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question_answer1)
The volume of a gas at \[20{}^\circ C\] is \[200ml.\] If the temperature is reduced to \[20{}^\circ C\]at constant pressure, its volume will be
A)
\[172.6ml\] done
clear
B)
\[17.26ml\] done
clear
C)
\[192.7ml\] done
clear
D)
\[19.27ml\] done
clear
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question_answer2)
Volume of gas become four times if
A)
Temperature become four times at constant pressure done
clear
B)
Temperature become one fourth at constant pressure done
clear
C)
Temperature becomes two times at constant pressure done
clear
D)
Temperature becomes half at constant pressure done
clear
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question_answer3)
For ideal gas, which statement is not true
A)
It obeys Boyle's law done
clear
B)
It follows \[PV=RT\] done
clear
C)
Internal energy depends on temperature only done
clear
D)
It follows Vander-Waal's equation done
clear
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question_answer4)
Two thermally insulated vessels 1 and 2 are filled with air at temperatures \[({{T}_{1}},\,\,{{T}_{2}}),\] volume \[({{V}_{1}},\,\,{{V}_{2}})\] and pressure \[({{P}_{1}},\,\,{{P}_{2}})\] respectively. If the valve joining the two vessels is opened, the temperature inside the vessel at equilibrium will be
A)
\[{{T}_{1}}+{{T}_{2}}\] done
clear
B)
\[({{T}_{1}}+{{T}_{2}})/2\] done
clear
C)
\[\frac{{{T}_{1}}{{T}_{2}}({{P}_{1}}{{V}_{1}}+{{P}_{2}}{{V}_{2}})}{{{P}_{1}}{{V}_{1}}{{T}_{2}}+{{P}_{2}}{{V}_{2}}{{T}_{1}}}\] done
clear
D)
\[\frac{{{T}_{1}}{{T}_{2}}({{P}_{1}}{{V}_{1}}+{{P}_{2}}{{V}_{2}})}{{{P}_{1}}{{V}_{1}}{{T}_{1}}+{{P}_{2}}{{V}_{2}}{{T}_{2}}}\] done
clear
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question_answer5)
Equation of gas in terms of pressure (P), absolute temperature (T) and density is
A)
\[\frac{{{P}_{1}}}{{{T}_{1}}{{d}_{1}}}=\frac{{{P}_{2}}}{{{T}_{2}}{{d}_{2}}}\] done
clear
B)
\[\frac{{{P}_{1}}{{T}_{1}}}{{{d}_{1}}}=\frac{{{P}_{2}}{{T}_{2}}}{{{d}_{2}}}\] done
clear
C)
\[\frac{{{P}_{1}}{{d}_{2}}}{{{T}_{1}}}=\frac{{{P}_{2}}{{d}_{1}}}{{{T}_{1}}}\] done
clear
D)
\[\frac{{{P}_{1}}{{d}_{1}}}{{{T}_{1}}}=\frac{{{P}_{2}}{{d}_{2}}}{{{T}_{2}}}\] done
clear
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question_answer6)
In thermal equilibrium, the average velocity of gas molecules is
A)
Proportional to \[\sqrt{T}\] done
clear
B)
Proportional to \[{{T}^{2}}\] done
clear
C)
Proportional to \[{{T}^{3}}\] done
clear
D)
Zero done
clear
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question_answer7)
The molecules of a given mass of a gas have a r.m.s. velocity of 200 m/sec at \[27{}^\circ C\] and \[1.0\times {{10}^{5}}\,N/{{m}^{2}}\] pressure. When the temperature is \[127{}^\circ C\]and pressure is \[0.5\times {{10}^{5}}\,N/{{m}^{2}}\], the r.m.s. velocity in m/sec will be
A)
\[\frac{100\sqrt{2}}{3}\] done
clear
B)
\[100\sqrt{2}\] done
clear
C)
\[\frac{400}{\sqrt{3}}\] done
clear
D)
None of the above done
clear
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question_answer8)
On any planet, the presence of atmosphere implies (\[{{C}_{rms}}\]= root mean square velocity of molecules and \[{{V}_{e}}\]= escape velocity)
A)
\[{{C}_{rms}}<<{{V}_{e}}\] done
clear
B)
\[{{C}_{rms}}>{{V}_{e}}\] done
clear
C)
\[{{C}_{rms}}={{V}_{e}}\] done
clear
D)
\[{{C}_{rms}}=0\] done
clear
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question_answer9)
If \[{{V}_{H}},\,\,{{V}_{N}}\] and \[{{V}_{O}}\] denote the root-mean square velocities of molecules of hydrogen, nitrogen and oxygen respectively at a given temperature, then
A)
\[{{V}_{N}}>{{V}_{O}}>{{V}_{H}}\] done
clear
B)
\[{{V}_{H}}>{{V}_{N}}>{{V}_{O}}\] done
clear
C)
\[{{V}_{O}}={{V}_{N}}={{V}_{H}}\] done
clear
D)
\[{{V}_{O}}>{{V}_{H}}>{{V}_{N}}\] done
clear
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question_answer10)
A cubical box with porous walls containing an equal number of \[{{O}_{2}}\] and \[{{H}_{2}}\] molecules is placed in a large evacuated chamber. The entire system is maintained at constant temperature T. The ratio of \[{{v}_{rms}}\]of \[{{O}_{2}}\]molecules to that of the \[{{v}_{rms}}\]of \[{{H}_{2}}\]molecules, found in the chamber outside the box after a short interval is
