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
Two vessels separately contain two ideal gases A and B at the same temperature, the pressure of A being twice that of B. Under such conditions, the density of A is found to be 1.5 times the density of B. The ratio of molecular weight of A and B is:
(a)2/3
(b)3/4
(c)2
(d)1/2
A monoatomic gas at a pressure p, having a volume V expands isothermally to a volume 2 V and then adiabatically to a volume 16 V. The final pressure of the gas is: (take γ=5/3)
(1) 64ρ
(2) 32ρ
(3) ρ/64
(4) 16ρ
The mean free path of molecules of a gas, (radius r) is inversely proportional to :
(1) r3
(2) r2
(3) r
(4) √r
The molar specific heats of an ideal gas at constant pressure and volume are denoted by CP and CV respectively. If γ=CP/CV and R is the universal gas constant, then CV is equal to
(1) 1+γ/1-γ
(2)R/(γ-1)
(3)(γ-1)/R
(4)γR
If and denote the specific heats (per unit mass) of an ideal gas of molecular weight M
1.
2.
3.
4.
At the value of the density of a fixed mass of an ideal gas divided by its pressure is x. At this ratio is
1. x
2.
3.
4.