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.

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
  Is there an error in this question or solution?
Chapter 24: Kinetic Theory of Gases - Exercises [Page 34]

APPEARS IN

HC Verma Concepts of Physics Volume 1 and 2 [English]
Chapter 24 Kinetic Theory of Gases
Exercises | Q 2 | Page 34

RELATED QUESTIONS

A gas is kept in an enclosure. The pressure of the gas is reduced by pumping out some gas. Will the temperature of the gas decrease by Charles's low?


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?


The pressure of an ideal gas is written as \[P = \frac{2E}{3V}\] . Here E refers to 

 

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.


Figure shows two vessels A and B with rigid walls containing ideal gases. The pressure, temperature and the volume are pA, TA, V in the vessel A and pB, TB, V in the vessel B. The vessels are now connected through a small tube. Show that the pressure p and the temperature T satisfy `Ρ/T = 1/2 ({P_A}/{T_A}+{P_B}/{T_B))` when equilibrium is achieved.


Figure shows a cylindrical tube of cross-sectional area A fitted with two frictionless pistons. The pistons are connected to each other by a metallic wire. Initially, the temperature of the gas is T0 and its pressure is p0 which equals the atmospheric pressure. (a) What is the tension in the wire? (b) What will be the tension if the temperature is increased to 2T0 ?


Two vessels A and B are filled with the same gas where the volume, temperature, and pressure in vessel A is twice the volume, temperature, and pressure in vessel B. Calculate the ratio of the number of molecules of the gas in vessel A to that in vessel B.


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


Calculate the energy radiated in one minute by a blackbody of surface area 200 cm2 at 127 °C (σ = 5.7 x 10-8 J m-2 s-1 K-4)  


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


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 ______.


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 ______.


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?


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?


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?


Explain why there is no atmosphere on moon.


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 ______.


Two gases A and B are at absolute temperatures of 360 K and 420 K, respectively. The ratio of the average kinetic energy of the molecules of gas B to that of gas A is ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×