A)
\[\frac{1}{2\sqrt{2}}\] done
clear
B)
\[\frac{1}{4}\] done
clear
C)
\[\frac{1}{\sqrt{2}}\] done
clear
D)
\[\sqrt{2}\] done
clear
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question_answer11)
For a gas \[\frac{R}{{{C}_{V}}}=0.67\]. This gas is made up of molecules which are
A)
Diatomic done
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B)
Mixture of diatomic and polyatomic molecules done
clear
C)
Monoatomic done
clear
D)
Polyatomic done
clear
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question_answer12)
The specific heat of a gas
A)
Has only two values \[{{C}_{p}}\] and \[{{C}_{v}}\] done
clear
B)
Has a unique value at a given temperature done
clear
C)
Can have any value between 0 and \[\infty \] done
clear
D)
Depends upon the mass of the gas done
clear
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question_answer13)
A gaseous mixture contains equal number of hydrogen and nitrogen molecules. Specific heat measurements on this mixture at temperatures below 100 K would indicate that the value of \[\gamma \] (ratio of specific heats) for this mixture is
A)
3/2 done
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B)
4/3 done
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C)
5/3 done
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D)
7/5 done
clear
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question_answer14)
The degrees of freedom of a stationary rigid body about its axis will be
A)
One done
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B)
Two done
clear
C)
Three done
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D)
Four done
clear
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question_answer15)
The relation between the gas pressure P and average kinetic energy per unit volume E is
A)
\[P=\frac{1}{2}E\] done
clear
B)
P = E done
clear
C)
\[P=\frac{3}{2}E\] done
clear
D)
\[P=\frac{2}{3}E\] done
clear
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question_answer16)
The average kinetic energy of a gas at \[23{}^\circ C\] and 75 cm pressure is \[5\times {{10}^{-14}}\,erg\] for \[{{H}_{2}}\]. The mean kinetic energy of the \[{{O}_{2}}\] at \[227{}^\circ C\] and 150 cm pressure will be
A)
\[80\times {{10}^{-14}}\,erg\] done
clear
B)
\[20\times {{10}^{-14}}\,erg\] done
clear
C)
\[40\times {{10}^{-14}}\,erg\] done
clear
D)
\[10\times {{10}^{-14}}\,erg\] done
clear
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question_answer17)
Read the given statements and decide which is/are correct on the basis of kinetic theory of gases |
(I) Energy of one molecule at absolute temperature is zero |
(II) r.m.s. speeds of different gases are same at same temperature |
(III) For one gram of all ideal gas kinetic energy is same at same temperature |
(IV) For one mole of all ideal gases mean kinetic energy is same at same temperature |
A)
All are correct done
clear
B)
I and IV are correct done
clear
C)
IV is correct done
clear
D)
None of these done
clear
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question_answer18)
At the same temperature and pressure and volume of two gases, which of the following quantities is constant
A)
Total number of molecules done
clear
B)
Average kinetic energy done
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C)
Root mean square velocity done
clear
D)
Mean free path done
clear
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question_answer19)
Vapour is injected at a uniform rate in a closed vessel which was initially evacuated. The pressure in the vessel
A)
Increase continuously done
clear
B)
Decreases continuously done
clear
C)
First increases and then decreases done
clear
D)
First increase and then becomes constant done
clear
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question_answer20)
The kinetic energy of one mole gas at 300K temperature, is E. At 400K temperature kinetic energy is \[{E}'.\] The value of \[{E}'/E\] is
A)
1.33 done
clear
B)
\[\sqrt{\left( \frac{4}{3} \right)}\] done
