The volume occupied by the molecules contained in \(4.5~\text{kg}\) water at STP, if the molecular forces vanish away, is:
1. \(5.6~\text{m}^3\) 
2. \(5.6\times10^{6}~\text{m}^3\)
3. \(5.6\times10^{3}~\text{m}^3\) 
4. \(5.6\times10^{-3}~\text{m}^3\)
Subtopic:  Ideal Gas Equation |
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Given below are two statements: 
Assertion (A): As a gas bubble rises from the bottom of a lake, its volume decreases.
Reason (R): As the gas bubble rises from the bottom of a lake, the pressure of the gas within decreases.
 
1. (A) is True but (R) is False.
2. (A) is False but (R) is True.
3. Both (A) and (R) are True and (R) is the correct explanation of (A).
4. Both (A) and (R) are True but (R) is not the correct explanation of (A).
Subtopic:  Ideal Gas Equation |
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Which of the following diagrams (figure) depicts ideal gas behaviour?

      

1. (a), (c) 2. (a), (d)
3. (c), (d) 4. (a), (b)
Subtopic:  Ideal Gas Equation |
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A cylinder contains hydrogen gas at a pressure of \(249~\text{kPa}\) and temperature \(27^\circ\text{C}.\) Its density is: (\(R=8.3~\text{J mol}^{-1} \text {K}^{-1}\))
1. \(0.2~\text{kg/m}^{3}\)
2. \(0.1~\text{kg/m}^{3}\)
3. \(0.02~\text{kg/m}^{3}\)
4. \(0.5~\text{kg/m}^{3}\)

Subtopic:  Ideal Gas Equation |
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The process on an ideal gas as shown in the figure given below is:
             

1. isothermal
2. isobaric
3. isochoric
4. none of these

Subtopic:  Ideal Gas Equation |
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An ideal gas equation can be written as \(P = \dfrac{ρRT}{M_{0}}\) where \(\rho\) and \(M_{0}\) are respectively:
1. mass density, the mass of the gas.
2. number density, molar mass.
3. mass density, molar mass.
4. number density, the mass of the gas.

Subtopic:  Ideal Gas Equation |
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The pressure exerted by a gas enclosed within a room is due to:

1. collisions of the gas molecules with the walls of the room
2. the repulsive force between molecules of the gas
3. weight of the molecules of the gas
4. angular momentum of the molecules
Subtopic:  Kinetic Energy of an Ideal Gas |
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A gas in a vessel is initially at pressure \(P.\) If the mass of all the gas molecules is halved and their speed is doubled, then the resultant pressure will be:
1. \(2 P\) 2. \(P\)
3. \(\dfrac{P}{2}\) 4. \(4 P\)
Subtopic:  Kinetic Energy of an Ideal Gas |
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Suppose that the average kinetic energy (translational & rotational) of random molecular motion of helium (\(He\)) at temperature \(T_{He}\) is equal to that of hydrogen (\(H_2\)) at temperature \(T_{H_2}\). Then, 
1. \(T_{H_{2}}=T_{H e}\) 2. \(\dfrac{T_{H_2}}{2}=\dfrac{T_{He}}{4}\)
3. \(5 T_{H_2}=3 T_{He}\) 4. \(\dfrac{T_{H_{2}}}{5}=\dfrac{T_{{He }}}{3}\)
Subtopic:  Kinetic Energy of an Ideal Gas |
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Which of the following parameters is the same for molecules of all gases at a given temperature?
1. mass
2. speed
3. momentum
4. kinetic energy

Subtopic:  Kinetic Energy of an Ideal Gas |
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