Equal masses of H2, O2 and methane have been taken in a container of volume V at temperature 27°C in identical conditions. The ratio of the volumes of gases H2: O2 : CH4 would be-
8:16:1
16:8:1
16:1:2
8:1:2
Maximum deviation from ideal gas is shown by-
H2(g)
N2(g)
CH4(g)
NH3(g)
With 100% increase in temperature, the average velocity of a gaseous molecule increases by -
2.8 times
4.0 times
1.4 times
2.0 times
What volume of oxygen gas (O2) measured at 0°C and 1 atm, is needed to burn completely 1 L of propane gas (C3H8) measured under the same conditions?
7L
6L
5L
10L
The kinetic energy in kcal of 80 gms of methane gas at 227°C is
15
2.5
25
7.5
The ratio, rms velocity of SO2 rms velocity of He, of sulphur dioxide and helium gases at 30ºC is equal to
() 4
() 0.25
() 0.10
() 8
The average kinetic energy of two moles of CO2 at a certain temperature is 1800 cal. The temperature of the gas is-
() 300 K
() 150 K
() 200 K
() 400 K
For a real gas, PV is a constant over a small range of pressures at-
Boyle’s temperature
Critical temperature
Inversion temperature
Ordinary temperature
A vessel of volume 0.02 m3 contains a mixture of hydrogen and helium at 20°C and 2 atm pressure. The mass of the mixture is 5 g. The ratio of the mass of hydrogen to that of helium in the mixture, is -
1:2
1:3
2:3
3:2
Four particles have velocities 1, 0, 2, 3 m/s. The root mean square of the particles is (in m/s)
() 3.5
() 1.5
() 14/3
Joule-Thomson expansion of an ideal gas is an
Isothermal process
Isobaric process
Isoenthalpic process
Ideal process
The pressure-volume plot for an ideal gas at a given temperature has the form of a -
Straight line
Exponential curve
Rectangular hyperbola
U-shaped curve
The average, RMS and most probable velocities of gas molecules at STP increase in the order
RMS < average velocity < most probable velocity
Most probable velocity < average velocity < RMS
Average velocity < RMS < most probable velocity
RMS < most probable velocity < average velocity
Equal volumes of SO2 and He at a temperature T and pressure P are allowed to effuse through a hole. The rate of effusion of helium is
Equal to the rate of effusion of SO2
Four times the rate of effusion of SO2
Half of the rate of effusion of SO2
Twice the rate of effusion of SO2
Flask X is filled with 20 g of CH4 gas at 100 °C and another identical flask Y with 40 g O2 gas at the same temperature. The correct statement among the following is –
The pressure of the gases in the two flasks is identical
The pressure of CH4 in flask X is higher than that of O2 in flask Y
The pressure of CH4 in flask X is lower than that of O2 in flask Y
The pressure of CH4 in flask X is half that of O2 in flask Y
A certain volume of argon gas (Mol. wt. = 40) requires 45 s to effuse through a hole at a certain pressure and temperature. The same volume of another gas of unknown molecular weight requires 60s to pass through the same hole under the same conditions of temperature and pressure. The molecular weight of the gas is
53
35
71
120
The temperature of a sample of gas is raised from 127ºC to 527ºC. The average kinetic energy of the gas-
Does not changes
Is doubled
Is halved
Cannot be calculated
A helium atom is two times heavier than a hydrogen molecule at 298 K, the average kinetic energy of helium is
Two times that of hydrogen molecules
Same as that of hydrogen molecules
Four times that of hydrogen molecules
Half that of hydrogen molecules
The rms speed of a gas molecules at temperature 27 K and pressure 1.5 bar is 1×104 cm/sec. If both temperature and pressure are raised three time, the rms speed of the gas will be
() 9 × 104 cm/sec
() 3 × 104 cm/sec
() 1 × 104 cm/sec
The rate of effusion of helium gas at a pressure of 1000 torr is 10 torr min–1 What will be the rate of effusion of hydrogen gas at a pressure of 2000 torr at the same temperature?
() 20 torr min–1
() 40 torr min–1
() 202 torr min–1
() 10 torr min–1
The van der waals' constants for a gas are : a = 4 lit2 atm mol–2, b = 0.04 lit mol–1. lts Boyle temperature is roughly
1000C
1220 K
12200C
1600 K
Choose the correct statement for viscosity (η) variation with T and P for an ideal gas-
η of a gas increases with increase in temperature (T), but it is independent of pressure
η of a gas decreases with increase in T and increases with increase in P
η of a gas is independent of temperature and pressure
η of a gas increases with increase in both T and P
Since the atomic weights of C, N and O are 12, 14 and 16 respectively, among the following pair, the pair that will diffuse at the same rate is-
Carbon dioxide and nitrous oxide
Carbon dioxide and nitrogen peroxide
Carbon dioxide and carbon monoxide
Nitrous oxide and nitrogen peroxide
Oxygen is present in 1-litre flask at a pressure of 7.6× 10–10 mmHg.The number of oxygen molecules in the flask at 0 ºC is -
2.686 × 1010
26.86 × 1010
0.626 × 1012
4.123 × 108
The critical temperature and critical pressure of a gas obeying van der Waals’ equation are 30ºC and 73 atm respectively. Its van der Waals’ constant, b in litres mol-1 is, therefore
0.500
0.060
0.265
0.043
A closed vessel contains equal number of oxygen and hydrogen molecules. Consider the following statements:
1. The average speed of hydrogen molecules is greater.
2. The two gases have different average energies.
Wrong statements are –
(A) 1 and 2
(B) 2 and 3
(C) 1 nd 3
(D) 2 and 4
3. Hydrogen moleules strike the walls more often.
4. Weight of hyrogen is 18th of the weight of oxygen.
A sealed container contains 0.5 mol of SO3 gas at 100°C and 2 atm pressure. What would be the pressure in the container if the SO3 gas is decomposed completely according to the above equation and the temperature were maintained at 100°C –
SO3(g) decomposes according to the equation
2SO3g→ 2SO2g+O2g
(A) 0.5 tm
(B) 1.0 atm
(C) 2.0 atm
(D) 3.0 atm
A general form of equation of state for gases is PV=RT A+BV+CV2+........, where V is the molar volume of the gas and A, B, C, ........... are constant for the gas. The values of A and B, if the gas obeys van der Waals' equation, are respectively.
aRT, b
2aRT, b
1, b-aRT
1, a27 b
The mean free path of gas A, with molecular diameter equal to 4 Å, contained in a vessel, at a pressure of 10–6 torr, is 6990 cm. The vessel is evacuated and then filled with gas B, with molecular diameter, equal to 2 Å, at a pressure of 10–3 torr, the temperature remaining the same. The mean free path of gas B will be
() 28 cm
() 280 cm
() 7 cm
() 14 cm
Which of the following curves does not represent Boyle's Law
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