Tiêu đề 1B.GASEOUS STATE FINAL DVK SR B ( 32 - 58 ).pdf ✅

NISHITH Multimedia India (Pvt.) Ltd., 3 2 JEE MAINS - CW - VOL - I JEE ADVANCED - VOL - I GASEOUS STATE NISHITH Multimedia India (Pvt.) Ltd., LEVEL- VI SINGLE ANSWER QUESTIONS 1. Three gases of densities A(0.82), B(0.25), C(0.51) are enclosed in a vessel of 4L capacity. Pick up the correct statement : I . Gas A will tend to lie at the bottom II. The number of atoms of various gases A, B, C are same III. The gases will diffuse to form homogeneous mixture. IV. The average kinetic energy of each gas is same under identical temperature. A) I, IV B) only III C) III, IV D) II, III 2. At 0°C, the density of a certain gaseous oxide at 2 bar is same as that of dinitrogen at 5 bar. What is the molecular mass of the oxide ? A) 70 g/mol B) 35 g/mol C) 140 g/mol D) 280 g/mol 3. When in ideal gas undergoes unrestricted expansion ? A) cooling occurs because the molecule lie above inversion temp B) no cooling occurs as no attractive interaction exist among molecules C) cooling occurs as molecules collide with each other with loss of energy D) cooling does not occur as these to do work equal to loss in kinetic energy 4. The pressure exerted by 12gm of an ideal gas at temperature toC in a vessel of volume V is 1atm. When the temperature is increased by 10oC at the same volume, the pressure increases by 10%. If molecular weight of the gas is 120. The temperature t oC and volume (V) are A) t = -273oC, V = 0.082L B) t = -173oC, V = 0.82L C) t = 0oC, V = 22.4L D) t = -27oC, V = 22.4L 5. A gas is enclosed in a vessel of volume 1000 ml at a pressure of 72.6 cm of Hg .it is being evacuated with the help of a piston pump, which expels 10% gas in each stroke.What be the pressure after the second stroke? A) 50cm B) 56.6cm C) 58.8cm D) 66.6cm 6. An unspecified quantity of an ideal gas has a volume of 30 litres at 20°C, the gas was compressed until the pressure has doubled at constant temperature and then, the temperature is raised to 100°C, while the pressure is kept constant what is the final volume of the gas? A) 25 lit B) 30 lit C) 19 lit D) 40 lit 7. The circulation of blood in human body supplies O2 and releases CO2 . The concentration of O2 and CO2 is variable but on the average, 100 mL blood contains 0.02 g of O2 and 0.08 g of CO2 . The volume of O2 and CO2 at 1 atm and at body temperature of 37°C, assuming 10 litre blood in human body, would be A) 2 litre, 4 litre B) 1.5 litre, 4.5 litre C) 1.59 litre, 4.627 litre D) 3.82 litre, 4.62 litre 8. The Vande Waals’ constant ‘b’ of a gas is 4.42 centilitre\mole. How near can the centres of the two molecules approach each other? A) 127.2 pm B) 427.2 pm C)327.2 pm D) 627.2 pm 9. Proportion of a lighter isotope in a gaseous mixture containing both heavier and lighter isotopes is increased by successive effusion of the gas mixture. A sample of neon gas has 22Ne = 90%and 20Ne = 10% by moles. In how many stages of successive effusion, 25% enrichment of 20Ne would be achieved? A) 11 B) 17 C) 23 D) 13 10.. 1 litre flask contains nitrogen along with a drop or two of water at 40oC, the total pressure being 760 Torr. If all the contents are transferred to another flask of 0.5L at the same temperature. The total pressure of nitrogen setup in the second flask will be (aqueous tension at 40o C = 55 torr) A) 1410 Torr B) 1465 Torr C) 1520 Torr D) 1540 Torr 11. The number of collisions of gas molecules on the wall of the container per unit area per second is 4 nc where n is the number of molecules per unit volume and c is the mean speed.Calculate 4 nc at STP. A) 27 2 8.077 10 /   molecules m S B) 23 2 6.023 10 /   molecules m S C) 27 2 6.625 10 /   molecules m S D) 28 2 3.23 10 /   molecules m S
