Advertisements
Advertisements
प्रश्न
Estimate the total number of air molecules in a room of a capacity of 25 m3 at a temperature of 27°C.
Advertisements
उत्तर
T = 27°C + 273 = 300 K
kB = 1.38 × 10−23 J K−1
V = 25 m3
As Boltzmann’s Constant, kB = `"R"/"N"` ⇒ R = kBN
Now, PV = nRT = nkBNT
The number of molecules in the room,
nN = `"PV"/("k"_"B""T") = (1.013 xx 10^5 xx 25)/(1.38 xx 10^-23 xx 300)`
= `(25.325 xx 10^5)/(414 xx 10^-23)`
= 0.06117 × 1028
= 6.117 × 1026 molecules
nN = 6.1 × 1026 molecules
APPEARS IN
संबंधित प्रश्न
A sample of an ideal gas is at equilibrium. Which of the following quantity is zero?
If the internal energy of an ideal gas U and volume V are doubled then the pressure ____________.
Which of the following shows the correct relationship between the pressure and density of an ideal gas at constant temperature?
The following graph represents the pressure versus number density for an ideal gas at two different temperatures T1 and T2. The graph implies
What is the microscopic origin of pressure?
If 1020 oxygen molecules per second strike 4 cm2 of wall at an angle of 30° with the normal when moving at a speed of 2 × 103 ms−1, find the pressure exerted on the wall. (mass of one oxygen atom = 2.67 × 10−26 kg)
A perfect gas of 'N' molecules, each of mass 'm', moving with velocities 'C1', 'C2', ...... .'CN' is enclosed in a cubical vessel of volume 'V'. The pressure exerted by the gas on the walls of the vessel is ______. ('p' = density of gas)
The average force applied on the walls of a closed container depends as 'Tx', where 'T' is the temperature of an ideal gas. The value of 'x' is ______.
What is an ideal gas?
The kinetic energy per molecule of a gas at temperature T is ______.
