If a gas expands at a constant temperature
i. the pressure decreases
ii. the kinetic energy of the molecules remains the same
iii. the kinetic energy of the molecules decreases
iv. the number of molecules of the gas increase
i, ii
i, ii, iii
i, ii, iv
ii, iii
At what temperature the RMS velocity of gas shown at 50°c will be doubled?
626 K
1019°C
21 K
1019 K
The density of gas A is twice that of B and the molecular weight of A is half of that of B. The Ratio of partial pressures of PA and PB is
14
41
21
12
6.4 grams of a gas, at 0°C and 0.99 atm pressure occupies a volume of 2.241 L. The correct statement about this gas is-
[Molecular mass of gas A =64]
The gas is ideal
The gas is real with intermolecular attraction
The gas is real without intermolecular repulsion
The gas is real with intermolecular repulsion greater than intermolecular attraction
The density of a gas is 1.964 g dm-3 at 273 K and 76 cm Hg. The gas is-
CH4
C2H6
CO2
Xe
The compressibility factor of a gas is less than unity at STP. The correct statement among the following is -
Vm > 22.4 L
Vm < 22.4 L
Vm = 22.4 L
Vm = 44.8 L
Two gas bulbs A and B are connected by a tube having a stopcock. Bulb A has a volume of 100 mL and contains hydrogen. After opening the gas from bulb A to the evacuated bulb B, the pressure falls down by 40%. The volume (mL) of B must be
167
67
125
200
At 27°C, 500 mL of helium diffuses in 30 minutes. What is the time (in hours) taken for 1000 mL of SO2 to diffuse under same experimental conditions?
240
3
2
4
Containers A and B have same gases. The pressure, volume and temperature of A are all twice that of B, then the ratio of number of molecules of A and B are
1 : 2
2 :1
1 : 4
3:2
In Haber's process, 30 L of dihydrogen and 30 L of dinitrogen were taken for the reaction which yielded only 50% of the expected product. What is the composition of the gaseous mixture under afore-said conditions in the end?
20 L NH3, 25 L N2, 15 L H2
20 L NH3, 20 L N2, 20 L H2
10 L NH3, 25 L N2, 15 L H2
20 L NH3, 10 L N2, 30 L H2
If the rms velocity of a gas at 100 K is 104 cm sec-1, what is the temperature in °C at which the rms velocity will be 3×104 cm sec-1?
900
627
327
1217
A solution has a 1 : 4 mole ratio of pentane to hexane. The vapour pressures of the hydrocarbons at 20°C are 400 mm Hg for pentane and 120 mm hg for hexane. The mole fraction of pentane in the vapour phase would be
0.200
0.549
0.454
0.478
The temperature at which rate of diffusion of N2 would be 1.625 times the rate of diffusion of SO2 at 50°C is :
110 K
173 K
373 K
273 K
If Vrms of H2 at 300K is 1.9×103 m/s. What is the value of Vrms of O2 at 1200K?
1.9 ×103
3.8×103 m/s
0.475×103 m/s
0.95×103 m/s
The average velocity of ideal gas molecules at 27°C is 0.3 m/sec. The average velocity at 927°C will be
0.6 m/sec
0.3 m/sec
0.9 m/sec
3.0 m/sec
equal masses of methane and hydrogen are mixed in an empty container at 25°C. The fraction of the total pressure exerted by hydrogen is
1/2
8/9
1/9
16/17
A 2.24 L cylinder of oxygen at NTP is found to develop a leakage. When the leakage was plugged, the pressure dropped to 570 mm of Hg. The number of moles of gas that escaped will be-
0.050
0.025
0.075
0.01
Distribution of fraction of molecules with velocity is represented in the figure.
The velocity corresponding to point X is
2RTM
3RTM
8RTπM
none of the above
A ballon having weight 50 kg is filled with 685.2 kg of helium gas at 760 mm pressure and 25°C. What will be its pay load if it displaces 5108 kg of air?
4372.8 kg
4392.6 kg
4444.4 kg
3482.9 kg
For non-zero value of force of attraction between gas molecules for larger volume, gas equation will be
PV=nRT-n2Va
PV=nRT+nbP
P=nRTV-b
PV = nRT
Four rubber tubes are respectively filled with H2,He, N2 and O2. Which tube will be reinflated first?
H2 filled tube
N2 filled tube
He filled tube
O2 filled tube
A gas has the van der Waal constants, a =1.49 L2 atm mol-2 and b=0.04L mol-1. Its Boyle's temperature is nearly
50 °C
354°C
454 K
408 K
One litre of gas A at 2 atm pressure at 27°C and two litres of gas B at 3 atm pressure at 127°C are mixed in a 4 litre vessel. The temperature of the mixture is maintained at 327°C. What is the total pressure of the gaseous mixture?
3.93 atm
3.25 atm
4.25 atm
6.25 atm
The root mean square velocity of one mole of a monoatomic gas having molar mass M is urms.
The relation between the average kinetic energy (E) of the gas and urmsis
Urms=√(3E/2M)
Urms=√(2E/3M)
Urms=√(2E/M)
Urms=√(E/3M)
At 100°C and 1 atm, if the density of liquid water is 1.0 g cm-3 and that of water vapour is 0.0006 g cm-3, then the volume occupied by water molecules is 1 litre of steam at that temperature
6 CM3
60 CM3
0.6 CM3
0.06 CM3
The following statement(s) is (are) correct
(1) A plot of log KP versus 1/T is linear
(2) A plot of log (X) versus time is linear for a first-order reaction X→P'
(3) A plot of log P versus 1/T is linear at constant volume
(4) A plot of P versus 1/V is linear at a constant temperature.
1, 2
2, 4
2, 3
1, 4
The ratio of root mean square velocity to the average velocity of a gas molecule at a particular temperature is
(1) 1:086
(2) 2:1.086
(3) 1.086:1
(4) 1.086:2
An L.P.G. cylinder contains 15 kg of butane gas at 27°C and 10 atmospheric pressure, It was leaking and its pressure fell down to 8 atmospheric pressure after one day. The gas leaked in 5 days is
10 kg
3 kg
15 kg
12 kg
The partial pressure of oxygen in a flask containing 16 g O2 and 32 g SO2 is-
1/16 of total pressure
1/2 of total pressure
2/3 of total pressure
None of the above
The most probable speeds of the molecules of gas A at T1K and gas B at T2K are in the ratio 0.715:1. The same ratio for gas A at T2K and gas B T1K is 0.954. Find the ratio of molar masses MA:MB.
(1) 965
(2) 1.0666
(3) 1.987
(4) 1.466
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