NISHITH Multimedia India (Pvt.) Ltd., 3 3 JEE MAINS - CW - VOL - I JEE ADVANCED - VOL - I GASEOUS STATE NISHITH Multimedia India (Pvt.) Ltd., 12. When you look directly up at the sky, you are actually looking through a very tall, transparent column of air that extends from the surface of the earth to thousands of kilometres into space. If the air in this column were liquified, how tall would it be? The density of liquid air is 0.89gm/L. A) 1200cm B) 1000cm C) 800cm D) 600cm 13. There are three closed containers in which equal amount of the gas are filled If the containers are placed at the same temperatures then find the incorrect option : A) Pressure of the gas is minimum in (III) container B) Pressure of the gas is equal in (I) & (II) container C) Pressure of the gas is maximum in (I) D) The ratio of pressure in II and III container is 3 : 4 14. The compressibility factor for definite amount of vanderwaal’s gas at 0oC and 100 atm is found to be 0.5. Assuming the volume of gas molecules negligible, the vander Waal’s constant ‘a’ for a gas is A) 1.256 L2 mole-2 atm B) 0.256 L2 mole-2 atm C) 2.256 L2 mole-2 atm D) 0.0256 L2 mole-2 atm 15. The Vanderwaal’s equation of law of corresponding states of one mole of gas is( here  = P/Pc , = V/Vc ,  = T/Tc ) A)   2 3    3 1 8           B)   3    3 1 8           C)   3    3 1 8R           D)   3    3 1 8R           16. A gas can be liquified most suitably at : A) T T and P P   c c B) T T and P P   c c C) T T and P P   c c D) T T and P P   c c 17. The term that is correct for the attractive forces present in a real gas in the vander Waals equation is A) nb B) 2 2 an V C) 2 2 an V  D) nb 18. For the non-zero volume of the molecules, real gas equation for ‘n’ moles of the gas will be A) 2 2 an P V RT V         B) PV nRT nbP   C) P V nb nRT    D) Both (B) and (C) are true 19. For the non-zero value of the force of attraction between gas molecules, gas equation will be A) 2 n a PV nRT V   B) PV nRT nbP   C) PV nRT  D) nRT P V b  
NISHITH Multimedia India (Pvt.) Ltd., 3 4 JEE MAINS - CW - VOL - I JEE ADVANCED - VOL - I GASEOUS STATE NISHITH Multimedia India (Pvt.) Ltd., 20. The pressure exerted by 1 mole of CO2 at 273K is 34.98 atm. Assuming the volume occupied by CO2 molecules is negligible, the value of VanderWaal’s constant for attraction of CO2 gas will be. A)3.59 dm6 atm mole-2 B) 2.59 dm6 atm mole-2 C) 1.25 dm6 atm mole-2 D) 1.59 dm6 atm mole-2 21. A flask containing 250mg of air at 27oC is heated till 25% of air by mass is expelled from it. What is the final temperature of the flask A) 127K B) 127oC C) 254K D) 254oC 22. A quantity of hydrogen gas occupies a volume of 30.0 mL at a certain temperature and pressure. what volume would half of this mass of hydrogen occupy at that of the original gas? A) 405ml B) 40.5ml C) 375ml D) 440ml 23. Temperature at the foot of a mountain is 0 30 C and pressure is 760 mm,Whereas at the top of the mountain these are 0 0 C and 710mm. Compare the densities of the air at the foot and top of the mountain. A) 0.964:1 B) 1:0.964 C) 1:1 D) 1:1.928 24. Amixture of 50 mL of H2 and 50 mL of O2 is allowed to effuse through an effusiometer till the residential gas occupies 90 mL. What is the volume of effused H2 gas, A) 46ml B) 44ml C) 48ml D) 42ml 25. At 0 20 C ,two balloons of equal volume and porosity are filled to a pressure of 2 atm, one with 14 kg N2 and the other with 1 kg of H2 .The N2 balloon leaks to a pressure of 1/2 atm in 1 hour. How long will it takes for the H2 balloon to reach a pressure of 1/2 atm? A) 4 minutes B) 8 minutes C) 16 minutes D) 32 minutes 26. Calculate the pressure excerted by 23 10 gas particles each of mass 22 10 g  in a container of volume 3 1dm .The root mean square speed is 5 1 10 cm s A) 1 7 10 3 Pa   B) 1 3 10 3  Pa C) 3 3 10  Pa D) 1 7 10 3  Pa 27. What is the value of b (van der Waals constant) if the diameter of a molecule is 2.0 A? A)2.4 mL, 1 mol  B) 4.8 mL, 1 mol  C) 