हिंदी

Find the kinetic energy of 5000 cc of a gas at STP, given the standard pressure is 1.013 × 10^5 N/m2.

Advertisements
Advertisements

प्रश्न

Find the kinetic energy of 5000 cc 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 = 5000 cc = 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

= 7.598 × 102 J

The required energy is 7.598 × 102 J.

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 3: Kinetic Theory of Gases and Radiation - Exercises [पृष्ठ ७४]

APPEARS IN

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

संबंधित प्रश्न

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


Which of the following parameters is the same for molecules of all gases at a given temperature?


The temperature and pressure at Simla are 15.0°C and 72.0 cm of mercury and at Kalka these are 35.0°C and 76.0 cm of mercury. Find the ratio of air density at Kalka to the air density at Simla.

Use R=8.314J K-1 mol-1


The average translational kinetic energy of air molecules is 0.040 eV (1 eV = 1.6 × 10−19J). Calculate the temperature of the air. Boltzmann constant k = 1.38 × 10−23 J K−1.


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)`.


The temperature and the dew point in an open room are 20°C and 10°C. If the room temperature drops to 15°C, what will be the new dew point?


Figure shows two rigid vessels A and B, each of volume 200 cm3, containing an ideal gas (Cv = 12.5 J K−1 mol−1). The vessels are connected to a manometer tube containing mercury. The pressure in both the vessels is 75 cm of mercury and the temperature is 300 K. (a) Find the number of moles of the gas in each vessel. (b) 5.0 J of heat is supplied to the gas in vessel A and 10 J to the gas in vessel B. Assuming there's no appreciable transfer of heat from A to B, calculate the difference in the heights of mercury in the two sides of the manometer. Gas constant, R = 8.3 J K−1 mol−1.


If a = 0.72 and r = 0.24, then the value of tr is ______.


Answer in brief:

What will happen to the mean square speed of the molecules of a gas if the temperature of the gas increases?


Answer in brief:

Show that rms velocity of an oxygen molecule is `sqrt2` times that of a sulfur dioxide molecule at S.T.P.


Energy is emitted from a hole in an electric furnace at the rate of 20 W when the temperature of the furnace is 727°C. What is the area of the hole? (Take Stefan’s constant σ to be 5.7 × 10-8 Js-1 m-2K-4.)


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 number of degrees of freedom, for the vibrational motion of a polyatomic molecule, depends on the ______ 


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


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.  


A metal cube of length 4 cm radiates heat at the rate of 10 J/s. Find its emissive power at a given temperature. 


Two molecules of a gas have speeds of 9 × 10 6 ms−1 and 1 × 106 ms−1, respectively. What is the root mean square speed of these molecules?


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.


Explain why there is no atmosphere on moon.


Consider a rectangular block of wood moving with a velocity v0 in a gas at temperature T and mass density ρ. Assume the velocity is along x-axis and the area of cross-section of the block perpendicular to v0 is A. Show that the drag force on the block is `4ρAv_0 sqrt((KT)/m)`, where m is the mass of the gas molecule.


When a particle oscillates simple harmonically, its kinetic energy varies periodically. If frequency of the particle is n, then the frequency of the kinetic energy is ______.


Which of the following materials is diathermanous?


Show that the average energy per molecule is directly proportional to the absolute temperature ‘T’ of the gas.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×