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Derivation of Kinetic Gas Equation. We covered all the Derivation of Kinetic Gas Equation in this post for free so that you can practice well for the exam.
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mcq on Derivation of Kinetic Gas Equation for Students
What is the average kinetic energy of a monoatomic ideal gas Molecule at a certain temperature?
a) KT
b) 3KT/2
c) KT/2
d) -K/T
Option b – 3KT/2
The speed of gas molecules varies inversely with the
a) density
b) square root of density
c) cube of density
d) square of the density
Option b – square root of density
How does the specific Heat ratio of a gas vary with its atomicity?
a) remains unchanged
b) decreases
c) increases
d) directly proportional
Option b – decreases
The Boyle’s temperature for a gas in terms of van der Waals constants ‘a’ and ‘b’ is expressed as
a) a/Rb
b) 4a/5Rb
c) 2a/Rb
d) 3a/Rb
Option a – a/Rb
At what temperature does the average kinetic energy of gas molecules equal one electron volt?
a) 772 K
b) 473 K
c) 772°C
d) 373 K
Option a – 772 K
What is the relation between inversion temperature and Boyle’s temperature for a gas?
a) Tᵢ = 2TB
b) Tᵢ = TB
c) Tᵢ = 4TB
d) Tᵢ = 3TB
Option a – Tᵢ = 2TB
What is the gas equation for 8 kg of oxygen gas?
a) PV = RT/4
b) P = RT/2
c) PV = 8RT
d) PV = RT
Option a – PV = RT/4
The r.m.s. speed of a diatomic gas is found to be 1930 m/s at room temperature. Which gas is this most likely to be?
a) Chlorine
b) Fluorine
c) Oxygen
d) Hydrogen
Option d – Hydrogen
How many degrees of freedom are there in a diatomic Molecule for both translational and rotational motion?
a) 5
b) 2
c) 1
d) 4
Option a – 5
In kinetic gas theory, if pressure is defined as P = 2E/3V, what does E represent?
a) Rotational energy of gas molecules
b) Mechanical energy of gas molecules
c) Kinetic energy of gas molecules
d) None of the above
Option d – None of the above
Which statement is true about the molar Heat capacity of an ideal gas?
a) It is zero during an adiabatic process
b) It equals Molecular Mass multiplied by specific Heat for any condition
c) It depends on gas type under constant pressure or volume and becomes infinite in isothermal processes
d) All of the above
Option d – All of the above
Among the following gases, which one exhibits the highest r.m.s. speed at the same temperature?
a) CO₂
b) O₂
c) H₂
d) N₂
Option c – H₂
According to Kinetic Theory, what happens to gas molecules at absolute zero?
a) Helium turns Solid
b) Molecular motion halts completely
c) Hydrogen liquefies
d) None of the above
Under which condition can a real gas behave nearly like an ideal gas?
a) Very high pressure and standard temperature
b) Very high temperature and standard pressure
c) Very low Molecular density
d) At standard temperature and pressure (STP)
Option b – Very high temperature and standard pressure
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