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Chapter 5: States of Matter

NCERT Solutions for CBSE Class 10 Chemistry — 99 solved questions with detailed explanations.

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Solved Questions

Q1. At STP, the volume occupied by 1 mole of an ideal gas is:

22.4 L
11.2 L
44.8 L
2.24 L

Difficulty: Easy · Topic: Ideal Gas

Solution

At STP (0°C, 1 atm), 1 mole of ideal gas occupies 22.4 L.

Q2. The compressibility factor Z for an ideal gas is:

0
1
Greater than 1
Less than 1

Difficulty: Easy · Topic: Compressibility

Solution

Z = PV/nRT. For ideal gas, PV = nRT, so Z = 1.

Q3. Boyle's law states PV = constant at constant:

volume
temperature
pressure
mass only

Difficulty: Easy · Topic: States of Matter

Solution

temperature.

Q4. Charles's law states V/T = constant at constant:

temperature
pressure
density
volume

Difficulty: Easy · Topic: States of Matter

Solution

pressure.

Q5. Gay-Lussac's law states P/T = constant at constant:

pressure
mass
temperature
volume

Difficulty: Easy · Topic: States of Matter

Solution

volume.

Q6. The ideal gas equation is:

PV = RT
P = nRT/V²
PV² = nRT
PV = nRT

Difficulty: Easy · Topic: States of Matter

Solution

PV = nRT.

Q7. Dalton's law of partial pressures states P_total =:

p₁ × p₂
Σ 1/p_i
p₁ - p₂
Σ p_i

Difficulty: Easy · Topic: States of Matter

Solution

Σ p_i.

Q8. Graham's law of diffusion: rate ∝:

√M
M
1/M
1/√M

Difficulty: Easy · Topic: States of Matter

Solution

1/√M.

Q9. The van der Waals constant 'a' is a measure of:

Volume of gas molecules
Intermolecular attractive forces
Compressibility
Kinetic energy

Difficulty: Easy-Medium · Topic: Real Gases

Solution

In (P + a/V²)(V - b) = RT, 'a' corrects for intermolecular attractions, 'b' for molecular volume.

Q10. Ideal gas: n=0.5mol, T=273K, P=1atm. Volume(L):

Difficulty: Easy-Medium · Topic: Gas Laws

Solution

V=nRT/P=0.5*0.0821*273/1=11.21 L.

Q11. Ideal gas: n=0.5mol, T=273K, P=2atm. Volume(L):

Difficulty: Easy-Medium · Topic: Gas Laws

Solution

V=nRT/P=0.5*0.0821*273/2=5.6 L.

Q12. Ideal gas: n=0.5mol, T=273K, P=5atm. Volume(L):

Difficulty: Easy-Medium · Topic: Gas Laws

Solution

V=nRT/P=0.5*0.0821*273/5=2.24 L.

Q13. Ideal gas: n=0.5mol, T=300K, P=1atm. Volume(L):

Difficulty: Easy-Medium · Topic: Gas Laws

Solution

V=nRT/P=0.5*0.0821*300/1=12.32 L.

Q14. Ideal gas: n=0.5mol, T=300K, P=2atm. Volume(L):

Difficulty: Easy-Medium · Topic: Gas Laws

Solution

V=nRT/P=0.5*0.0821*300/2=6.16 L.

Q15. Ideal gas: n=0.5mol, T=300K, P=5atm. Volume(L):

Difficulty: Easy-Medium · Topic: Gas Laws

Solution

V=nRT/P=0.5*0.0821*300/5=2.46 L.

Q16. Ideal gas: n=0.5mol, T=350K, P=1atm. Volume(L):

Difficulty: Easy-Medium · Topic: Gas Laws

Solution

V=nRT/P=0.5*0.0821*350/1=14.37 L.

Q17. Ideal gas: n=0.5mol, T=350K, P=2atm. Volume(L):

Difficulty: Easy-Medium · Topic: Gas Laws

Solution

V=nRT/P=0.5*0.0821*350/2=7.18 L.

Q18. Ideal gas: n=0.5mol, T=350K, P=5atm. Volume(L):

Difficulty: Easy-Medium · Topic: Gas Laws

Solution

V=nRT/P=0.5*0.0821*350/5=2.87 L.

Q19. Ideal gas: n=0.5mol, T=400K, P=1atm. Volume(L):

Difficulty: Easy-Medium · Topic: Gas Laws

Solution

V=nRT/P=0.5*0.0821*400/1=16.42 L.

