The mean kinetic energy of a gas at 300 K is 100 J. The mean energy of the gas at 450 K is equal to

1.  100 J                             

2.  3000 J

3.  450 J                             

4.  150 J

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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

 

1. All are correct                         

2. I and IV are correct

3. IV is correct                           

4. None of these

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The translational kinetic energy of gas molecule for one mole of the gas is equal to

1.  32 RT                               

2.  23 RT

3.  12 RT                               

4.  23 KT

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At 27°C temperature, the kinetic energy of an ideal gas is E1. If the temperature is increased to 327°C, then kinetic energy would be

1.  2E1                               

2.  12E1

3.  2E1                           

4.  12E1

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The average kinetic energy of a gas molecule at 27°C is 6.21×10-21 J. Its average kinetic energy at 227°C will be

1. 52.2×10-21 J                           

2. 5.22×10-21 J

3. 10.35×10-21 J                         

4. 11.35×10-21 J

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The average translational kinetic energy of O2 (molar mass 32) molecules at a particular temperature is 0.048 eV. The translational kinetic energy of N2 (molar mass 28) molecules in eV at the same temperature is

1.  0.0015                 

2.  0.003

3.  0.048                   

4.  0.768

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The average translational energy and the r.m.s. speed of molecules in a sample of oxygen gas at 300 K are 6.21×10-21 J and 484 m/s respectively. The corresponding values at 600 K are nearly (assuming ideal gas behaviour)

1.  12.42×1021 J, 968 m/s                     

2.  8.78×1021 J, 684 m/s

3.  6.21×1021 J, 968 m/s                       

4.  12.42×10-21 J, 684 m/s

 

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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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