N molecules each of mass m of gas A and 2N molecules each of mass 2m of gas B are contained in the same vessel at temperature T. The mean square of the velocity of molecules of gas B is v2 and the mean square of x component of the velocity of molecules of gas A is w2. The ratio is w2v2is

1.  1                                 

2.  2

3.  13                               

4.  23

Subtopic:  Types of Velocities |
From NCERT
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A gas is filled in a cylinder, its temperature is increased by 20% on Kelvin scale and volume is reduced by 10%. How much percentage of the gas will leak out: (Assume pressure is constant)

1. 30%                           

2. 40%

3. 15%                           

4. 25%

Subtopic:  Ideal Gas Equation |
 55%
From NCERT
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The air density at Mount Everest is less than that at the sea level. It is found by mountaineers that for one trip lasting a few hours, the extra oxygen needed by them corresponds to 30,000 cc at sea level (pressure 1 atmosphere, temperature 27°C). Assuming that the temperature around Mount Everest is –73°C and that the oxygen cylinder has capacity of 5.2 litre, the pressure at which O2 be filled (at site) in cylinder is

1.  3.86 atm                     

2.  5.00 atm

3.  5.77 atm                     

4.  1 atm

Subtopic:  Ideal Gas Equation |
 64%
From NCERT
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12 mole of helium gas is contained in a container at S.T.P. The heat energy needed to double the pressure of the gas, keeping the volume constant (specific heat of the gas =3 J gm-1 K-1) is 

1.  3276 J                   

2.  1638 J

3.  819 J                     

4.  409.5 J

Subtopic:  Specific Heat |
 60%
From NCERT
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The equation of state of a gas is given by P+aT2VVc=RT+b, where a, b, c and R are constants. The isotherms can be represented by P=AVm-BVn, where A and B depend only on temperature and 

1. m=-c and n=-1                       

2. m=c and n=1

3. m=-c and n=1                           

4. m=c and n=-1

Subtopic:  Ideal Gas Equation |
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70 calories of heat is required to raise the temperature of 2 moles of an ideal gas at constant pressure from 30°C to 35°C. The amount of heat required to raise the temperature of same gas through the same range (30°C to 35°C) at constant volume (R = 2 cal/mol/K)

1.  30 cal                       

2.  50 cal

3.  70 cal                       

4.  90 cal

Subtopic:  Specific Heat |
 74%
From NCERT
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A closed compartment containing gas is moving with some acceleration in horizontal direction. Neglect effect of gravity. Then the pressure in the compartment is

1. Same everywhere                           

2. Lower in the front side

3. Lower in the rear side                     

4. Lower in the upper side

Subtopic:  Kinetic Energy of an Ideal Gas |
From NCERT
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Three closed vessels A, B and C are at the same temperature T and contain gases which obey the Maxwellian distribution of velocities. Vessel A contains only O2 , B only N2 and C a mixture of equal quantities of O2 and N2. If the average speed of the O2 molecules in vessel A is V1 , that of the N2 molecules in vessel B is V2 , the average speed of the O2 molecules in vessel C is

1. V1+V2/2                           

2. V1

3. V1V21/2                               

4. 3 kT/M

Subtopic:  Types of Velocities |
From NCERT
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A box containing N molecules of a perfect gas at temperature T1 and pressure P1. The number of molecules in the box is doubled keeping the total kinetic energy of the gas same as before. If the new pressure is P2 and temperature T2, then

1. P2=P1, T2=T1                           

2. P2=P1, T2=T12

3. P2=2P1, T2=T1                         

4. P2=2P1, T2=T12

Subtopic:  Kinetic Energy of an Ideal Gas |
From NCERT
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Two identical glass bulbs are interconnected by a thin glass tube. A gas is filled in these bulbs at N.T.P. If one bulb is placed in ice and another bulb is placed in hot bath, then the pressure of the gas becomes 1.5 times. The temperature of hot bath will be

      

1.  100°C                     

2.  182°C

3.  256°C                     

4.  546°C

Subtopic:  Ideal Gas Equation |
From NCERT
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