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

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Difficulty Level:

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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Difficulty Level:

Mean kinetic energy per degree of freedom of gas molecules is

1.

2. $\mathrm{kT}$

3.

4.

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Difficulty Level:

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.

2.

3.

4.