The pressure and temperature of two different gases are P and T with volume V for each. If they are mixed, keeping the same volume and temperature, the pressure of the mixture will be:
1. | P/2 | 2. | P |
3. | 2P | 4. | 4P |
If the mean free path of atoms is doubled then the pressure of the gas will become:
1. \(P/4\)
2. \(P/2\)
3. \(P/8\)
4. \(P\)
The average kinetic energy of a helium atom at is: [MP PMT 2004]
1. Less than 1 eV
2. A few KeV
3. 50-60 eV
4. 13.6 eV
At constant temperature, on increasing the pressure of a gas by 5% , its volume will decrease by:
1. 5%
2. 5.26 %
3. 4.26 %
4. 4.76 %
The kinetic energy of one gram molecule of a gas at standard temperature and pressure is: (R = 8.31 J/mol-K)
1. 0.56
2.
3.
4.
Molecular weight of two gases are \(M_1\) and \(M_2.\) At any temperature, the ratio of root mean square velocities \(v_1\) and \(v_2\) will be:
1. \(\sqrt{\frac{M_1}{M_2}}\)
2. \(\sqrt{\frac{M_2}{M_1}}\)
3. \(\sqrt{\frac{M_1+M_2}{M_1-M_2}}\)
4. \(\sqrt{\frac{M_1-M_2}{M_1+M_2}}\)
A gas mixture consist of 2 moles of and 4 moles of Ar at temperature T. Neglecting all vibrational modes, the total internal energy of the system is:
(1)4RT
(2) 15RT
(3)9RT
(4)11RT
One mole of an ideal monatomic gas undergoes a process described by the equation constant. The heat capacity of the gas during this process is:
(1)
(2)
(3)
(4)
A given sample of an ideal gas occupies a volume V at a pressure p and absolute temperature T. The mass of each molecule of the gas is m. Which of the following gives the density of the gas?
(1) p/(kT) (2) pm / (kT)
(3) p/ (kTV) (4) mkT
The molecules of a given mass of gas have rms velocity of 200 ms-1 at \(27^{\circ}\mathrm{C}\) and 1.0 x 105 Nm-2 pressure. When the temperature and pressure of the gas are increased to, respectively, \(127^{\circ}\mathrm{C}\) and 0.05 X 105 Nm-2, rms velocity of its molecules in ms-1 will become:
1. 400/√3
2. 100√2/3
3. 100/3
4.100√2