Equation of State of a Perfect Gas NEET Questions

Physics - Kinetic Theory of Gases

Equation of State of a Perfect Gas MCQ Questions


7.
An ideal gas is defined in NCERT as:
A.
Any monoatomic gas
B.
Any gas at room temperature
C.
A gas that satisfies PV = μRT exactly at ALL pressures and temperatures
D.
A gas with no molecular mass
😑 View Answer Rough Work Error
ANSWER :
C. A gas that satisfies PV = μRT exactly at ALL pressures and temperatures
8.
The number density n (molecules per unit volume) is defined as n = N/V. Using PV = kBNT, the pressure in terms of n is:
A.
P = kBnT
B.
P = kBNT
C.
P = kBn/T
D.
P = n/kBT
😑 View Answer Rough Work Error
ANSWER :
A. P = kBnT
9.
An alternative form of the ideal gas equation connecting pressure P, density ρ, molar mass M₀ and temperature T is: (NCERT Eq 12.5)
A.
P = ρRTM₀
B.
P = ρM₀/(RT)
C.
P = ρRT
D.
P = ρRT/M₀
😑 View Answer Rough Work Error
ANSWER :
D. P = ρRT/M₀
10.
The number of moles μ in the perfect gas equation is related to mass m and molar mass M₀ by:
A.
μ = m × M₀
B.
μ = m/M₀ = N/NA (mass divided by molar mass = number of molecules divided by Avogadro number)
C.
μ = mM₀NA
D.
μ = M₀/m
😑 View Answer Rough Work Error
ANSWER :
B. μ = m/M₀ = N/NA (mass divided by molar mass = number of molecules divided by Avogadro number)
11.
At standard temperature (273 K) and pressure (1 atm = 1.013×10⁵ Pa), 1 mole of any ideal gas occupies:
A.
1 litre
B.
11.2 litres
C.
22.4 litres — the molar volume
D.
44.8 litres
😑 View Answer Rough Work Error
ANSWER :
C. 22.4 litres — the molar volume
12.
Avogadro's hypothesis states that equal volumes of all gases at equal temperature and pressure have the same number of molecules. This follows from the perfect gas equation because:
A.
All gases have the same molecular mass
B.
All gases are monatomic
C.
At same P, V, T: N = PV/(kBT) is the same for all gases, independent of the nature of the gas
D.
All gases have same density
😑 View Answer Rough Work Error
ANSWER :
C. At same P, V, T: N = PV/(kBT) is the same for all gases, independent of the nature of the gas