Q20. Ideal gas: n=0.5mol, T=400K, P=2atm. Volume(L):

Difficulty: Easy-Medium · Topic: Gas Laws

Solution

V=nRT/P=0.5*0.0821*400/2=8.21 L.

Q21. Ideal gas: n=0.5mol, T=400K, P=5atm. Volume(L):

Difficulty: Easy-Medium · Topic: Gas Laws

Solution

V=nRT/P=0.5*0.0821*400/5=3.28 L.

Q22. Ideal gas: n=1mol, T=273K, P=1atm. Volume(L):

Difficulty: Easy-Medium · Topic: Gas Laws

Solution

V=nRT/P=1*0.0821*273/1=22.41 L.

Q23. Ideal gas: n=1mol, T=273K, P=2atm. Volume(L):

Difficulty: Easy-Medium · Topic: Gas Laws

Solution

V=nRT/P=1*0.0821*273/2=11.21 L.

Q24. Ideal gas: n=1mol, T=273K, P=5atm. Volume(L):

Difficulty: Easy-Medium · Topic: Gas Laws

Solution

V=nRT/P=1*0.0821*273/5=4.48 L.

Q25. Ideal gas: n=1mol, T=300K, P=1atm. Volume(L):

Difficulty: Easy-Medium · Topic: Gas Laws

Solution

V=nRT/P=1*0.0821*300/1=24.63 L.

Q26. Ideal gas: n=1mol, T=300K, P=2atm. Volume(L):

Difficulty: Easy-Medium · Topic: Gas Laws

Solution

V=nRT/P=1*0.0821*300/2=12.32 L.

Q27. Ideal gas: n=1mol, T=300K, P=5atm. Volume(L):

Difficulty: Easy-Medium · Topic: Gas Laws

Solution

V=nRT/P=1*0.0821*300/5=4.93 L.

Q28. Ideal gas: n=1mol, T=350K, P=1atm. Volume(L):

Difficulty: Easy-Medium · Topic: Gas Laws

Solution

V=nRT/P=1*0.0821*350/1=28.74 L.

Q29. Ideal gas: n=1mol, T=350K, P=2atm. Volume(L):

Difficulty: Easy-Medium · Topic: Gas Laws

Solution

V=nRT/P=1*0.0821*350/2=14.37 L.

Q30. Ideal gas: n=1mol, T=350K, P=5atm. Volume(L):

Difficulty: Easy-Medium · Topic: Gas Laws

Solution

V=nRT/P=1*0.0821*350/5=5.75 L.

Q31. Ideal gas: n=1mol, T=400K, P=1atm. Volume(L):

Difficulty: Easy-Medium · Topic: Gas Laws

Solution

V=nRT/P=1*0.0821*400/1=32.84 L.

Q32. Ideal gas: n=1mol, T=400K, P=2atm. Volume(L):

Difficulty: Easy-Medium · Topic: Gas Laws

Solution

V=nRT/P=1*0.0821*400/2=16.42 L.

Q33. Ideal gas: n=1mol, T=400K, P=5atm. Volume(L):

Difficulty: Easy-Medium · Topic: Gas Laws

Solution

V=nRT/P=1*0.0821*400/5=6.57 L.

Q34. Ideal gas: n=2mol, T=273K, P=1atm. Volume(L):

Difficulty: Easy-Medium · Topic: Gas Laws

Solution

V=nRT/P=2*0.0821*273/1=44.83 L.

Q35. Ideal gas: n=2mol, T=273K, P=2atm. Volume(L):

Difficulty: Easy-Medium · Topic: Gas Laws

Solution

V=nRT/P=2*0.0821*273/2=22.41 L.

Q36. Ideal gas: n=2mol, T=273K, P=5atm. Volume(L):

Difficulty: Easy-Medium · Topic: Gas Laws

Solution

V=nRT/P=2*0.0821*273/5=8.97 L.

Q37. Ideal gas: n=2mol, T=300K, P=1atm. Volume(L):

Difficulty: Easy-Medium · Topic: Gas Laws

Solution

V=nRT/P=2*0.0821*300/1=49.26 L.

Q38. Ideal gas: n=2mol, T=300K, P=2atm. Volume(L):

Difficulty: Easy-Medium · Topic: Gas Laws

Solution

V=nRT/P=2*0.0821*300/2=24.63 L.

Q39. Ideal gas: n=2mol, T=300K, P=5atm. Volume(L):

Difficulty: Easy-Medium · Topic: Gas Laws

Solution

V=nRT/P=2*0.0821*300/5=9.85 L.

Q40. Ideal gas: n=2mol, T=350K, P=1atm. Volume(L):

Difficulty: Easy-Medium · Topic: Gas Laws

Solution

V=nRT/P=2*0.0821*350/1=57.47 L.

