Equation of State of a Perfect Gas NEET Questions

Physics - Kinetic Theory of Gases

Equation of State of a Perfect Gas MCQ Questions


13.
The Avogadro number NA = 6.02×10²³ mol⁻¹. The value of kB (Boltzmann constant) given R = 8.314 J mol⁻¹ K⁻¹ is approximately:
A.
1.38×10⁻²⁰ J K⁻¹
B.
1.38×10⁻²³ J K⁻¹
C.
6.02×10²³ J K⁻¹
D.
8.314×10⁻²³ J K⁻¹
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ANSWER :
B. 1.38×10⁻²³ J K⁻¹
14.
For a given mass of ideal gas at constant temperature T, the perfect gas equation PV = μRT reduces to:
A.
PV/T = constant
B.
V proportional to T (Charles' Law)
C.
PV = constant (Boyle's Law): P inversely proportional to V
D.
P proportional to T (Gay-Lussac's Law)
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ANSWER :
C. PV = constant (Boyle's Law): P inversely proportional to V
15.
For a fixed mass and pressure of ideal gas, the perfect gas equation PV = μRT reduces to:
A.
PV = constant
B.
V = constant
C.
V ∝ T (Charles' Law): volume proportional to absolute temperature
D.
P/T = constant
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ANSWER :
C. V ∝ T (Charles' Law): volume proportional to absolute temperature
16.
Dalton's law of partial pressures states that for a mixture of non-interacting ideal gases:
A.
Total pressure equals the partial pressure of the heaviest gas
B.
Total pressure equals the sum of partial pressures: P = P₁ + P₂ + P₃ + ...
C.
All gases exert the same partial pressure
D.
Total pressure equals the product of partial pressures
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ANSWER :
B. Total pressure equals the sum of partial pressures: P = P₁ + P₂ + P₃ + ...
17.
The partial pressure of a gas in a mixture is defined as:
A.
The pressure that gas would exert at the same conditions of volume and temperature if no other gases were present
B.
The pressure measured at the bottom of the vessel
C.
The average pressure divided by number of gas components
D.
The pressure proportional to the mass fraction of the gas
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ANSWER :
A. The pressure that gas would exert at the same conditions of volume and temperature if no other gases were present
18.
A vessel contains two non-reactive gases: neon (monatomic) and oxygen (diatomic) with partial pressure ratio P_Ne : P_O₂ = 3:2. The ratio of number of molecules N_Ne : N_O₂ is: (NCERT Example 12.4)
A.
6:5
B.
5:6
C.
2:3
D.
3:2 (same as pressure ratio)
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ANSWER :
D. 3:2 (same as pressure ratio)