7.2 mL, 1 mol  D) 9.6 mL, 1 mol  28. Two flasks A and B have equal volume. A is maintained at 300 K and B at 600 K.While A contains H2 gas, B has an equal mass of CH4 gas .Assuming ideal behaviour for both the gases,which of the following statement is true about the velocities of molecules? A) The molecules in flasks A and B are moving with the same velocity. B) The molecules in flask A are moving two times faster than the molecules in flask B. C) The molecules in flask B are moving two times faster than the molecules in flask A. D) The molecules in flask A are moving four times faster than the molecules in flask B. 29. 1 mol of 2 SO occupies a volume of 350 mL. at 300 K and 50 atm pressure.What is the compressibility factor of the gas. A) 0.711 B) 7.11 C) 1.406 D) 14.06 30. Calculate the pressure exerted by 8.5 g of ammonia 3 ( ) NH contained in a 0.5 L vesel at 300 K. For ammonia , a = 4.0 atm 2 2 1 L mol b L mol , 0.036    A) 21.51atm B) 2.151atm C) 215.1atm D) 43.02atm 31. If a real gas following equation P V nb nRT    , at low pressure then find the intercept and slope of graph between / d v s P p are respectively. a)   2 , MR M RT T b b)   2 , M Mb RT RT  c)   2 , Mb M RT RT  d)   2 , RT b M M RT 
NISHITH Multimedia India (Pvt.) Ltd., 3 5 JEE MAINS - CW - VOL - I JEE ADVANCED - VOL - I GASEOUS STATE NISHITH Multimedia India (Pvt.) Ltd., 32. A mixture of NH g 3   and N H g 2 4   is placed in a sealed container at 300K. The total pressure is 0.5 atm. The con tainer is heated to 1200 K and both substances decompose completely according to the equations.       3 2 2 2 3 NH g N g H g         2 4 2 2 N H g N g H g   2 After decomposition is complete , the total pressure at 1200 K is found to be 4.5 atm. Find the mole% of N H2 4 in the original mixture A) 20 % B) 25% C) 50 % D) 75 % 33. If the Vanderwaal’s equation is expressed as 2 3 1 ... A B C PV RT V V V            . Where ‘V’is the molar volume and A,B,C are viral cofficients. Then A and B in terms of vanderwaal’s constants. a) 2 , a A b B b RT    b) , a A b B b RTV    c) 2 , b A B a RT   d) , RT a A b B a b    34 A manometer is attached to a flask contains with ammonia gas have no difference in mercury level initially as shown in diagram. After sparking into the flask, ammonia is partially dissociated as 2 3 NH g N g H g 3 2 2         . Now it has difference of 6 cm in mercury level in two columns, what is partial pressure of H g 2   at equilibrium? a) 9 cm Hg b) 18 cm Hg c) 27 cm Hg d) 36 cm Hg 35. The reduced volume and reduced tempera ture of a gas are 10 and 0.725 respectively. Calculate its pressure if critical pressure of gas is 50atm. a) 10atm b) 100atm c) 8.5atm d) 9.5atm 36. A gas at temperature T and pressure P is enclosed in a sphere of volume V. It is con nected to another sphere of volume 2 V by a tube and stopcock. The second sphere is initally evacuated and the stopcock is closed. If the stopcock is opened, the tem perature of the gas in the second sphere becomes T2 and the first sphere is mainteded T1 . Then the final pressure in the appartus is a) 2 2 1 2 2 PT T T b) 2 2 1 2 2 PT T T  c) 2 2 2 1 PT T T d) 2 2 1 2PT T T 37. What will happen to the volume of air bubble under water , where the tempera ture is 0 15 C and the pressure is 1.5 atm , if the bubble then rises to the surface where the temperature is 0 25 C and the pressure is 1 atm ? A) Its volume will become greater by a factor of 2.5 B) Its volume will become gretaer by a factor of 1.6 C) Its volume will become greater by a factor of 1.1 D) Its volume will become smaller by a factor of 0.70 38. An evacuated glass vessel weight 50g . When filed with liquid of density 1 0.47gmL and 50.5 g when filled with an ideal gas at 760 mm at 300 K . The molar mass of ideal gas is : ( R=0.0821 L atm 1 1 K mol   ) A) 61.575 B) 130.98 C) 123.75 D) 47.87