A sealed container with negligible coefficient of volumetric expansion contains helium (a monoatomic gas). When it is heated from 300 K to 600 K, the average K.E. of helium atoms is

1. Halved

2. Unchanged

3. Doubled

4. Increased by factor $\sqrt{2}$

Concept Questions :-

Kinetic energy of gas
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The kinetic energy of translation of 20 gm of oxygen at 47°C is (molecular wt. of oxygen is 32 gm/mol and R = 8.3 J/mol/K)

1.  2490 joules

2.  2490 ergs

3.  830 joules

4.  124.5 joules

Concept Questions :-

Kinetic energy of gas
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The translatory kinetic energy of a gas per gm is

1.  $\frac{3}{2}\frac{\mathrm{RT}}{\mathrm{N}}$

2.  $\frac{3}{2}\frac{\mathrm{RT}}{\mathrm{M}}$

3.  $\frac{3}{2}\mathrm{RT}$

4.  $\frac{3}{2}\mathrm{NKT}$

Concept Questions :-

Kinetic energy of gas
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The kinetic energy of one gram molecules of a gas at standard temperature and pressure:

1.

2.

3.

4.

Concept Questions :-

Kinetic energy of gas
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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.

2.

3.

4.

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At 27°C temperature, the kinetic energy of an ideal gas is ${\mathrm{E}}_{1}$. If the temperature is increased to 327°C, then kinetic energy would be

1.  $2{\mathrm{E}}_{1}$

2.  $\frac{1}{2}{\mathrm{E}}_{1}$

3.  $\sqrt{2}{\mathrm{E}}_{1}$

4.  $\frac{1}{\sqrt{2}}{\mathrm{E}}_{1}$

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The average kinetic energy of a gas molecule at $27°\mathrm{C}$ is  Its average kinetic energy at $227°\mathrm{C}$ will be

1.

2.

3.

4.

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The average translational kinetic energy of ${\mathrm{O}}_{2}$ (molar mass 32) molecules at a particular temperature is 0.048 eV. The translational kinetic energy of ${\mathrm{N}}_{2}$ (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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Difficulty Level: