A thermally insulated piston divides a container into two compartments.  Volume, temperature, and pressure in the right compartment are 2V, T, and 2P, while in the left compartment the respective values are V, T, and P.  If the piston can slide freely, then in the final equilibrium position, the volume of the right-hand compartment will be-

(1) V            (2) 3V5          (3) 9V4          (4) 12V5

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The graph which represents the variation of mean kinetic energy of molecules with temperature t°C is ?

(1)

 

(2)

(3) 

(4)

Concept Questions :-

Kinetic energy of gas
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Vrms,Vav,Vmp are root mean square, average and most probable speeds of molecules of a gas obeying Maxwellian velocity distribution. Which of the following statements is correct?

1. Vrms<Vav<Vmp

2. Vrms>Vav>Vmp

3. Vrms < Vav>Vmp

4. Vavg>Vrms<Vmp

Concept Questions :-

Types of velocity
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Gas is found to obey the law P2V = constant. The initial temperature and volume are T0 and V0. If the gas expands to a volume 3V0, its final temperature becomes:

(a) T03           (b) T03

(c) 3T0           (d) None of these

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For a gas, the r.m.s speed at 800 K is:

(1) Four times the value at 200 K

(2) Half the value at 200 K

(3) Twice the value at 200 K

(4) Same as at 200 K

Concept Questions :-

Types of velocity
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The average kinetic energy of a helium atom at 30°C is:                                                                                           [MP PMT 2004]

(1) Less than 1 eV

(2) A few KeV

(3) 50-60 eV

(4) 13.6 eV

Concept Questions :-

Kinetic energy of gas
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The mean translational kinetic energy of a perfect gas molecule at the temperature T Kelvin is:

(1) 12kT         (2) kT             (3) 32kT            (4) 2 kT

Concept Questions :-

Kinetic energy of gas
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Choose the correct option related to the specific heat at constant volume CV -

(1) CV=12fR              (2) CV=Rγ-1

(3) CV=CPγ                (4) All of these

Concept Questions :-

Specific heat
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The curve between absolute temperature and vrms2 is:

(a)        

(b) 

(c)          

(d) 

Concept Questions :-

Types of velocity
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Five molecules of a gas have speeds, 1, 2, 3, 4 and 5 kms-1.  The value of the root mean square speed of the gas molecules is:

(1) 3 kms-1             (2) 11kms-1

(3) 12πkms-1    (4) 3.5 kms-1

Concept Questions :-

Types of velocity
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