मराठी
महाराष्ट्र राज्य शिक्षण मंडळएचएससी विज्ञान (सामान्य) इयत्ता १२ वी

Calculate the ratio of the mean square speeds of molecules of a gas at 30 K and 120 K.

Advertisements
Advertisements

प्रश्न

Calculate the ratio of the mean square speeds of molecules of a gas at 30 K and 120 K.

बेरीज
Advertisements

उत्तर

Data: T1 = 30 K, T2 = 120 K

The mean square speed, `bar"v"^2 = "3RT"/"M"_0`

∴ `bar"v"_1^2/bar"v"_2^2 = "T"_1/"T"_2` for a given gas

∴ `bar"v"_1^2/bar"v"_2^2 = (30"K")/(120"k") = 1/4`

This is the required ratio.

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 3: Kinetic Theory of Gases and Radiation - Exercises [पृष्ठ ७३]

APPEARS IN

बालभारती Physics [English] Standard 12 Maharashtra State Board
पाठ 3 Kinetic Theory of Gases and Radiation
Exercises | Q 11 | पृष्ठ ७३

संबंधित प्रश्‍न

Do you expect the gas in a cooking gas cylinder to obey the ideal gas equation?


Comment on the following statement: the temperature of all the molecules in a sample of a gas is the same.


The mean square speed of the molecules of a gas at absolute temperature T is proportional to 


Which of the following quantities is the same for all ideal gases at the same temperature?
(a) The kinetic energy of 1 mole
(b) The kinetic energy of 1 g
(c) The number of molecules in 1 mole
(d) The number of molecules in 1 g


A gas cylinder has walls that can bear a maximum pressure of 1.0 × 106 Pa. It contains a gas at 8.0 × 105 Pa and 300 K. The cylinder is steadily heated. Neglecting any change in the volume, calculate the temperature at which the cylinder will break.


0.040 g of He is kept in a closed container initially at 100.0°C. The container is now heated. Neglecting the expansion of the container, calculate the temperature at which the internal energy is increased by 12 J.

Use R = 8.3 J K-1 mol-1


An ideal gas is kept in a long cylindrical vessel fitted with a frictionless piston of cross-sectional area 10 cm2 and weight 1 kg in figure. The vessel itself is kept in a big chamber containing air at atmospheric pressure 100 kPa. The length of the gas column is 20 cm. If the chamber is now completely evacuated by an exhaust pump, what will be the length of the gas column? Assume the temperature to remain constant throughout the process.


A glass contains some water at room temperature 20°C. Refrigerated water is added to it slowly. when the temperature of the glass reaches 10°C, small droplets condense on the outer surface. Calculate the relative humidity in the room. The boiling point of water at a pressure of 17.5 mm of mercury is 20°C and at 8.9 mm of mercury it is 10°C.


When a gas is heated, its temperature increases. Explain this phenomenon on the basis of the kinetic theory of gases.


Above what temperature, all bodies radiate electromagnetic radiation? 


If the density of nitrogen is 1.25 kg/m3 at a pressure of 105 Pa, find the root mean square velocity of nitrogen molecules. 


Compare the rate of radiation of metal bodies at 727 °C and 227 °C.  


When photons of energy hv fall on a metal plate of work function 'W0', photoelectrons of maximum kinetic energy 'K' are ejected. If the frequency of the radiation is doubled, the maximum kinetic energy of the ejected photoelectrons will be ______.


The average translational kinetic energy of a molecule in a gas becomes equal to 0.49 eV at a temperature about (Boltzmann constant = 1.38 x 10-23 JK-1) ____________.


A cylinder containing an ideal gas is in vertical position and has a piston of mass M that is able to move up or down without friction (Figure). If the temperature is increased ______.


Volume versus temperature graphs for a given mass of an ideal gas are shown in figure at two different values of constant pressure. What can be inferred about relation between P1 and P2?


A gas mixture consists of molecules of types A, B and C with masses mA > mB > mC. Rank the three types of molecules in decreasing order of rms speeds.


An insulated container containing monoatomic gas of molar mass m is moving with a velocity vo. If the container is suddenly stopped, find the change in temperature.


23Ne decays to 23Na by negative beta emission. Mass of 23Ne is 22.994465 amu mass of 23Na is 22.989768 amu. The maximum kinetic energy of emitted electrons neglecting the kinetic energy of recoiling product nucleus is ______ MeV.


The Q-value of a nuclear reaction and kinetic energy of the projectile particle, KP are related as ______.


For a particle moving in vertical circle, the total energy at different positions along the path ______.


According to the kinetic theory of gases, at a given temperature, molecules of all gases have the same ______.


If a = 0. 72 and r = 0.24, then the value of t is ______.


2000 calories of radiant heat is incident on a body. If the body absorbs 550 calories of heat, find the coefficient of emmission of the body.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×