English
Karnataka Board PUCPUC Science Class 11

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

Advertisements
Advertisements

Question

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

Sum
Advertisements

Solution

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
  Is there an error in this question or solution?
Chapter 2: Kinetic Theory of Gases - Exercises [Page 34]

APPEARS IN

HC Verma Concepts of Physics Vol. 2 [English] Class 11 and 12
Chapter 2 Kinetic Theory of Gases
Exercises | Q 2 | Page 34

RELATED QUESTIONS

Is it possible to boil water at room temperature, say 30°C? If we touch a flask containing water boiling at this temperature, will it be hot?


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


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.


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


Calculate the average molecular kinetic energy 

  1. per kmol 
  2. per kg 
  3. per molecule 

of oxygen at 127°C, given that the molecular weight of oxygen is 32, R is 8.31 J mol−1K1 and Avogadro’s number NA is 6.02 × 1023 molecules mol1.


The emissive power of a sphere of area 0.02 m2 is 0.5 kcal s-1m-2. What is the amount of heat radiated by the spherical surface in 20 seconds?


Find the temperature of a blackbody if its spectrum has a peak at (a) λmax = 700 nm (visible), (b) λmax = 3 cm (microwave region) (c) λmax = 3 m (short radio waves). (Take Wien’s constant b = 2.897 × 10-3 m.K).


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


What is the microscopic origin 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 molecule consists of two atoms each of mass 'm' and separated by a distance 'd'. At room temperature the average rotational kinetic energy is 'E', then its angular frequency is ______.


An inflated rubber balloon contains one mole of an ideal gas, has a pressure p, volume V and temperature T. If the temperature rises to 1.1 T, and the volume is increased to 1.05 V, the final pressure will be ______.


Explain why there is no atmosphere on moon.


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 ______.


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


If a = 0. 72 and t = 0.04, then the value of r is ______.


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


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×