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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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