clear
C)
\[\frac{16}{9}\] done
clear
D)
2 done
clear
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question_answer21)
When air is filled in the balloon, the pressure and volume both increases while temperature does not change. Here Boyle's law is not obeyed because
A)
Mass of air is negligible done
clear
B)
Mass of air does not remain constant done
clear
C)
Air is not perfect gas done
clear
D)
Pressure inside the balloon is less than that of the atmospheric pressure done
clear
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question_answer22)
At NTP, sample of equal volume of chlorine and oxygen is taken. Now ratio of No. of molecules
A)
1 : 1 done
clear
B)
32 : 27 done
clear
C)
2 : 1 done
clear
D)
16 : 14 done
clear
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question_answer23)
That gas cannot be liquified
A)
Which obeys Vander Waal's equation done
clear
B)
Which obeys gas equation at every temperature and pressure done
clear
C)
The molecules of which are having potential energy done
clear
D)
Which is a inert gas done
clear
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question_answer24)
A flask is filled with 13 gm of an ideal gas at \[27{}^\circ C\]and its temperature is raised to\[52{}^\circ C\]. The mass of the gas that has to be released to maintain the temperature of the gas in the flask at \[52{}^\circ C\]and the pressure remaining the same is
A)
2.5 g done
clear
B)
2.0 g done
clear
C)
1.5 g done
clear
D)
1.0 g done
clear
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question_answer25)
The value of critical temperature in terms of Vander Waals constant a and b is
A)
\[{{T}_{c}}=\frac{8a}{27Rb}\] done
clear
B)
\[{{T}_{c}}=\frac{a}{2Rb}\] done
clear
C)
\[{{T}_{c}}=\frac{8}{27Rb}\] done
clear
D)
\[{{T}_{c}}=\frac{27a}{8Rb}\] done
clear
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question_answer26)
The value of PV/T for one mole of an ideal gas is nearly equal to
A)
\[2J\text{ }mo{{l}^{1}}{{K}^{1}}\] done
clear
B)
\[8.3cal\text{ }mo{{l}^{1}}{{K}^{1}}\] done
clear
C)
\[4.2J\text{ }mo{{l}^{1}}{{K}^{1}}\] done
clear
D)
\[2cal\text{ }mo{{l}^{1}}{{K}^{1}}\] done
clear
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question_answer27)
The root mean square velocity of a gas molecule of mass m at a given temperature is proportional to
A)
\[{{m}^{0}}\] done
clear
B)
m done
clear
C)
\[\sqrt{m}\] done
clear
D)
\[\frac{1}{\sqrt{m}}\] done
clear
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question_answer28)
According to the kinetic theory of gases the r.m.s. velocity of gas molecules is directly proportional to
A)
T done
clear
B)
\[\sqrt{T}\] done
clear
C)
\[{{T}^{2}}\] done
clear
D)
\[1/\sqrt{T}\] done
clear
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question_answer29)
By what factor the r.m.s. velocity will change, if the temperature is raised from \[27{}^\circ C\] to \[327{}^\circ C\]
A)
\[\sqrt{2}\] done
clear
B)
2 done
clear
C)
\[2\sqrt{2}\] done
clear
D)
1 done
clear
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question_answer30)
If the ratio of vapour density for hydrogen and oxygen is \[\frac{1}{16}\], then under constant pressure the ratio of their rms velocities will be
A)
\[\frac{4}{1}\] done
clear
B)
\[\frac{1}{4}\] done
clear
C)
\[\frac{1}{16}\] done
clear
D)
\[\frac{16}{1}\] done
clear
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question_answer31)
A monoatomic gas molecule has
A)
Three degrees of freedom done
clear
B)
Four degrees of freedom done
clear
C)
Five degrees of freedom done
clear
D)
Six degrees of freedom done
clear
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question_answer32)
The following sets of values for \[{{C}_{V}}\] and \[{{C}_{P}}\] of a gas has been reported by different students. The units are cal/gm-mole-K. Which of these sets is most reliable
A)
\[{{C}_{v}}=3,\,{{C}_{p}}=5\] done
clear
B)
\[{{C}_{V}}=4,\,{{C}_{P}}=6\] done
clear
C)
\[{{C}_{v}}=3,\,{{C}_{p}}=2\] done
clear
D)
\[{{C}_{V}}=3,\,{{C}_{P}}=4.2\] done
clear
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question_answer33)
