A vessel is partitioned in two equal halves by a fixed diathermic separator. Two different ideal gases are filled in left (L) and right (R) halves. The rms speed of the molecules in L part is equal to the mean speed of molecules in the R part. Then the ratio of the mass of a molecule in L part to that of a molecule in R part is 1. $\sqrt{\frac{3}{2}}$

2. $\sqrt{\frac{\mathrm{\pi }}{4}}$

3. $\sqrt{\frac{2}{3}}$

4. $\frac{3\mathrm{\pi }}{8}$

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A gas is filled in the cylinder shown in the figure. The two pistons are joined by a string. If the gas is heated, the pistons will 1.Move towards left

2. Move towards right

3. Remain stationary

4. None of these

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A closed vessel contains 8gm of oxygen and 7gm of nitrogen. The total pressure is 10 atm at a given temperature. If now oxygen is absorbed by introducing a suitable absorbent the pressure of the remaining gas in atm will be

1.  2

2.  10

3.  4

4.  5

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${\mathrm{CO}}_{2}\left(\mathrm{O}=\mathrm{C}=\mathrm{O}\right)$ is a triatomic gas. Mean kinetic energy of one gram gas will be (If N-Avogadro's number, k-Boltzmann's constant and molecular weight of ${\mathrm{CO}}_{2}=44$ , Degree of freedom f = 7)

1.

2.

3.

4.

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40 calories of heat is needed to raise the temperature of 1 mole of an ideal monoatomic gas from 20°C to 30°C at a constant pressure. The amount of heat required to raise its temperature over the same interval at a constant volume  is

1.  20 calorie

2.  40 calorie

3.  60 calorie

4.  80 calorie

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The pressure and volume of saturated water vapour are P and V respectively. It is compressed isothermally thereby volume becomes V/2, the final pressure will be

1.  More than 2P

2.  P

3.  2P

4.  4P

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If the intermolecular forces vanish away, the volume occupied by the molecules contained in 4.5 kg water at standard temperature and pressure will be

1.

2.

3.

4.

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When an air bubble of radius ‘r’ rises from the bottom to the surface of a lake, its radius becomes 5r/4 (the pressure of the atmosphere is equal to the 10 m height of water column). If the temperature is constant and the surface tension is neglected, the depth of the lake is

1.  3.53 m

2.  6.53 m

3.  9.53 m

4.  12.53 m

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A horizontal uniform glass tube of 100 cm, length sealed at both ends contain 10 cm mercury column in the middle. The temperature and pressure of air on either side of mercury column are respectively 81°C and 76 cm of mercury. If the air column at one end is kept at 0°C and the other end at 273°C, the pressure of air which is at 0°C is (in cm of Hg) 1.  76

2.  68.2

3.  102.4

4.  122

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At standard temperature and pressure the density of a gas is  and the speed of the sound in gas is 330 m/sec. Then the degree of freedom of the gas will be

1.  3

2.  4

3.  5

4.  6