Title States of Matter - 02.pdf ✅

1 JEE ADVANCED 2024 States of Matter Single Correct (1 – 7) 1. 0.44 g dry ice is placed in an evacuated chamber of 5 litre at 27°C. The pressure inside the vessel when whole dry ice has been evaporated to gaseous state is: (1) 0.49 atm (2) 0.049 atm (3) 4.9× 10–3 atm (4) 4.9 atm 2. An oxide of nitrogen has density 1.33 g/ litre at 764 mm Hg and 150°C. The oxide of nitrogen is: (1) N2O5 (2) NO2 (3) N2O (4) NO 3. If Pg and Pv are partial pressure of H2O and saturated vapour pressure of H2O respectively, than % relative humidity is given by: (1) 100 v g P P (2) 100 g v P P (3) 100   P P g v P (4) 100   g v g P P P 4. A real gas obeying P(V-b)=RT has been represented by an isochore curve. The slope of isochore will be : (1) negative (2) zero (3) R/(V-b) (4) R/P 5. The correct order of heat capacities of the following gases is : (1) NH3 > CO2 = O2 = N2 > Ar (2) NH3 > CO2 > O2 = N2 > Ar (3) NH3 > CO2 > O2 > N2 >Ar (4) NH3 = CO2 > O2 > N2 > Ar 6. The root mean square speed of an ideal gas at constant pressure varies with density d as: (1) d 2 (2) d (3) d (4) 1/ d 7. Which of the following volume (V) vs. temperature (T) plots represents the behaviour of one mole of an ideal gas at one atmospheric pressure : (1) (2) (3) (4) One or more than one correct 8. A mixture of SO2 and O2 in the molar ratio 16:1 is diffused through a pin hole for successive effusions three times to give a molar ratio 1:1 of diffused mixture. Which one are correct if diffusion is made at same P and T in each operation? (1) Eight operations are needed to get 1:1 molar ratio (2) Rate of diffusion for SO2 : O2 after 8 operations is 0.707 (3) Six operations are needed to get 2:1 molar ratio for SO2 and O2 in diffusion mixture (4) Rate of diffusion for SO2 and O2 after 6 operations is 2.41 DPP - 2
2 9. A graph plotted between log V and log T for 2 mole of gas at constant pressure of 0.0821 atm.V and T are in litre and K respectively. Which of the following statements are correct? (1) The curve is straight line with slope -1 (2) The curve is straight line with slope +1 (3) The intercept on Y-axis is equal to 2 (4) The intercept on Y-axis is equal to 0.3010 10. A gas obeys P(V-b)=RT. Which of the following are correct about this gas? (1) Isochoric curves have slope =R/(V-b) (2) Isobaric curves have slope R/P and intercept b (3) For the gas compressibility factor =1+Pb/RT (4) The attraction forces are overcome by repulsive forces Comprehension – 1 An open glass bulb containing air was heated from 27°C to 227°C. Assuming ideal nature. 11. If 200 mL of air measured at 227°C was expelled during heating, the volume of bulb in mL must be : (1) 500 (2) 400 (e) 300 (4) 200 12. If 200 mL of air measured at 27°C was expelled during heating, the volume of bulb in mL must be: (1) 200 (2) 300 (3) 400 (4) 500 Integer Type Questions – Single Digit (0–9) 13. A cylinder containing 5.0 litre O2 at 25°C was leaking. When the balloon leakage was detected and stopped, there was a change in the pressure of the gas from 3.0 atm to 2.235 atm. The massing of O2 leaked out is 14. By how many times the absolute temperature of a gas would increase when ums of a gas in a container of fixed volume is increased from 5 × 104 cm sec–1 to 10 × 104 cm sec–1 ? 15. The isothermal compressibility factor ' α ' for an ideal gas at 0.25 atm pressure is ..... 16. The mixture of one mole of monoatomic gas and one mole diatomic gas has molar specific heat at constant volume (in cal) equal to .... 17. At 400 K, the root mean square speed of a gas (molar mass = 40 ) is equal to the most probable speed of gas y is 18. To an evacuated vessel with movable piston under external pressure of 1 atm. ,0.1 mol of He and 1.0 mol of an unknown compound (vapour pressure 0.68 atm . at 0 ∘C ) are introduced. Considering the ideal gas behaviour, the total volume (in litre) of the gases at 0 ∘C is close to Matrix – Match Type Questions 19. Match the description in column I with graph in column II for n moles of an ideal gas at constant temperature. Colum (1) Column II (A) vs. P P V (P) (B) vs. P V V (Q) (C) 2 1 vs. P V P (R) (D) vs. log P P V (S) (1) A→S; B→R; C→Q; D ̇→P (2) A→P; B→Q; C→R; D ̇→P (3) A→P; B→R; C→P; D ̇→Q (4) A→S; B→R; C→Q; D ̇→P
3 20. Van der Waals constant a and b for a gas are 4.0 atm L 2/mol2 and 0.05 L/mol, respectively. If 80 g of the gas (molecular mass = 16 ) is placed in a 10 L vessel at 300 K, then Column I Column II (A) Pressure correction (in atm) (P) 0.0625 (B) Ideal volume of gas (in L) (Q) 1 (C) Actual volume occupied by (R) 9.75 molecules (in L) (D) Volume correction (in L) (S) 0.25 (1) A→Q; B→R; C→P; D→S (2) A→S; B→R; C→Q; D→P (3) A→S; B→R; C→P; D→Q (4) A→Q; B→R; C→S; D→P
4 Answer Key 1 . ( 2 ) 2 . ( 2 ) 3 . ( 2 ) 4 . ( 3 ) 5 . ( 2 ) 6 . ( 4 ) 7 . ( 3 ) 8 . (1, 2, 3 ) 9 . (2, 4 ) 10 . (1, 2, 3, 4 ) 11 . ( 3 ) 12 . ( 4 ) 13 . ( 5 ) 14 . ( 4 ) 15 . ( 4 ) 16 . ( 4 ) 17 . ( 4 ) 18 . ( 7 ) 19 . ( 1 ) 20 . ( 1 )