MEDIUM
Earn 100

Assertion: For an ideal gas, at constant temperature, the product of the pressure and volume is constant.

Reason: The mean square speed of the molecules is 3kBTm , kB = Boltzman's constant, m = mass of molecule.

50% studentsanswered this correctly

Important Questions on Heat and Thermodynamics

MEDIUM
In an ideal gas at temperature T, the average force that a molecule applies on the walls of a closed container depends on T as Tq . A good estimate for q is:
HARD
What is global warming? Discuss the cause and effect of global warming. What measures need to be taken to control global warming? 
EASY
The molecules of a given mass of gas have RMS velocity of 200  s-1 at 27oC and 1.0×105 m-2 pressure. When the temperature and pressure of the gas are respectively, 127oC and 0.05×105 m-2, the r.m.s. velocity of its molecules in s-1 is:
EASY
Two vessels separately contain two ideal gases A and B at the same temperature, the pressure of A being twice that of B. Under such conditions, the density of A is found to be 1.5 times the density of B. The ratio of molecular weights of A and B is
HARD

Match the following:

List-1 List-2
A) Global warming
B) Eutrophication
C) Biomagnification
D) Ozone depletion
I) Mercury
II) UV-B rays
III) Methane
IV) Algal blooms
V) Terror of Bengal

The correct match is:

MEDIUM
A spring - block system is resting on a frictionless floor as shown in the figure. The spring constant is 2.0 N m-1 and the mass of the block is 2.0kg . Ignore the mass of the spring. Initially the spring is in an unstretched condition. Another block of mass 1.0kg moving with a speed of 2.0m s-1 collides elastically with the first block. The collision is such that the 2.0kg block does not hit the wall. The distance, in metres, between the two blocks when the spring returns to its unstretched position for the first time after the collision is _________.

Question Image
MEDIUM
If 1022 gas molecules each of mass 10-26 kg collides with a surface (perpendicular to it) elastically per second over an area 1 m2 with a speed 104m/s, the pressure exerted by the gas molecules will be of the order of:
EASY
In the kinetic theory of gases, it is assumed that the gas molecules:
HARD
If the masses of all molecules of a gas are halved and their speeds doubled, then the ratio of initial and final pressure will be
EASY
The temperature of an ideal gas is increased from 100 K to 400 K . If the rms speed of the gas molecule is V at 100 K , then at 400 K it becomes
MEDIUM
Two gases - argon (atomic radius 0.07nm, atomic weight 40 ) and xenon (atomic radius 0.1nm, atomic weight 140 ) have the same number density and are at the same temperature. The ratio of their respective mean free times is closest to:
EASY
Which of the following shows the correct relationship between the pressure 'P' and density ρ of an ideal gas at constant temperature ?
MEDIUM
A 15 g mass of nitrogen gas is enclosed in a vessel at a temperature, 27oC. The amount of heat transferred to the gas, so that R.M.S. velocity of molecules is doubled, is about.
R=8.3 J K mole-1
EASY
Increase in temperature of a gas filled in a container will lead to
MEDIUM
A 25×10-3 m3 volume cylinder is filled with 1 mol of O2 gas at room temperature (300 K) . The molecular diameter of O2 , and its root mean square speed, are found to be 0.3 nm and 200 m s-1 , respectively. What is the average collision rate (per second) for an O2 molecule?
MEDIUM
The temperature, at which the root mean square velocity of hydrogen molecules equals their escape their escape velocity from the earth, is closest to:
[ Boltzmann Constant kB=1.38×10-23 J/K
Avogadro number NA=6.02×1026 /kg
Radius of Earth: 6.4×106 m
Gravitational acceleration on Earth =10 ms-2] 
MEDIUM
What is global warming? Give any two causes responsible for global warming.
MEDIUM
Match the following
  LIST-I   LIST-II
A Radioactive wastes I Global warming
B Greenhouse effect II Snow blindness
C UV — B rays III Biomagnification
D DDT IV Mutations
    V Eutrophication

The correct match is

EASY
N molecules each of mass m of a gas A and 2N molecules each of mass 2m of gas B are contained in the same vessel which is maintained at temperature T. The mean square velocity of molecules of B type is v2 and the mean square rectangular component of the velocity of A type is denoted by ω2 . Then the value of ω2/v2 is -