Equation of State of a Perfect Gas NEET Questions

Physics - Kinetic Theory of Gases

Equation of State of a Perfect Gas MCQ Questions


1.
The perfect gas equation (ideal gas equation of state) is:
A.
PV = NkBT only
B.
PV = μRT only
C.
PV = μRT = kBNT, where μ = number of moles, N = number of molecules, R = universal gas constant, kB = Boltzmann constant
D.
PV = μkBT
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ANSWER :
C. PV = μRT = kBNT, where μ = number of moles, N = number of molecules, R = universal gas constant, kB = Boltzmann constant
2.
The value of the universal gas constant R in SI units is:
A.
R = 1.38 × 10⁻²³ J K⁻¹
B.
R = 6.02 × 10²³ mol⁻¹
C.
R = 9.8 J mol⁻¹ K⁻¹
D.
R = 8.314 J mol⁻¹ K⁻¹
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ANSWER :
D. R = 8.314 J mol⁻¹ K⁻¹
3.
The Boltzmann constant kB is related to the universal gas constant R and Avogadro number NA by:
A.
kB = R / NA
B.
kB = NA / R
C.
kB = R × NA
D.
kB = R + NA
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ANSWER :
A. kB = R / NA
4.
In the perfect gas equation PV = μRT, the temperature T must be expressed in:
A.
Celsius (°C)
B.
Kelvin (K) — absolute temperature scale
C.
Fahrenheit (°F)
D.
Any scale, since R is adjusted accordingly
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ANSWER :
B. Kelvin (K) — absolute temperature scale
5.
A gas has μ moles in volume V at absolute temperature T. Using PV = μRT, what is the pressure P?
A.
P = μRTV
B.
P = μV/(RT)
C.
P = μRT × V
D.
P = μRT/V
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ANSWER :
D. P = μRT/V
6.
According to NCERT, the perfect gas equation PV = μRT satisfies all gases only:
A.
Exactly for diatomic gases only
B.
Approximately, more so at LOW pressures and HIGH temperatures
C.
At all pressures and temperatures equally
D.
Only for monatomic gases
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ANSWER :
B. Approximately, more so at LOW pressures and HIGH temperatures