The specific heat of 1 mole of an ideal gas at constant pressure \[({{C}_{P}})\] and at constant volume \[({{C}_{V}})\] which is correct
A)
\[{{C}_{P}}\] of hydrogen gas is \[\frac{5}{2}R\] done
clear
B)
\[{{C}_{V}}\] of hydrogen gas is \[\frac{7}{2}R\] done
clear
C)
\[{{H}_{2}}\] has very small values of \[{{C}_{p}}\] and \[{{C}_{V}}\] done
clear
D)
\[{{C}_{p}}-{{C}_{V}}~=1.99cal/mole-K\] for \[{{H}_{2}}\] done
clear
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question_answer34)
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
A)
\[4.16\ J/cal\] done
clear
B)
\[4.18\ J/cal\] done
clear
C)
\[4.20\ J/cal\] done
clear
D)
\[4.22\ J/cal\] done
clear
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question_answer35)
The pressure exerted by the gas on the walls of the container because
A)
It loses kinetic energy done
clear
B)
It sticks with the walls done
clear
C)
On collision with the walls there is a change in momentum done
clear
D)
It is accelerated towards the walls done
clear
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question_answer36)
Consider a gas with density \[\rho \] and \[\bar{c}\] as the root mean square velocity of its molecules contained in a volume. If the system moves as whole with velocity v, then the pressure exerted by the gas is
A)
\[\frac{1}{3}\rho \,{{\bar{c}}^{2}}\] done
clear
B)
\[\frac{1}{3}\rho {{(c+v)}^{2}}\] done
clear
C)
\[\frac{1}{3}\rho {{(\bar{c}-v)}^{2}}\] done
clear
D)
\[\frac{1}{3}\rho {{({{c}^{-2}}-v)}^{2}}\] done
clear
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question_answer37)
The time average of the kinetic energy of one molecule of a gas taken over a long period of time
A)
Is proportional to the square root of the absolute temperature of the gas done
clear
B)
Is proportional to the absolute temperature of the gas done
clear
C)
Is proportional to the square of the absolute temperature of the gas done
clear
D)
Does not depend upon the absolute temperature of the gas done
clear
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question_answer38)
The average translational energy and the r.m.s. speed of molecules in a sample of oxygen gas at 300 K are \[6.21\times {{10}^{-21}}\,J\] and 484 m/s respectively. The corresponding values at 600 K are nearly (assuming ideal gas behaviour)
A)
\[12.42\times {{10}^{21}}\,J,\ 968\,m/s\] done
clear
B)
\[8.78\times {{10}^{21}}J,\ 684\,m/s\] done
clear
C)
\[6.21\times {{10}^{21}}\,J,\,968\,m/s\] done
clear
D)
\[12.42\times {{10}^{21}}\,J,\ 684\,m/s\] done
clear
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question_answer39)
A gas mixture consists of molecules of type 1, 2 and 3, with molar masses \[{{m}_{1}}>{{m}_{2}}>{{m}_{3}}.\] \[{{V}_{rms}}\] and \[\overline{K}\] are the r.m.s. speed and average kinetic energy of the gases. Which of the following is true
A)
\[{{\left( {{V}_{rms}} \right)}_{1}}<\text{ }{{\left( {{V}_{rms}} \right)}_{2}}<\text{ }{{\left( {{V}_{rms}} \right)}_{3}}\] and \[{{(\overline{K})}_{1}}={{(\overline{K})}_{2}}=({{\overline{K}}_{3}})\] done
clear
B)
\[{{\left( {{V}_{rms}} \right)}_{1}}=\text{ }{{\left( {{V}_{rms}} \right)}_{2}}=\text{ }{{\left( {{V}_{rms}} \right)}_{3}}\] and \[{{(\overline{K})}_{1}}={{(\overline{K})}_{2}}>{{(\overline{K})}_{3}}\] done
clear
C)
\[{{\left( {{V}_{rms}} \right)}_{1}}>{{\left( {{V}_{rms}} \right)}_{2}}>{{\left( {{V}_{rms}} \right)}_{3}}\] and \[{{(\overline{K})}_{1}}<{{(\overline{K})}_{2}}>({{\overline{K}}_{3}})\] done
clear
D)
\[{{\left( {{V}_{rms}} \right)}_{1}}>{{\left( {{V}_{rms}} \right)}_{2}}>{{\left( {{V}_{rms}} \right)}_{3}}\] and \[{{(\overline{K})}_{1}}<{{(\overline{K})}_{2}}<{{(\overline{K})}_{3}}\] done
clear
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question_answer40)
The average translational kinetic energy of a hydrogen gas molecules at NTP will be [Boltzmanns constant \[{{k}_{B}}=1.38\times {{10}^{-23}}J/K]\]
A)
\[0.186\times {{10}^{-20}}\]Joule done
clear
B)
\[0.372\times {{10}^{-20}}\]Joule done
clear
C)
\[0.56\times {{10}^{-20}}\] Joule done
clear
D)
\[5.6\times {{10}^{-20}}\]Joule done
clear
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