The average velocity of an ideal gas molecule is:                                                                                                                   [OJEE 2010]

(1) proportional to $\sqrt{T}$

(2) proportional to ${T}^{2}$

(3) proportional to ${T}^{3}$

(4) zero

Concept Questions :-

Types of velocity
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For a gas, $\frac{R}{{C}_{V}}=0.67$.  This gas is made up of molecules which are:                                                                   [JIPMER 2001, 02]

(1) Diatomic           (2) Mixture of diatomic and polyatomic molecules

(3) Monoatomic      (4) Polyatomic

Concept Questions :-

Specific heat
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At constant temperature, on increasing the pressure of a gas by 5% its volume will decrease by:          [MP PET 2002; Kerala 2006]

(1) 5%       (2) 5.26 %         (3) 4.26 %         (4) 4.76 %

Concept Questions :-

Ideal gas
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Concept Questions :-

Types of velocity
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At what temperature, is the root mean square velocity of gaseous hydrogen molecules equal to that of oxygen molecules at 47$°$C:[MP PET 1997, 2000; RPET 1999; AIEEE 2002; J & K CET 2004; Kerala PET 2010]

(1) 20 K           (2) 80 K           (3) - 73 K              (4) 3 K

Concept Questions :-

Types of velocity
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The average kinetic energy of a gas molecule can be determined by knowing:                                        [RPET 2000, MP PET 2010]

(1) The number of molecules in the gas

(2) The pressure of the gas only

(3) The temperature of the gas only

(4) None  of the above is enough by itself

Concept Questions :-

Kinetic energy of gas
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Volume, pressure, and temperature of an ideal gas are V, P, and T respectively. If the mass of its molecule is m, then its density is [k=boltzmann's constant]

(a) mkT                              (b) $\frac{P}{kT}$

(d)$\frac{P}{kTV}$                             (d) $\frac{Pm}{kT}$

Concept Questions :-

Ideal gas
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One litre of gas A and two litres of gas B, both having the same temperature 100$°$C and the same pressure 2.5 bar will have the ratio of kinetic energies of their molecules as:

(1) 1:1       (2) 1:2       (3) 1:4         (4) 4:1

Concept Questions :-

Kinetic energy of gas
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On 0$°$C, the pressure measured by the barometer is 760 mm.  What will be pressure at 100$°$C?                                  [AFMC 2002]

(1) 760 mm        (2) 730 mm          (3) 780 mm           (4) None of these

Concept Questions :-

Ideal gas
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By what percentage, should the pressure of a given mass of gas be increased, so as to decrease its volume by 10% at a constant temperature?

(1) 5%      (2) 7.2 %         (3) 12.5%          (4) 11.1%

Concept Questions :-

Ideal gas