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

Find the kinetic energy of 5 liters of a gas at STP, given the standard pressure is 1.013 × 105 N/m2. - Physics

Advertisements
Advertisements

प्रश्न

Find the kinetic energy of 5 litres of a gas at STP, given the standard pressure is 1.013 × 105 N/m2.

संख्यात्मक
Advertisements

उत्तर

Given: P = 1.013 × 105 N/m2, V = 5 litres = 5 × 10-3 m3 

E = `3/2"PV"`

`= 3/2(1.013xx10^5 "N"/"m"^2)(5xx10^-3 "m"^3)`

= 7.5 × 1.013 × 102 J

= 7.597 × 102 J

This is the required energy.

shaalaa.com
Interpretation of Temperature in Kinetic Theory
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 3: Kinetic Theory of Gases and Radiation - Exercises [पृष्ठ ७४]

APPEARS IN

बालभारती Physics [English] Standard 12 Maharashtra State Board
पाठ 3 Kinetic Theory of Gases and Radiation
Exercises | Q 17 | पृष्ठ ७४

संबंधित प्रश्‍न

When we place a gas cylinder on a van and the van moves, does the kinetic energy of the molecules increase? Does the temperature increase?


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


Can we define the temperature of (a) vacuum, (b) a single molecule?


It is said that the assumptions of kinetic theory are good for gases having low densities. Suppose a container is so evacuated that only one molecule is left in it. Which of the assumptions of kinetic theory will not be valid for such a situation? Can we assign a temperature to this gas?


When you come out of a river after a dip, you feel cold. Explain.


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


Figure shows a cylindrical tube of radius 5 cm and length 20 cm. It is closed by a tight-fitting cork. The friction coefficient between the cork and the tube is 0.20. The tube contains an ideal gas at a pressure of 1 atm and a temperature of 300 K. The tube is slowly heated and it is found that the cork pops out when the temperature reaches 600 K. Let dN denote the magnitude of the normal contact force exerted by a small length dlof the cork along the periphery (see the figure). Assuming that the temperature of the gas is uniform at any instant, calculate `(dN)/(dt)`.


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.


The weather report reads, "Temperature 20°C : Relative humidity 100%". What is the dew point?


The condition of air in a closed room is described as follows. Temperature = 25°C, relative humidity = 60%, pressure = 104 kPa. If all the water vapour is removed from the room without changing the temperature, what will be the new pressure? The saturation vapour pressure at 25°C − 3.2 kPa.


Answer in brief:

A gas in a cylinder is at pressure P. If the masses of all the molecules are made one-third of their original value and their speeds are doubled, then find the resultant pressure.


Explain, on the basis of the kinetic theory of gases, how the pressure of a gas changes if its volume is reduced at a constant temperature.


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


Compare the rates of emission of heat by a blackbody maintained at 727°C and at 227°C, if the black bodies are surrounded by an enclosure (black) at 27°C. What would be the ratio of their rates of loss of heat?


Earth’s mean temperature can be assumed to be 280 K. How will the curve of blackbody radiation look like for this temperature? Find out λmax. In which part of the electromagnetic spectrum, does this value lie? (Take Wien's constant b = 2.897 × 10−3 m K)


The power radiated by a perfect blackbody depends only on its ______ 


Calculate the value of λmax for radiation from a body having a surface temperature of 3000 K. (b = 2.897 x 10-3 m K) 


Under which condition laws of Boyle, Charles, and Gay-Lussac are valid?


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. 


The average K.E. of hydrogen molecules at 27° C is E. The average K.E. at 627° C is ____________.


A ring of mass m and radius r rotates about an axis passing through its centre and perpendicular to its plane with angular velocity `omega`. Its kinetic energy is ______.


The molecules of a given mass of a gas have root mean square speeds of 100 ms−1 at 27°C and 1.00 atmospheric pressure. What will be the root mean square speeds of the molecules of the gas at 127°C and 2.0 atmospheric pressure?


Explain why there is no atmosphere on moon.


A proton, a deuteron and an α-particle with same kinetic energy enter into a uniform magnetic field at right angle to magnetic field. The ratio of the radii of their respective circular paths is ______.


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


At what temperature will therms velocity of a gas be four times its value at STP?


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×