The figure shows a plot of \(PV/T\) versus \(P\) for \(1 . 00 \times 10^{- 3}   \text{ kg}\) of oxygen gas at two different temperatures.

The value of \(PV/T\) where the curves meet on the y-axis is:

1. 0.06 J K-1
2. 0.36 J K-1
3. 0.16 J K-1
4. 0.26 J K-1

Subtopic:  Ideal Gas Equation |
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An oxygen cylinder of volume 30 litres has an initial gauge pressure of 15 atm and a temperature of 27 °C. After some oxygen is withdrawn from the cylinder, the gauge pressure drops to 11 atm, and its temperature drops to 17 °C. The mass of oxygen taken out of the cylinder is: R=8.31 mol-1K-1, molecular mass of O2=32 u

1. 0.14 kg
2. 0.16 kg
3. 0.18 kg
4. 0.21 kg

Subtopic:  Ideal Gas Equation |
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An air bubble of volume 1.0 cm3 rises from the bottom of a lake 40 m deep at a temperature of 12 °C. To what volume does it grow when it reaches the surface, which is at a temperature of 35 °C?
1. 5.3 cm3
2. 4.0 cm3
3. 3.7 cm3
4. 4.9 cm3

Subtopic:  Ideal Gas Equation |
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What is the total number of air molecules (inclusive of oxygen, nitrogen, water vapor, and other constituents) in a room of capacity \(25.0\) mat a temperature of \(27^\circ \mathrm C\) and \(1\) atm pressure?
1. \(6.1\times10^{23}\) molecules
2. \(6.1\times10^{26}\) molecules
3. \(7.1\times10^{23}\) molecules
4. \(7.1\times10^{26}\) molecules

Subtopic:  Ideal Gas Equation |
 60%
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What is the average thermal energy of a helium atom at room temperature (\(27^{\circ}\mathrm{C}\))?

1. \(11 . 21 \times 10^{- 20}   \text{J}\) 2. \(3 . 09 \times 10^{- 16}  \text{J}\)
3. \( 6 . 21 \times 10^{- 21}   \text{J} \) 4. \(5 . 97 \times 10^{- 19}   \text{J}\)
Subtopic:  Law of Equipartition of Energy |
 64%
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At what temperature is the root mean square speed of an atom in an argon gas cylinder equal to the rms speed of a helium gas atom at \(-20^\circ \mathrm{C}?\)
(Given the atomic mass of \(\text{Ar}=39.9~\text{u}\) and of \(\text{He}=4.0~\text{u}\)).
1. \(1.01 \times 10^3 ~\text{K} \)
2. \(3.15 \times 10^3 ~\text{K} \)
3. \(1.91 \times 10^3~ \text{K} \)
4. \(2.52 \times 10^3 ~\mathrm{K}\)

Subtopic:  Types of Velocities |
 74%
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From a certain apparatus, the diffusion rate of hydrogen has an average value of 28.7 cm3 s-1. The diffusion of another gas under the same conditions is measured to have an average rate of 7.2 cm3 s-1. The unknown gas is:
1. Oxygen
2. Nitrogen
3. Helium
4. None of these

Subtopic:  Types of Velocities |
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The figure shows a plot of \(\dfrac{PV}{T}\) versus \(P\) for \(1.00\times10^{-3} \) kg of oxygen gas at two different temperatures.

      

Then relation between \(T_1\) and \(T_2\) is: 
1. \(T_1=T_2\)
2. \(T_1<T_2\)
3. \(T_1>T_2\)
4. \(T_1 \geq T_2\)

Subtopic:  Ideal Gas Equation |
 61%
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Molar volume is the volume occupied by \(1\) mol of any (ideal) gas at standard temperature and pressure is:
(STP: \(1\) atmospheric pressure, \(0~^\circ \text{C}\))
1. \(0\) 
2. \(22.4\) litres
3. \(11.2\) litres
4. \(1\) litres

Subtopic:  Ideal Gas Equation |
 87%
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The fraction of molecular volume to the actual volume occupied by oxygen gas at STP is: (Take the diameter of an oxygen molecule to be 3 Å).
1. 4 × 10−4
2. 5 × 10−4
3. 3 × 10−4
4. 1 × 10−4

Subtopic:  Ideal Gas Equation |
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