If the universal gas constant is R, the essential heat required to increase the temperature from 273 K to 473 K at a constant volume of 4 moles of an ideal monoatomic gas is :
1. 200 R
2. 400 R
3. 800 R
4. 1200 R
The temperature of a gas contained in a closed vessel of constant volume increased by 1C when the pressure of the gas is increased by 1%. The initial temperature of the gas is :
1. 100 K
2. 273C
3. 100C
4. 200 K
When the temperature of a gas increases by 1C, its pressure increases by 0.4%. What is its initial temperature?
1. 250 K
2. 240 K
3. 210 K
4. 200 K
Two gases A and B having the same pressure P, volume V and absolute temperature T are mixed. If the mixture has the volume and temperature as V and T respectively, then the pressure of the mixture is :
1. 2P
2. P
3.
4. 4P
At constant pressure, which of the following is true?
1.
2.
3.
4.
The tire of a motor car contains air at 15C. If the temperature increases to 35C, the approximate percentage increase in pressure is (ignore the expansion of tire) :
1. 7%
2. 9%
3. 11%
4. 13%
A horizontal uniform glass tube of 100 cm length sealed at both ends contains a 10 cm mercury column in the middle. The temperature and pressure of air on either side of the mercury column are respectively 31C and 76 cm of mercury. If the air column at one end is kept at 0C and the other end at 273C, the pressure of air which is at 0C is (of Hg) :
1. 76
2. 88.2
3. 102.4
4. 12.2
To what temperature should the hydrogen at 327C be cooled at constant pressure, so that the root mean square velocity of its molecules becomes half of its previous value?
1. -123C
2. 123C
3. -100C
4. 0C
Air inside a closed container is saturated with water vapour. The air pressure is P and the saturated vapour pressure of water is . If the mixture is compressed to one half of its volume by maintaining temperature constant, the pressure becomes :
1. 2(P+)
2. (2P+)
3. (P+)/2
4. P+2
A vessel contains 32 g of at a temperature T. The pressure of the gas is p. An identical vessel containing 4 g of at a temperature 2T has a pressure of :
1. 8p
2. 4p
3. p
4.
If is the ratio of specific heats and R is the universal gas constant, then the molar specific heat at constant volume is given by :
1. R
2.
3.
4.
A gas mixture consists of 2 moles of oxygen and 4 moles of argon at temperature T. Neglecting all vibrational moles, the total internal energy of the system is :
1. 4 RT
2. 15 RT
3. 9 RT
4. 11 RT
Six molecules have speeds 2 units, 5 units, 3 units, 6 units, 3 units, d 5 units respectively. The RMS speed is :
1. 4 unit
2. 1.7 unit
3. 4.2 unit
4. 5 unit