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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Difficulty Level:

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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Difficulty Level:

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

1.

2.

3.

4.

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Difficulty Level:

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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Difficulty Level:

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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Difficulty Level:

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:

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

1.

2.

3.

4.

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Difficulty Level:

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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Difficulty Level:

A gas mixture consists of molecules of type 1, 2 and 3, with molar masses  and $\overline{\mathrm{K}}$ are the r.m.s. speed and average kinetic energy of the gases. Which of the following is true

1.

2.

3.

4.

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Difficulty Level:

Two ideal gases at absolute temperature ${\mathrm{T}}_{1}$ and ${\mathrm{T}}_{2}$ are mixed. There is no loss of energy. The masses of the molecules are ${\mathrm{m}}_{1}$ and ${\mathrm{m}}_{2}$ and the number of molecules in the gases are ${\mathrm{n}}_{1}$ and ${\mathrm{n}}_{2}$ respectively. The temperature of mixture will be

1.

2. $\frac{{\mathrm{T}}_{1}+{\mathrm{T}}_{2}}{{\mathrm{n}}_{1}{\mathrm{n}}_{2}}$

3. $\frac{{\mathrm{n}}_{1}{\mathrm{T}}_{1}+{\mathrm{n}}_{2}{\mathrm{T}}_{2}}{{\mathrm{n}}_{1}+{\mathrm{n}}_{2}}$

4. $\left({\mathrm{T}}_{1}+{\mathrm{T}}_{2}\right)$