Two vessels separately contain two ideal gases and at the same temperature. The pressure of being twice that of . Under such conditions, the density of is found to be 1.5 times the density of . The ratio of molecular weight of and is :
2
Get Answer
From
and
From question,
so,
The molecules of a given mass of a gas have r.m.s. velocity of at and pressure. When the temperature and pressure of the gas are respectively, and , the r.m.s. velocity of its molecules in is :
Here ;
temperature
temperature ?
R.M.S. Velocity,
A gas mixture consists of 2 moles of and 4 moles of at temperature T. Neglecting all vibrational modes, the total internal energy of the system is :
Internal energy of the system is given by
Degree of freedom;
and, number of moles
At what temperature will the rms speed of oxygen molecules become just sufficient for escaping from the Earth's atmosphere?
(Given :
Mass of oxygen molecule
Boltzmann's constant )
Let at temperature rms speed of oxygen molecules become just sufficient for escaping from the Earth's atmosphere
Also,
Putting value of and we get,
Increase in temperature of a gas filled in a container would lead to:
increase in its mass
increase in its kinetic energy
decrease in its pressure
decrease in intermolecular distance
As
Increase in temperature would lead to the increase in kinetic energy of gas.
A cylinder contains hydrogen gas at pressure of and temperature .
Its density is :
Given : Pressure
Mass of hydrogen,
Temperature,
Using, ideal gas equation,
The mean free path for a gas, with molecular diameter and number density can be expressed as :
Mean free path for a gas
Here, diameter of a gas molecule and, molecular density.
The average thermal energy for a mono-atomic gas is : is Boltzmann constant and , absolute temperature)
From the law of equipartition of energy, energy associated with each degree of freedom is .
For monoatomic gases, degree of freedom is 3 . Hence average thermal energy for mono-atomic gas is
Match Column - I and Column - II and choose the correct match from the given choices.
Column - I Column-II
(A) Root mean square speed of gas molecules (i)
(B) Pressure exerted by ideal gas (ii)
(C) Average kinetic energy of a molecule (iii)
(D) Total internal energy of 1 mole of a diatomic gas (iv)
A- (iii), B - (ii), C- (i), D - (iv)
A - (iii), B - (i), C - (iv), D - (ii)
A - (ii), B - (iii), C - (iv), D - (i)
A - (ii), B - (i), C - (iv), D - (iii)
Root mean square RMS speed of gas molecule
Pressure exerted by ideal gas
Average kinetic energy of a molecule Total internal energy of a gas is
Here, for one mole and
for diatomic
The volume occupied by the molecules contained in 4.5 water of STP, if the intermolecular forces vanish away is
Number of moles of water molecules (n)
[at STP, T ]
General Knowledge
Academics Question Bank
PHYSICS
CHEMISTRY
BIOLOGY
MATHEMATICS
THE WORLD AROUND US
HISTORY
GEOGRAPHY
CIVICS
ECONOMICS
Physics
How - Why - What
NCERT Books (Class 1-12)
Learn At Your Own Pace... Because, Everyone's Pace of Learning is Different...
A unit of Innovexcel Edu Solution LLP.
SWIFT, RELIABLE & CONVENIENT..
Social Media
Corporate Office : Bharat Impact Building, C-26, Sector - 59, Noida, Uttar Pradesh - 201301, India
Excel With Tutors : A Perfect Tutoring Platform & Repository of Learning Materials. Matches the Best Tutor as Per Your Requirement.
© 2025 | ©Innovexcel Edu Solution LLP. All Rights Reserved.
Technology Partner: Indev Consultancy Pvt Ltd