At 0 K which of the following properties of a gas will be zero

1. Kinetic energy                     

2. Potential energy

3. Vibrational energy               

4. Density

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A gas mixture consists of molecules of type 1, 2 and 3, with molar masses m1>m2>m3. Vrms and K¯ are the r.m.s. speed and average kinetic energy of the gases. Which of the following is true

1. Vrms1<Vrms2<Vrms3 and K¯1=K¯2=K¯3

2. Vrms1=Vrms2=Vrms3 and K¯1=K¯2>K¯3

3. Vrms1>Vrms2>Vrms3 and K¯1<K¯2>K¯3

4. Vrms1>Vrms2>Vrms3 and K¯1<K¯2<K¯3

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Two ideal gases at absolute temperature T1 and T2 are mixed. There is no loss of energy. The masses of the molecules are m1 and m2 and the number of molecules in the gases are n1 and n2 respectively. The temperature of mixture will be

1. T1+T22 energy                     

2. T1+T2n1n2

3. n1T1+n2T2n1+n2                         

4. T1+T2

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The molecules of an ideal gas at a certain temperature have

1. Only potential energy

2. Only kinetic energy

3. Potential and kinetic energy both

4. None of the above

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Mean kinetic energy per degree of freedom of gas molecules is

1. 32 kT                       

2. kT

3. 12 kT                       

4. 32 RT

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The temperature at which the average translational kinetic energy of a molecule is equal to the energy gained by an electron in accelerating from rest through a potential difference of 1 volt is

1.  4.6×103 K                 

2.  11.6×103 K

3.  23.2×103 K               

4.  7.7×103 K

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The kinetic energy of one mole gas at 300 K temperature, is E. At 400 K temperature kinetic energy is E'. The value of E'/E is

1.  1.33                         

2.  43

3.  169                           

4.  2

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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

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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

1. 30%                           

2. 40%

3. 15%                           

4. 25%

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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

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