Q41. Ideal gas: n=2mol, T=350K, P=2atm. Volume(L):

Difficulty: Easy-Medium · Topic: Gas Laws

Solution

V=nRT/P=2*0.0821*350/2=28.74 L.

Q42. Ideal gas: n=2mol, T=350K, P=5atm. Volume(L):

Difficulty: Easy-Medium · Topic: Gas Laws

Solution

V=nRT/P=2*0.0821*350/5=11.49 L.

Q43. Ideal gas: n=2mol, T=400K, P=1atm. Volume(L):

Difficulty: Easy-Medium · Topic: Gas Laws

Solution

V=nRT/P=2*0.0821*400/1=65.68 L.

Q44. Ideal gas: n=2mol, T=400K, P=2atm. Volume(L):

Difficulty: Easy-Medium · Topic: Gas Laws

Solution

V=nRT/P=2*0.0821*400/2=32.84 L.

Q45. Ideal gas: n=2mol, T=400K, P=5atm. Volume(L):

Difficulty: Easy-Medium · Topic: Gas Laws

Solution

V=nRT/P=2*0.0821*400/5=13.14 L.

Q46. Ideal gas: n=3mol, T=273K, P=1atm. Volume(L):

Difficulty: Easy-Medium · Topic: Gas Laws

Solution

V=nRT/P=3*0.0821*273/1=67.24 L.

Q47. Ideal gas: n=3mol, T=273K, P=2atm. Volume(L):

Difficulty: Easy-Medium · Topic: Gas Laws

Solution

V=nRT/P=3*0.0821*273/2=33.62 L.

Q48. Ideal gas: n=3mol, T=273K, P=5atm. Volume(L):

Difficulty: Easy-Medium · Topic: Gas Laws

Solution

V=nRT/P=3*0.0821*273/5=13.45 L.

Q49. Ideal gas: n=3mol, T=300K, P=1atm. Volume(L):

Difficulty: Easy-Medium · Topic: Gas Laws

Solution

V=nRT/P=3*0.0821*300/1=73.89 L.

Q50. Ideal gas: n=3mol, T=300K, P=2atm. Volume(L):

Difficulty: Easy-Medium · Topic: Gas Laws

Solution

V=nRT/P=3*0.0821*300/2=36.95 L.

Q51. Ideal gas: n=3mol, T=300K, P=5atm. Volume(L):

Difficulty: Easy-Medium · Topic: Gas Laws

Solution

V=nRT/P=3*0.0821*300/5=14.78 L.

Q52. Ideal gas: n=3mol, T=350K, P=1atm. Volume(L):

Difficulty: Easy-Medium · Topic: Gas Laws

Solution

V=nRT/P=3*0.0821*350/1=86.21 L.

Q53. Ideal gas: n=3mol, T=350K, P=2atm. Volume(L):

Difficulty: Easy-Medium · Topic: Gas Laws

Solution

V=nRT/P=3*0.0821*350/2=43.1 L.

Q54. Ideal gas: n=3mol, T=350K, P=5atm. Volume(L):

Difficulty: Easy-Medium · Topic: Gas Laws

Solution

V=nRT/P=3*0.0821*350/5=17.24 L.

Q55. Ideal gas: n=3mol, T=400K, P=1atm. Volume(L):

Difficulty: Easy-Medium · Topic: Gas Laws

Solution

V=nRT/P=3*0.0821*400/1=98.52 L.

Q56. Ideal gas: n=3mol, T=400K, P=2atm. Volume(L):

Difficulty: Easy-Medium · Topic: Gas Laws

Solution

V=nRT/P=3*0.0821*400/2=49.26 L.

Q57. Ideal gas: n=3mol, T=400K, P=5atm. Volume(L):

Difficulty: Easy-Medium · Topic: Gas Laws

Solution

V=nRT/P=3*0.0821*400/5=19.7 L.

Q58. Ideal gas: n=5mol, T=273K, P=1atm. Volume(L):

Difficulty: Easy-Medium · Topic: Gas Laws

Solution

V=nRT/P=5*0.0821*273/1=112.07 L.

Q59. Ideal gas: n=5mol, T=273K, P=2atm. Volume(L):

Difficulty: Easy-Medium · Topic: Gas Laws

Solution

V=nRT/P=5*0.0821*273/2=56.03 L.

Q60. Ideal gas: n=5mol, T=273K, P=5atm. Volume(L):

Difficulty: Easy-Medium · Topic: Gas Laws

Solution

V=nRT/P=5*0.0821*273/5=22.41 L.

