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July 9th, 2016, 02:55 PM
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Join Date: Mar 2012
Re: Gaseous State IIT JEE

As you requires I am here giving you sample questions related to Gaseous State topic of Chemistry subject for IIT JEE exam.

Gaseous State topic related questions:

Q.1. The pressure exerted by 12 g of an ideal gas at temperature tº C in a vesselof volume V litre is one atm. When the temperature is decreased by 10º at the same volume, the pressure decreases by 10%. The temperature t is given by :

(A) 103 K

(B) 173 K

(C) 273 K

(D) 100 K.

Q.2. An iron cylinder contains helium at a pressure of 200 kPa at 300 K. The cylinder can withstand a pressure of 1000 kPa. If the room in which the cylinder is kept catches fire. Whether the cylinder will blow up before it melts or not, if the melting point of the cylinder is 1800 K at :

(A) after the cylinder melts

(B) before the cylinder melts

(C) at its melting point

(D) none of these.

Q.3. An LPG cylinder weighs 14.8 kg when empty. When full, it weighs 29.0 kg and shows a pressure of 2.5 atm. In the course of use at 27º C, the weight of full cylinder is reduced to 20.5 kg. If LPG is n-butane with normal boiling point 0º C. The final pressure inside the cylinder is given by :

(A) 1.2 atm

(B) 1.4 atm

(C) 1.0 atm

(D) 1.5 atm

Q.4. A spherical balloon of 21 cm diameter is to be filled up with hydrogen gas atNTP from a cylinder containing the gas at 20 atm at 27º C. The cylinder can hold 2.82 litre of water at NTP. The number of balloon that can be filled up is :

(A) 10

(B) 8

(C) 5

(D) 2.

Q.5. A balloon of diameter 20 m weighs 100 kg. It is filled with He at 1.0 atm and 27º C. Density of air is 1.2 kg m–1, R = 0.82 dm3 atm K–1mol–1. The pay-load of the balloon will be :

(A) 42467 kg

(B) 4246700 g

(C) 4246.7 kg

(D) 424670 g.

Q.6. An open vessel at 27º C is heated until 3/5th of the air in it is expelled. If the volume of the vessel is assumed to be constant, the temperature at which vessel was heated is :

(A) 477 K

(B) 477º C

(C) 750º C

(D) 750

Q.7. An open vessel at 27º C is heated until half of the air in it is expelled. If the volume of the vessel is assumed to be constant, the temperature at which vessel was heated is :

(A) 600 K

(B) 477º C

(C) 327º C

(D) 750 K.

Q.8. Two glass bulbs of equal volumes are connected by a narrow tube and filled with a gas at 0ºC and pressure of 76 cm of Hg. One of the bulb is then placed in a water bath maintained at 62º C. If the volume of the connecting tube is negligible, the new value of the pressure inside the bulbs is :

(A) 75 cm of Hg

(B) 80 cm of Hg

(C) 83.75 cm of Hg

(D) none of these.

Q.9.A 10 litre cylinder contains 0.4 g of helium, 1.6 g of oxygen and 1.4 g of nitrogen at 27º C. Assume ideal behavior of gases. Given R = 0.082 litre atom K–1mol–1. The partial pressure of helium gas in the cylinder is :

(A) 0.123 atm

(B) 0.132 atm

(C) 0.231 atm

(D) 0.246 atm.

Q.10. An empty glass vessel weighs 50 g and 148 g when filled with a liquid of density 0.98 g mL–1 and 50.5 g when filled with an ideal gas at 760 mm Hg 300 K. The molecular weight of the gas is :

(A) 124

(B) 122

(C) 123

(D) 125.

Q.11.A column of Hg of 10 cm in length is contained in the middle of a narrow 1 m long tube closed at both ends. Both the halves of the tube contains air at a pressure of 76 cm of Hg. The distance of the column of Hg displaced if the tube is held vertical is :

(A) 1 cm

(B) 2 cm

(C) 3 cm

(D) 4 cm.

