At a pressure of 24 × 105 dyne/cm2, the volume of O2 is 10 litre and mass is 20g. The rms velocity will be:

1. 800 m/s 2. 400 m/s
3. 600 m/s 4. Data is incomplete

Subtopic:  Types of Velocities |
 76%
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The ratio of vrms:vmp:vavg is: (symbols have their usual meaning)

1. 3:2:π8
2. 3:2:83
3. 3:8π:2
4. 3:2:8π

Subtopic:  Types of Velocities |
 76%
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The volume and temperature graph is given in the figure below. If pressures for the two processes are different, then which one,  of the following, is true?

          

1.  \(P_1=P_2\) and \(P_3=P_4\) and \(P_3>P_2\)
2. \(P_1=P_2\) and \(P_3=P_4\) and \(P_3<P_2\)
3. \(P_1=P_2\) \(=\) \(P_3=P_4\)
4. \(P_1>P_2\) \(>\) \(P_3>P_4\)
Subtopic:  Ideal Gas Equation |
 69%
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The volume \(V\) versus temperature \(T\) graph for a certain amount of a perfect gas at two pressures \(\mathrm{P}_1\) and 
\(\mathrm{P}_2\) are shown in the figure. Here:

  

1.  \(\mathrm{P}_1<\mathrm{P}_2\)
2. \(\mathrm{P}_1>\mathrm{P}_2\)
3. \(\mathrm{P}_1=\mathrm{P}_2\)
4.  Pressures can’t be related
Subtopic:  Ideal Gas Equation |
 83%
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We have two vessels of equal volume, one filled with hydrogen and the other with equal mass of helium. The common temperature is \(27^{\circ}\mathrm{C}\) . What is the relative number of molecules in the two vessels?
1. \(\frac{n_H}{n_{He}} = \frac{1}{1}\)
2. \(\frac{n_H}{n_{He}} = \frac{5}{1}\)
3. \(\frac{n_H}{n_{He}} = \frac{2}{1}\)
4. \(\frac{n_H}{n_{He}} = \frac{3}{1}\)

Subtopic:  Ideal Gas Equation |
 65%
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During an experiment, an ideal gas is found to obey an additional law VP2 = constant. The gas is initially at temperature T and volume V. What will be the temperature of the gas when it expands to a volume 2V?

1. T'=4T

2. T'=2T

3. T'=5T

4. T'=6T

Subtopic:  Ideal Gas Equation |
 81%
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The value of CP-Cv=1.00 R for a gas in state A and CP-Cv=1.06 R in another state B. If PA and PB denote the pressure and TA & TB denote the temperatures in the two states, then:

1. \(P_A=P_B ; T_A>T_B\)
2. \(P_A>P_B ; T_A=T_B\)
3. \(P_A<P_B ; T_A>T_B\)
4. \(P_A=P_B ; T_A<T_B\)

Subtopic:  Specific Heat |
 50%
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The root mean square velocity of the molecules of a gas is 300 m/s. What will be the root mean square speed of the molecules if the atomic weight is doubled and absolute temperature is halved?

1. 300 m/s 2. 150 m/s
3. 600 m/s 4. 75 m/s
Subtopic:  Types of Velocities |
 80%
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At \(10^{\circ}\mathrm{C}\) the value of the density of a fixed mass of an ideal gas divided by its pressure is \(x\). At \(110^{\circ}\mathrm{C}\) this ratio is:

1. \(x\) 2. \(\dfrac{383}{283}x\)
3. \(\dfrac{10}{110}x\) 4. \(\dfrac{283}{383}x\)
Subtopic:  Ideal Gas Equation |
 69%
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AIPMT - 2008
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The amount of heat energy required to raise the temperature of \(1\) g of Helium at NTP, from \({T_1}\) K to \({T_2}\) K is:
1. \(\frac{3}{2}N_ak_B(T_2-T_1)\)
2. \(\frac{3}{4}N_ak_B(T_2-T_1)\)
3. \(\frac{3}{4}N_ak_B\frac{T_2}{T_1}\)
4. \(\frac{3}{8}N_ak_B(T_2-T_1)\)

Subtopic:  Specific Heat |
 51%
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AIPMT - 2013
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