Q61. Ideal gas: n=5mol, T=300K, P=1atm. Volume(L):

Difficulty: Easy-Medium · Topic: Gas Laws

Solution

V=nRT/P=5*0.0821*300/1=123.15 L.

Q62. Ideal gas: n=5mol, T=300K, P=2atm. Volume(L):

Difficulty: Easy-Medium · Topic: Gas Laws

Solution

V=nRT/P=5*0.0821*300/2=61.58 L.

Q63. Ideal gas: n=5mol, T=300K, P=5atm. Volume(L):

Difficulty: Easy-Medium · Topic: Gas Laws

Solution

V=nRT/P=5*0.0821*300/5=24.63 L.

Q64. Ideal gas: n=5mol, T=350K, P=1atm. Volume(L):

Difficulty: Easy-Medium · Topic: Gas Laws

Solution

V=nRT/P=5*0.0821*350/1=143.68 L.

Q65. Ideal gas: n=5mol, T=350K, P=2atm. Volume(L):

Difficulty: Easy-Medium · Topic: Gas Laws

Solution

V=nRT/P=5*0.0821*350/2=71.84 L.

Q66. Ideal gas: n=5mol, T=350K, P=5atm. Volume(L):

Difficulty: Easy-Medium · Topic: Gas Laws

Solution

V=nRT/P=5*0.0821*350/5=28.74 L.

Q67. Ideal gas: n=5mol, T=400K, P=1atm. Volume(L):

Difficulty: Easy-Medium · Topic: Gas Laws

Solution

V=nRT/P=5*0.0821*400/1=164.2 L.

Q68. Ideal gas: n=5mol, T=400K, P=2atm. Volume(L):

Difficulty: Easy-Medium · Topic: Gas Laws

Solution

V=nRT/P=5*0.0821*400/2=82.1 L.

Q69. Ideal gas: n=5mol, T=400K, P=5atm. Volume(L):

Difficulty: Easy-Medium · Topic: Gas Laws

Solution

V=nRT/P=5*0.0821*400/5=32.84 L.

Q70. Ideal gas: n=0.5mol, T=273K, P=1atm. V(L)=

Difficulty: Easy-Medium · Topic: Gas Laws

Solution

V=nRT/P=0.5*0.0821*273=11.21 L.

Q71. Ideal gas: n=0.5mol, T=300K, P=1atm. V(L)=

Difficulty: Easy-Medium · Topic: Gas Laws

Solution

V=nRT/P=0.5*0.0821*300=12.32 L.

Q72. Ideal gas: n=0.5mol, T=373K, P=1atm. V(L)=

Difficulty: Easy-Medium · Topic: Gas Laws

Solution

V=nRT/P=0.5*0.0821*373=15.31 L.

Q73. Ideal gas: n=0.5mol, T=400K, P=1atm. V(L)=

Difficulty: Easy-Medium · Topic: Gas Laws

Solution

V=nRT/P=0.5*0.0821*400=16.42 L.

Q74. Ideal gas: n=0.5mol, T=500K, P=1atm. V(L)=

Difficulty: Easy-Medium · Topic: Gas Laws

Solution

V=nRT/P=0.5*0.0821*500=20.53 L.

Q75. Ideal gas: n=1mol, T=273K, P=1atm. V(L)=

Difficulty: Easy-Medium · Topic: Gas Laws

Solution

V=nRT/P=1*0.0821*273=22.41 L.

Q76. Ideal gas: n=1mol, T=300K, P=1atm. V(L)=

Difficulty: Easy-Medium · Topic: Gas Laws

Solution

V=nRT/P=1*0.0821*300=24.63 L.

Q77. Ideal gas: n=1mol, T=373K, P=1atm. V(L)=

Difficulty: Easy-Medium · Topic: Gas Laws

Solution

V=nRT/P=1*0.0821*373=30.62 L.

Q78. Ideal gas: n=1mol, T=400K, P=1atm. V(L)=

Difficulty: Easy-Medium · Topic: Gas Laws

Solution

V=nRT/P=1*0.0821*400=32.84 L.

Q79. Ideal gas: n=1mol, T=500K, P=1atm. V(L)=

Difficulty: Easy-Medium · Topic: Gas Laws

Solution

V=nRT/P=1*0.0821*500=41.05 L.

Q80. Ideal gas: n=2mol, T=273K, P=1atm. V(L)=

Difficulty: Easy-Medium · Topic: Gas Laws

Solution

V=nRT/P=2*0.0821*273=44.83 L.

