A thermally insulated piston divides a container into two compartments. Volume, temperature, and pressure in the right compartment are 2V, T and 2P, while in the left compartment the respective values are V, T and P. If the piston can slide freely, then in the final equilibrium position, the volume of the right-hand compartment will be:
1. | V | 2. | 3V5 |
3. | 9V4 | 4. | 12V5 |
The graph which represents the variation of mean kinetic energy of molecules with temperature t°C is ?
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Vrms,Vav,Vmp are root mean square, average and most probable speeds of molecules of a gas obeying Maxwellian velocity distribution. Which of the following statements is correct?
1. Vrms<Vav<Vmp
2. Vrms>Vav>Vmp
3. Vrms < Vav>Vmp
4. Vavg>Vrms<Vmp
Gas is found to obey the law P2V = constant. The initial temperature and volume are T0 and V0. If the gas expands to a volume 3V0, its final temperature becomes:
1. T03
2. T0√3
3. 3T0
4. None of these
For a gas, the r.m.s speed at 800 K is:
1. Four times the value at 200 K
2. Half the value at 200 K
3. Twice the value at 200 K
4. Same as at 200 K
The average kinetic energy of a helium atom at 30°C is: [MP PMT 2004]
1. Less than 1 eV
2. A few KeV
3. 50-60 eV
4. 13.6 eV
Choose the correct option related to the specific heat at constant volume CV -
1. CV=12fR
2. CV=Rγ-1
3. CV=CPγ
4. All of these
The curve between absolute temperature and v2rms is:
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Five molecules of a gas have speeds, 1, 2, 3, 4 and 5 kms-1. The value of the root mean square speed of the gas molecules is:
1. 3 kms-1
2. √11 kms-1
3. 12√π kms-1
4. 3.5 kms-1
The average velocity of an ideal gas molecule is:
1. | proportional to √T |
2. | proportional to T2 |
3. | proportional to T3 |
4. | zero |