हिंदी
कर्नाटक बोर्ड पी.यू.सी.पीयूसी विज्ञान कक्षा ११

Div » P Find the Number of Molecules of an Ideal Gas in a Volume of 1.000 Cm3 at Stp. - Physics

Advertisements
Advertisements

प्रश्न

Find the number of molecules of an ideal gas in a volume of 1.000 cm3 at STP.

योग

उत्तर

Here,
Volume of ideal gas at STP = 22.4 L
Number of molecules in 22.4 L of ideal gas at STP = 6.022\[\times\]1023 
 Number of molecules in 22.4​\[\times\]103 cmof ideal gas at STP = ​6.022\[\times\]1023 
Now,
Number of molecules in 1 cm3 of ideal gas at STP =\[\frac{6 . 022 \times {10}^{23}}{22 . 4 \times {10}^3} = 2 . 688 \times  {10}^{19}\]

shaalaa.com
Interpretation of Temperature in Kinetic Theory
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 2: Kinetic Theory of Gases - Exercises [पृष्ठ ३४]

APPEARS IN

एचसी वर्मा Concepts of Physics Vol. 2 [English] Class 11 and 12
अध्याय 2 Kinetic Theory of Gases
Exercises | Q 2 | पृष्ठ ३४

संबंधित प्रश्न

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.


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

Use R = 8.314 JK-1 mol-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


An ideal gas is trapped between a mercury column and the closed-end of a narrow vertical tube of uniform base containing the column. The upper end of the tube is open to the atmosphere. The atmospheric pressure equals 76 cm of mercury. The lengths of the mercury column and the trapped air column are 20 cm and 43 cm respectively. What will be the length of the air column when the tube is tilted slowly in a vertical plane through an angle of 60°? Assume the temperature to remain constant.


One mole of an ideal gas undergoes a process `P = (P_0)/(1+(V/V_0)^2` where `p_0` and `V_0` are constants . Find the temperature of the gas when `V=V_0` .


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.


Answer in brief:

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


In an ideal gas, the molecules possess


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.


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.)


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?


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


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. 


Explain in detail the kinetic interpretation of temperature.


Assuming the expression for the pressure exerted by the gas on the wall of the container, it can be shown that pressure is ______.


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 ______.


When the temperature of an ideal gas is increased from 27°C to 227°C, its speed is changed from 400 ms-1 to vs, and Then vs is ______.


Assuming the expression for the pressure P exerted by an ideal gas, prove that the kinetic energy per unit volume of the gas is `3/2` P.


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


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×