Q81. Ideal gas: n=2mol, T=300K, P=1atm. V(L)=

Difficulty: Easy-Medium · Topic: Gas Laws

Solution

V=nRT/P=2*0.0821*300=49.26 L.

Q82. Ideal gas: n=2mol, T=373K, P=1atm. V(L)=

Difficulty: Easy-Medium · Topic: Gas Laws

Solution

V=nRT/P=2*0.0821*373=61.25 L.

Q83. Ideal gas: n=2mol, T=400K, P=1atm. V(L)=

Difficulty: Easy-Medium · Topic: Gas Laws

Solution

V=nRT/P=2*0.0821*400=65.68 L.

Q84. Ideal gas: n=2mol, T=500K, P=1atm. V(L)=

Difficulty: Easy-Medium · Topic: Gas Laws

Solution

V=nRT/P=2*0.0821*500=82.1 L.

Q85. Ideal gas: n=3mol, T=273K, P=1atm. V(L)=

Difficulty: Easy-Medium · Topic: Gas Laws

Solution

V=nRT/P=3*0.0821*273=67.24 L.

Q86. Ideal gas: n=3mol, T=300K, P=1atm. V(L)=

Difficulty: Easy-Medium · Topic: Gas Laws

Solution

V=nRT/P=3*0.0821*300=73.89 L.

Q87. Ideal gas: n=3mol, T=373K, P=1atm. V(L)=

Difficulty: Easy-Medium · Topic: Gas Laws

Solution

V=nRT/P=3*0.0821*373=91.87 L.

Q88. Ideal gas: n=3mol, T=400K, P=1atm. V(L)=

Difficulty: Easy-Medium · Topic: Gas Laws

Solution

V=nRT/P=3*0.0821*400=98.52 L.

Q89. Ideal gas: n=3mol, T=500K, P=1atm. V(L)=

Difficulty: Easy-Medium · Topic: Gas Laws

Solution

V=nRT/P=3*0.0821*500=123.15 L.

Q90. Ideal gas: n=5mol, T=273K, P=1atm. V(L)=

Difficulty: Easy-Medium · Topic: Gas Laws

Solution

V=nRT/P=5*0.0821*273=112.07 L.

Q91. Ideal gas: n=5mol, T=300K, P=1atm. V(L)=

Difficulty: Easy-Medium · Topic: Gas Laws

Solution

V=nRT/P=5*0.0821*300=123.15 L.

Q92. Ideal gas: n=5mol, T=373K, P=1atm. V(L)=

Difficulty: Easy-Medium · Topic: Gas Laws

Solution

V=nRT/P=5*0.0821*373=153.12 L.

Q93. Ideal gas: n=5mol, T=400K, P=1atm. V(L)=

Difficulty: Easy-Medium · Topic: Gas Laws

Solution

V=nRT/P=5*0.0821*400=164.2 L.

Q94. Ideal gas: n=5mol, T=500K, P=1atm. V(L)=

Difficulty: Easy-Medium · Topic: Gas Laws

Solution

V=nRT/P=5*0.0821*500=205.25 L.

Q95. Ideal gas: n=10mol, T=273K, P=1atm. V(L)=

Difficulty: Easy-Medium · Topic: Gas Laws

Solution

V=nRT/P=10*0.0821*273=224.13 L.

Q96. Ideal gas: n=10mol, T=300K, P=1atm. V(L)=

Difficulty: Easy-Medium · Topic: Gas Laws

Solution

V=nRT/P=10*0.0821*300=246.3 L.

Q97. Ideal gas: n=10mol, T=373K, P=1atm. V(L)=

Difficulty: Easy-Medium · Topic: Gas Laws

Solution

V=nRT/P=10*0.0821*373=306.23 L.

Q98. Ideal gas: n=10mol, T=400K, P=1atm. V(L)=

Difficulty: Easy-Medium · Topic: Gas Laws

Solution

V=nRT/P=10*0.0821*400=328.4 L.

Q99. Ideal gas: n=10mol, T=500K, P=1atm. V(L)=

Difficulty: Easy-Medium · Topic: Gas Laws

Solution

V=nRT/P=10*0.0821*500=410.5 L.

Other Chapters in Chemistry

Ch 1: Some Basic Concepts Ch 2: Structure of Atom Ch 3: Classification of Elements Ch 4: Chemical Bonding Ch 6: Thermodynamics Ch 7: Equilibrium Ch 8: Redox Reactions Ch 9: Hydrogen Ch 10: s-Block Elements Ch 11: p-Block Elements Ch 12: Organic Chemistry Ch 13: Hydrocarbons Ch 14: Environmental Chemistry

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