{u}_{p}}>\bar{u}>{{u}_{rms}}\]            done clear
  D)
                  \[{{u}_{p}}>{{u}_{rms}}>\bar{u}\] done clear
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• question_answer21)
  The ratio of most probable velocity to that of average velocity is               [JEE Orissa 2004]
  A)
                  \[\pi /2\]              done clear
  B)
                  \[2/\pi \] done clear
  C)
                  \[\sqrt{\pi }/2\]                done clear
  D)
                  \[2/\sqrt{\pi }\] done clear
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• question_answer22)
  The r.m.s. velocity of a certain gas is \[v\] at \[300K\]. The temperature, at which the r.m.s. velocity becomes double [Pb. CET 2002]
  A)
                  \[1200K\]             done clear
  B)
                  \[900\,K\] done clear
  C)
                  \[600K\]               done clear
  D)
                  \[150K\] done clear
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• question_answer23)
  The r.m.s. velocity of a gas depends upon            [DCE 2002]
  A)
                  Temperature only done clear
  B)
                  Molecular mass only done clear
  C)
                  Temperature and molecular mass of gas done clear
  D)
                  None of these done clear
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• question_answer24)
  What is the pressure of 2 mole of \[N{{H}_{3}}\] at \[{{27}^{o}}C\] when its volume is 5 litre in vander Waal?s equation (a = 4.17, b = 0.03711)             [JEE Orissa 2004]
  A)
                  10.33 atm            done clear
  B)
                  9.33 atm done clear
  C)
                  9.74 atm               done clear
  D)
                  9.2 atm done clear
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• question_answer25)
  The root mean square velocity of one mole of a monoatomic having molar mass M is \[{{U}_{rms}}\]. The relation between the average kinetic energy  of the \[{{U}_{rms}}\] is [IIT-JEE Screening 2004]
  A)
                  \[{{U}_{rms}}=\sqrt{\frac{3E}{2M}}\]     done clear
  B)
                  \[{{U}_{rms}}=\sqrt{\frac{2E}{3M}}\] done clear
  C)
                  \[{{U}_{rms}}=\sqrt{\frac{2E}{M}}\]        done clear
  D)
                  \[{{U}_{rms}}=\sqrt{\frac{E}{3M}}\] done clear
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• question_answer26)
  Ratio of average to most probable velocity is  [Orissa JEE  2005]
  A)
                  1.128     done clear
  B)
                  1.224 done clear
  C)
                  1.0          done clear
  D)
                  1.112 done clear
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• question_answer27)
  If the \[{{v}_{rms}}\] is \[30{{R}^{1/2}}\] at \[{{27}^{o}}C\] then calculate the molar mass of gas in kilogram.        [DPMT 2005]
  A)
                  1              done clear
  B)
                  2 done clear
  C)
                  4              done clear
  D)
                  0.001 done clear
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