A vessel contains 1 mole of ${\mathrm{O}}_{2}$ gas (molar mass 32) at a temperature T. The pressure of the gas is P. An identical vessel containing one mole of He gas (molar mass 4) at temperature 2T has a pressure of

1. P/8

2. P

3. 2P

4. 8P

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Ideal gas
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A given mass of a gas is allowed to expand freely until its volume becomes double. If ${\mathrm{C}}_{\mathrm{b}}$ and ${\mathrm{C}}_{\mathrm{a}}$ are the velocities of sound in this gas before and after expansion respectively, then ${\mathrm{C}}_{\mathrm{a}}$ is equal to :

1. $2{\mathrm{C}}_{\mathrm{b}}$

2. $\sqrt{2}{\mathrm{C}}_{\mathrm{b}}$

3. ${\mathrm{C}}_{\mathrm{b}}$

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

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Ideal gas
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One litre of Helium gas at a pressure 76 cm of Hg and temperature 27° is heated till its pressure and volume are doubled. The final temperature attained by the gas is :

1.  927°C

2.  900°C

3.  627°C

4.  327°C

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Ideal gas
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The molecular weight of a gas is 44. The volume occupied by 2.2 g of this gas at $0°\mathrm{C}$ and 2 atm. Pressure will be

1.  0.56 litre

2.  1.2 litres

3.  2.4 litres

4.  5.6 litres

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Ideal gas
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A gas at 27°C temperature and 30 atmospheric pressure is allowed to expand to the atmospheric pressure. If the volume becomes 10 times its initial volume, then the final temperature becomes

1.  100°C

2.  173°C

3.  273°C

4.  – 173°C

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Ideal gas
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In the relation

1.  Number of molecules

2.  Atomic number

3.  Mass number

4.  Number of moles

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Ideal gas
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Difficulty Level:

The equation of state corresponding to 8 g of ${\mathrm{O}}_{2}$ is :

1.  PV = 8RT

2.  PV = RT/4

3.  PV = RT

4.  PV = RT/2

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Ideal gas
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Three containers of the same volume contain three different gases. The masses of the molecules are  and ${\mathrm{m}}_{3}$ and the number of molecules in their respective containers are  and ${\mathrm{N}}_{3}$ . The gas pressure in the containers are  and ${\mathrm{P}}_{3}$ respectively. All the gases are now mixed and put in one of the containers. The pressure P of the mixture will be :

1. $\mathrm{P}<\left({\mathrm{P}}_{1}+{\mathrm{P}}_{2}+{\mathrm{P}}_{3}\right)$

2. $\mathrm{P}=\frac{{\mathrm{P}}_{1}+{\mathrm{P}}_{2}+{\mathrm{P}}_{3}}{3}$

3. $\mathrm{P}={\mathrm{P}}_{1}+{\mathrm{P}}_{2}+{\mathrm{P}}_{3}$

4. $\mathrm{P}>\left({\mathrm{P}}_{1}+{\mathrm{P}}_{2}+{\mathrm{P}}_{3}\right)$

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Ideal gas
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At a given volume and temperature, the pressure of a gas :

1. Varies inversely as its mass

2. Varies inversely as the square of its mass

3. Varies linearly as its mass

4. Is independent of its mass

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Ideal gas
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The rate of diffusion is :

1. Faster in solids than in liquids and gases

2. Faster in liquids than in solids and gases

3. Equal to solids, liquids, and gases

4. Faster in gases than in liquids and solids

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Ideal gas