Q.12. A thin tube of uniform cross-section sealed at both ends lies horizontally. The middle 5 cm contains Hg and the two equal ends contains air at the same pressure P. When the tube is held at an angle 60º with the vertical, the length of the air column above and below the mercury are 46 cm and 44.5 cm respectively. The system is kept at 30º C. The pressure P in cm of Hg is :

(A) 76 cm

(B) 75.4 cm

(C) 75 cm

(D) none of the above

Q.13. A vertical hollow cylinder of height 152 cm is fitted with movable piston of negligible mass and thickness. The lower half of the cylinder contains an ideal gas and the upper half is filled with mercury. The cylinder is initially at 300 K. When the temperature of the cylinder is raised half of the mercury comes out of the cylinder. Assuming the thermal expansion of mercury to be negligible, the temperature is :

(A) 300.5 K

(B) 333.5 K

(C) 336.5

(D) 337.5

Q.14.One mole of N2 at 0.8 atm takes 38 second to diffuse through a pinhole, whereas one mole of an unknown compound of xenon with fluorine at 1.6 atm takes 57 second to diffuse through the same hole. The molecular formula of the compound is :

(A) XeF

(B) XeF6

(C) Xe2F3

(D) XeF3.

Q.15. The compound of the equilibrium mixture (Cl2 ↔ 2Cl), which is attained at 1200º C, is determined by measuring the rate of effusion through a pin hole. It is observed that at 1.80 mm Hg pressure, the mixture effuses 1.16 times as fast as krypton effuses under the same conditions. Atomic weight of Kr being 84, the fraction of chlorine molecules dissociated into atoms is :

(A) 10.7 %

(B) 11.7 %

(C) 12.7 %

(D) 13.7 %.

Q.16.A mixture containing 1.12 litre of D2 and 2.24 litre of H2 at NTP is taken inside a bulb through a stop cock with a small opening. The second bulb is fully evacuated. The stop cock is opened for a certain time and then closed. The first bulb is now found to contain 0.10 g of D2. The % by weight of the gases D2 and H2 respectively in second bulb are :

(A) 40%, 60%

(B) 30%, 70%

(C) 41.67%, 58.33%

(D) none of the above

Q.17. At 27º C, H2 is leaked through a tiny hole into a vessel for 20 minutes. Another unknown gas at the same temperature and pressure as that of H2 is leaked through the same hole for 20 minutes. After the effusion of the gases, the mixture exerts a pressure of 6 atm. The H2 content of the mixture is 0.7 mole. If volume of container is 3 litre, the molecular weight of the unknown gas is :

(A) 510

(B) 1020

(C) 1010

(D) 920.

Q.18. A 4: 1 mixture of He and CH4 is contained in a vessel at 20 bar pressure.Due to a hole in the vessel, the gas mixture leaks out. The composition of mixture effusing out initially is :

(A) 1: 4

(B) 4: 1

(C) 1: 8

(D) 8: 1.

Q.19.The average speed at T1 K and the most probable speed at T2 K of CO2 gas is 9 × 104 cm sec–1. The value of T1 and T2 are:

(A) 1684.0 K, 2143.37 K

(B) 1684.37 K, 2143.0 K

(C) 2443.0 K, 1268 K

(D) none of these.

Q.20.The average velocity of gas molecules is 400 m/sec. Its rms velocity in

m/sec at the same temperature is:

(A) 430

(B) 432

(C) 434

(D) 436.

1.Which of the following is false about gases
The molecules possess random movement in all directions
Gases intermix freely without the help of external agency
They are highly compressible
They possess definite volume.


2.Two gases X and Y are at same temperature and pressure. The reduced temperature of X is below unity while that of Y is above unity. Thus,
X can be liquefied by compression but not Y
Y can be liquefied by compression but not X
both X and Y can be liquefied by compression
none of the statement is correct.


3.Liquefication of gases cannot be achieved by
cooling
compressing the gas at all temperatures
compressing the gas as well as cooling
compressing the gas below critical temperature.


4.A pressure of 0.101325 bar when expressed in atmospheres represents
0.01 atm
1 atm
0.1 atm
10 atm.


5.Which of the following statement is false?
The product PV for fixed amount of gas is independent of temperature.
Molecules of different gases have same KE at a given temperature.
The gas equation is not valid at high pressure and low temperature.
The gas constant per molecule is known as Boltzman constant.


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