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
The temperature of 5 moles of a gas which was held at constant volume was changed from to . The change in internal energy was found to be 80 Joules. The total heat capacity of the gas at constant volume will be equal to
1. 8 J/K
2. 0.8 J/K
3. 4.0 J/K
4. 0.4 J/K
The temperature at which the r.m.s. speed of hydrogen molecules is equal to escape velocity on earth surface, will be
1. 1060 K
2. 5030 K
3. 8270 K
4. 10063 K
Inside a cylinder having insulating walls and closed at ends is a movable piston, which divides the cylinder into two compartments. On one side of the piston is a mass m of a gas and on the other side a mass 2 m of the same gas. What fraction of volume of the cylinder will be occupied by the larger mass of the gas when the piston is in equilibrium ? Consider that the movable piston is conducting so that the temperature is the same throughout
1.
2.
3.
4.
The diameter of oxygen molecules is The Vander Waal's gas constant 'b' in will be
1.
2.
3.
4.
The temperature of the mixture of one mole of helium and one mole of hydrogen is increased from to at constant pressure. The amount of heat delivered will be
1. 600 cal
2. 1200 cal
3. 1800 cal
4. 3600 cal
A vessel contains a mixture of one mole of oxygen and two moles of nitrogen at \(300\) K. The ratio of the average rotational kinetic energy per molecule to that per molecule is:
1. | 1 : 1 |
2. | 1 : 2 |
3. | 2 : 1 |
4. | depends on the moments of inertia of the two molecules |
A vessel contains 14 gm (7 moles) of hydrogen and 96 gm (3 moles) of oxygen at STP. A chemical reaction is induced by passing electric spark in the vessel till one of the gases is consumed. The temperature is brought back to it's starting value 273 K. The pressure in the vessel is
1. 0.1 atm
2. 0.2 atm
3. 0.3 atm
4. 0.4 atm
A jar contains a gas and few drops of water at T K. The pressure in the jar is 830 mm of mercury. The temperature of jar is reduced by 1%. The saturated vapour pressure of water at the two temperatures are 30 mm and 25 mm of mercury. Then the new pressure in the jar will be
1. 917 mm of Hg
2. 717 mm of Hg
3. 817 mm of Hg
4. None of these
Molar specific heat of oxygen at constant pressure At constant volume, 5 mol of oxygen is heated from the quantity of heat required is approximately
1.
2.
3.
4.