Question

3.
Derive the equation of KE per mole, using the equation of pressure exerted by the gas on the walls of the
container​

Answer 1

Answer:

Kinetic energy of the gas K=  

2

1

​  

mv  

rms

2

​  

 

Rms velocity of gas molecules  v  

rms

​  

=  

m

3RT

​  

 

​  

 

∴ K=  

2

1

​  

m.  

m

3RT

​  

=  

2

3

​  

RT

From ideal gas equation, RT=PV

⟹ K=  

2

3

​  

PV

Thus we get pressure of the gas  P=  

3

2

​  

 

V

K

​

Explanation: