Calculate the volume of 3 mole of an ideal gas at STP

Solution

Calculate the mass of 4 cm

Solution

Equal masses of air are filled and sealed in two container ,one of volume V

Solution

An glass bulb of volume 390 cc was sealed at a pressure of 2*10

g=10 m/s

Solution

A gas container has a walls that can bear maximum pressure of 2.2 x 10

Solution

Density of an ideal gas at STP is 3 x 10

Solution

A vessel of volume V=30 L contains ideal gas at temperature 0° C. After the portion of gas has been let out, the pressure in the vessel decreased by ΔP=.78 atm(Temp remaining constant).Find the mas of the gas released. The gas density under normal condition is ρ=1.3 g/L

Solution

A vessel of volume V=20L contains a mixture of hydrogen and helium at T=20° C and Pressure P=2.0 atm.The mass of the mixture is equal to m=5g.Find the ratio of the mass of the hydrogen to that mass of the helium in the mixture. Given R=.082 L.atm.mol

Solution

Find the rms speed of the hydrogen molecules in a sample of hydrogen gas at 250K .Find the temperature at which rms speed is three times the speed at 250K

Solution

An ideal gas sample of .203 gm occupies 1000 cm

Solution

The mean speed of the molecules of a hydrogen sample equals the mean speed of the molecules of helium sample. Calculate the ratio of temperature of hydrogen sample to the temperature of the helium sample.

Solution

Find the ratio of the mean speed of the hydrogen molecule to the mean speed of the oxygen molecules in a sample containing mixture of two gases

Solution

A vessel is partitioned by a fixed diathermic separator. Different ideal gases are filled in the two parts. The rms speed of the molecules in the left part equals the mean speed in the right part. Calculate the ratio of the mass of the molecule in the left part to the mass of the molecule in the right part?

Solution

An air bubble of radius 3.00 mm is formed at the bottom of the 4 m deep river. Calculate the radius of the air bubble as it comes to the surface .Atmospheric pressure=10

Solution

Air is pumped into the tubes of a cycle at 1.5 atm pressure and volume of tube at this pressure is .002 m

Solution

A tank attached to an air compressor contains 30L of air at temperature of 40° C and gauge pressure 5*10

Solution

Figure below shows two vessels A and B with rigid walls containing ideal gases. The pressure ,temperature and volume are P

P/T=1/2[P

when equilibrium is reached

Solution

Figure shows a cylindrical tube of length 30 cm partitioned by a tight fitting separator.The separator is weekly conducting and can freely slide along the tube. Ideal gases are filled in the two parts of the vessel. In the beginning, temp in two parts A and B are 400K and 100 K respectively. The separator slides to a momentary equilibrium position as shown in fig.Find the equilibrium position of the separator reached after the long time

Solution

Assertion and Reason

a) Statement I is true ,statement II is true ,statement II is correct explanation for statement I

b) Statement I is true ,statement II is true ,statement II is not a correct explanation for statement I

c) Statement I is true,Statement II is false

d) Statement I is False,Statement II is True

a) Statement I is true ,statement II is true ,statement II is correct explanation for statement I

b) Statement I is true ,statement II is true ,statement II is not a correct explanation for statement I

c) Statement I is true,Statement II is false

d) Statement I is False,Statement II is True

STATEMENT 1:The root mean square velocity of molecules of a gas having Maxwellian distribution of velocities is higher than then the most probable speed at any temperature

STATEMENT II:A very small number of molecules of as gas which possess very large velocities,increase the root mean square velocity without effecting the most probable speed.

Solution

STATEMENT 1:Root mean square velocity of the gas does not change in a Isothermal process

STATEMENT 2:Isothermal process may be achieved by immersing the system in large reservoir and performing the process slowly

Solution

STATEMENT 1:In an gas $v_{rms} > v_{mean}$

STATEMENT 2: In an gas $v_{rms} < v_{most probable}$

Solution

STATEMENT 1:Thermal conduction is the heat transfer that occurs in the direction of temperature decrease

STATEMENT 2:Thermal conduction is solids occurs due to vibrational energy of the molecules about the equilibrium position

Solution

Three identical cylinder $A_1$,$A_2$,$A_3$ contains equal moles of Helium,Nitrogen,Carbon dioxide at the same temperature

Match the column A to column B

A.Translational Energy is maximum in the cylinder

B.Total energy is minimum in the cylinder

C.Root mean square velocity is maximum in the cylinder

D.Mean speed will be minimum in the cylinder

P. $A_1$

Q. $A_2$

R. $A_3$

S. No appropriate match given

Solution

Consider an ideal gas with following distribution of speeds

(i) Calculate $V_{rms}$ and hence T. (m= 3.0 × 10

(ii) If all the molecules with speed 1000 m/s escape from the system, calculate new $V_{rms}$ and hence T.

$K_b= 1.38 \times 10^{-23} $

Solution

An ideal gas sample of .203 gm occupies 1000 cm

Solution

How will the rate of collision of a rigid diatomic molecules against the vessel will change ,if the gas is expanded adiabatically η times

Solution

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