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 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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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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Two chambers of different volumes, one containing m1g of a gas at pressure P1 and other containing m2g of the same gas at pressure P2 are joined to each other. If the temperature of the gas remains constant, the common pressure reached is:

1.  m1P1+m2P2m1 + m2

2.  m1P2+m2P1m1 + m2

3.  m1P2+P1+P2m21 + m2

4.  m1+m2P1P2m1P2 + m2P1

Subtopic:  Ideal Gas Equation |
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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 |
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The rms speed of oxygen atoms is v. If the temperature is halved and the oxygen atoms combine to form oxygen molecules, then the rms speed will be:

1. v2

2. v2

3. 2v

4. v2

Subtopic:  Types of Velocities |
 70%
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Two thermally insulated vessels \(1\) and \(2\) are filled with air at temperatures \(\mathrm{T_1},\) \(\mathrm{T_2},\) volume \(\mathrm{V_1},\) \(\mathrm{V_2}\) and pressure \(\mathrm{P_1},\) \(\mathrm{P_2}\) respectively. If the valve joining the two vessels is opened, the temperature inside the vessel at equilibrium will be:

1. \(T_1+T_2\) 2. \(\dfrac{T_1+T_2}{2}\)
3. \(\dfrac{T_1T_2(P_1V_1+P_2V_2)}{P_1V_1T_2+P_2V_2T_1}\) 4. \(\dfrac{T_1T_2(P_1V_1+P_2V_2)}{P_1V_1T_1+P_2V_2T_2}\)
Subtopic:  Ideal Gas Equation |
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If \(V_\text{H}\),\(V_\text{N}\) and \(V_\text{O}\) denote the root-mean square velocities of molecules of hydrogen, nitrogen and oxygen respectively at a given temperature, then:
1. \(V_\text{N}>V_\text{O}>V_\text{H}\)
2. \(V_\text{H}>V_\text{N}>V_\text{O}\)
3. \(V_\text{O}>V_\text{N}>V_\text{H}\)
4. \(V_\text{O}>V_\text{H}>V_\text{N}\)

Subtopic:  Types of Velocities |
 90%
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If the ratio of vapour density for hydrogen and oxygen is \(1 \over 16\), then under constant pressure, the ratio of their rms velocities will be:

1. \(4 \over 1\) 2. \(1 \over 4\)
3. \(1 \over 16\) 4. \(16 \over 1\)
Subtopic:  Types of Velocities |
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What is the velocity of a wave in a monoatomic gas having pressure 1 kilopascal and density 2.6 kg/m3 ?

1.  3.6 m/s                                 

2.  8.9×103 m/s

3.  Zero                                       

4.  None of these

Subtopic:  Types of Velocities |
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